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Go through the Math in Focus Grade 5 Workbook Answer Key Chapter 5 Practice 2 Using Letters as Numbers to finish your assignments.

Math in Focus Grade 5 Chapter 5 Practice 2 Answer Key Using Letters as Numbers

Write an expression for each situation.

Question 1.
Susan has 10 apples and 6 oranges. How many pieces of fruit does she have?
Answer:
10 + 6 = 16
She have 16 pieces of fruits.
Explanation:
Susan has 10 apples and 6 oranges. Add 10 apples with 6 oranges the sum is 16. She have 16 pieces of fruits.

Question 2.
Juan has x apples and 8 oranges. How many pieces of fruit does he have? Give your answer in terms of x.
Answer:
x + 8
He have x + 8 pieces of fruits.
Explanation:
Juan has x apples and 8 oranges. Add x apples with 8 oranges the sum is x + 8. He have x + 8 pieces of fruits.

Question 3.
Henry has $18. He spends $2. How much does he have left?
Answer:
$18 – $2 = $16
He have $16 left.
Explanation:
Henry has $18. He spends $2. Subtract $2 from $18 the difference is $16.

Question 4.
Katie has m dollars. She spends $5. How much does she have left? Give your answer in terms of m.
Answer:
(m – 5)$
She have $m – $5 left.
Explanation:
Katie has m dollars. She spends $5. The expression is $m – $5.

Write an expression for the situation.

Question 5.
Hugo has $20. He spends n dollars. How much does he have left? Give your answer in terms of n.
Answer:
$20 – $n
He have $20 – $n left.
Explanation:
Hugo has $20. He spends n dollars. He have $20 – $n left.

Write an algebraic expression for each of the following.

Example
Add 9 to y.
y + 9 or 9 + y

Question 6.
Add b to 11
Answer:
b + 11 or 11 + b
Explanation:
The algebraic expression for Add b to 11 is b + 11 or 11 + b.

Question 7.
Subtract 6 from c
Answer:
c – 6
Explanation:
The algebraic expression for Subtract 6 from c is c – 6.

Question 8.
Subtract p from 15.
Answer:
15 – p
Explanation:
The algebraic expression for Subtract p from 15 is 15 – p.

Question 9.
12 more than d.
Answer:
12 > d
Explanation:
The algebraic expression for 12 more than d is 12 > d.

Question 10.
15 less than g.
Answer:
15 < g
Explanation:
The algebraic expression for 15 less than g is 15 < g.

Evaluate each expression for the given values of y.

Answer:

Question 11.
y – 12
Answer:
For y = 25
y – 12 = 25 – 12 = 13
For y = 16
y – 12 = 16 – 12 = 4
Explanation:
Place y = 25 in the expression y -12. Subtract 12 from 25 the difference is 13.
Place y = 16 in the expression y – 12. Subtract 12 from 16 the difference is 4.

Question 12.
18 + y
Answer:
For y = 25 
18 + y = 18 + 25 = 43
For y = 16
18 + y = 18 + 16 = 34
Explanation:
Place y = 25 in the expression 18 + y. Add 18 to 25 the sum is 43.
Place y = 16 in the expression 18 + y . Add 18 to 16  the sum is 34.

Question 13.
35 – y
Answer:
For y = 25 
35 – y = 35 – 25 = 10
For y = 16
35 – y = 35 – 16 = 19
Explanation:
Place y = 25 in the expression 35 – y. Subtract 25 from 35 the difference is 10.
Place y = 16 in the expression 35 – y. Subtract 16 from 35 the difference is 19.

Write each of the following in at least three other ways.

Example

Question 14.
18 × m _______
Answer:
The three other ways of 6n is m × 18, 18 groups of n, 18n.

Question 15.
75 groups of y _______
Answer:
The three other ways of 75 groups of y is 75y, 75 × y, y × 75.

Question 16.
y groups of 12 _______
Answer:
The three other ways of  y groups of 12 is y12, y × 12, 12 × y.

Write an expression for each situation.

Question 17.
Julio has 4 boxes of pencils. There are 12 pencils in each box. How many pencils does Julio have?
Answer:
4 × 12 = 48
Julio have 48 pencils.
Explanation:
Julio has 4 boxes of pencils. There are 12 pencils in each box. Multiply 4 with 12 the product is 48. Julio have 48 pencils.

Question 18.
Tara has k boxes of pencils. There are 10 pencils in each box. How many pencils does Tara have? Give your answer in terms of k.
Answer:
k × 10 = 10k
Tara have 10k pencils.
Explanation:
Tara has k boxes of pencils. There are 10 pencils in each box. Multiply k with 10 the product is 10k. Tara have 10k pencils.

Write an expression for each situation.

Question 19.
A restaurant divided 20 gallons of lemonade among 4 containers. How much lemonade does each container contain?
Answer:
20 ÷ 4 = 5
Each container contains 5 lemonade.
Explanation:
A restaurant divided 20 gallons of lemonade among 4 containers. Divide 20 by 4 the result is 5. Each container contains 5 lemonade.

Question 20.
m gallons of lemonade are distributed equally among 3 people. How much lemonade does each person get? Give your answer in terms of m.
Answer:
m ÷ 3
Each person get m ÷ 3 lemonade.
Explanation:
m gallons of lemonade are distributed equally among 3 people. Divide m by 3. Each person get m ÷ 3 lemonade.

Question 21.
Multiply f and 6.
Answer:
f × 6 = 6f

Question 22.
Divide m by 5.
Answer:
m ÷ 5

Question 23.
Divide 22 by p.
Answer:
22 ÷ p

Evaluate each expression for t = 156.

Example
2t = 2 × D
= 2 × 156
= 312

Question 24.
\(\frac{t}{6}\) =
Answer:
For t = 156
t/6 = 156 /6 = 26
Explanation:
Place t = 156 in given expression t/6. Divide 156 by 6 the result is 26.

Question 25.
16t =
Answer:
For t = 156
16t = 16 × t = 16 × 156 = 2,496
Explanation:
Place t = 156 in given expression 6t. Multiply 16 with 156 the product is 2,496.

Question 26.
\(\frac{t}{13}\) =
Answer:
For t = 156
t/13= 156 /13 = 12
Explanation:
Place t = 156 in given expression t/13. Divide 156 by 13 the result is 12.

Write an algebraic expression for each situation.

Question 27.
A tank has x gallons of water. Ted adds 3 gallons of water into the tank. He pours the water equally into 4 smaller containers. How much water is in each container?
Answer:

Question 28.
Jenny has $15. She buys 2 books that cost m dollars each. How much does she have left?
Answer:
She have (15 – 2m)$ left.
Jenny has $15. She buys 2 books that cost m dollars each. She have (15 – 2m)$ left.

Write an algebraic expression for each situation.

Question 29.
Betty collected 400 food packages for charity. She gave g packages to an orphanage, and distributed the rest equally among 4 charities. How many packages did each charity get?
Answer:

Question 30.
To bake muffins, Matt needs x eggs for every 200 grams of flour. If he used 900 grams of flour, how many eggs did he use?
Answer:

Write an expression for each situation.

Example
Subtract 12 from the product of 8 and a.
8 × a – 12 = 8a – 12

Question 31.
Add 14 to the product of 3 and b.
Answer:
3 × b + 14 = 3b + 14
Explanation:
The expression for the situation add 14 to the product of 3 and b is 3b + 14.

Question 32.
Divide the product of 7 and d by 5.
Answer:
7 × d ÷ 5 = 7d ÷ 5
Explanation:
The expression for the situation divide the product of 7 and d by 5 is 7d ÷ 5.

Evaluate each expression for x = 5.

Example
13x – 4 = 13 × 5 – 4
= 65 – 4
= 61

Question 33.
5x + 12 =
Answer:
For x = 5
5x + 12 = 5 × 5 +12
= 25 + 12
= 37
Explanation:
Place x = 5 in the given expression 5x + 12. First multiply 5 with 5 the product is 25. Add 25 to 12 the sum is 37.

Question 34.
20 – 2x =
Answer:
For x = 5
20 – 2x = 20 – 2 × 5
= 20 – 10
= 10
Explanation:
Place x = 5 in the given expression 20 – 2x. First multiply 2 with 5 the product is 10. Subtract 10 from the 20 the difference is 10.

Question 35.
\(\frac{x}{10}\) + 2 =
Answer:
For x = 5
x/10 + 2 = 5/10 + 2
= 1/2 + 2
= 0.5 + 2
2.5
Explanation:
Place x = 5 in the given expression x/10 + 2. First divide 5 by 10 the result is 1/2which is 0.5. Add 0.5 with 2 the sum is 2.5.

Question 36.
\(\frac{6 x}{5}\) + 12 =
Answer:
For x = 5
6x/5 + 12 = (6 × 5)/5 + 12
= 6 + 12
= 18
Explanation:
Place x = 5 in the given expression 6x/5 + 12. First multiply 6 with 5 the product is 30. Next divide 30 by 5 the result is 6. Add 6 with 12 the sum is 18.

Fill in the boxes with the correct expressions. In the last box on the right, evaluate each expression for m = 28.

Example

Question 37.

Answer:

For m= 28
3m + 5 = 3 × 28 + 5
= 84 + 5
= 89
Explanation:
In the above image we can observe four boxes. Multiply 3 with m the product is 3m. Next add 3m with 5 the sum is
3m + 5.
Place m = 28 in the expression 3m + 5. Multiply 3 with 28 the product is 84. Add 84 with 5 the sum is 89.

Question 38.

Answer:

For m = 28
(76 – m) ÷ 2 = (76 – 28) ÷ 2
= 48 ÷ 2
= 24
Explanation:
In the above image we can observe four boxes. Subtract m from 76. Next divide 76 – m by 2.
Place m = 28 in the expression (76 – m) ÷ 2. Subtract 28 from 76 the difference is 48. Divide 48 by 2 the result is 24.

Question 39.

Answer:

For m = 28
(m + 5) ÷ 11 = (28 + 5) ÷ 11
= 33 ÷ 11
= 3
Explanation:
In the above image we can observe four boxes. Add m to 5. Next divide m + 5 by 11.
Place m = 28 in the expression (m + 5) ÷ 11. Add 28 with 5 the sum is 33. Divide 33 by 11 the result is 3.

Question 40.

Answer:

For m = 28
(m ÷ 14) + 1 = (28 ÷ 14) + 1
= 2 + 1
= 3
Explanation:
In the above image we can observe four boxes. Divide m by 14. Next add (m ÷ 14) with 1.
Place m = 28 in the expression (m ÷ 14) + 1. Divide 28 by 14 the result is 2. Add 2 with 1 the sum is 3.

Question 41.

Answer:

For m = 28
4m ÷ 16 = 4 × 28 ÷ 16
= 112 ÷ 16
= 7
Explanation:
In the above image we can observe four boxes. Multiply m with 4 the product is 4m. Next divide 4m by 16 the result is 4m ÷ 16.
Place m = 28 in the expression 4m ÷ 16. Multiply 4 with 28 the product is 112. Divide 112 by 16 the result is 7.

Evaluate each expression for z = 1,256.

Question 42.
41 z – 39
Answer:
For z = 1,256
41 z – 39 = 41 × 1,256 – 39
= 51,496 – 39
= 51,457
Explanation:
Place z = 1,256 in the given expression 41 z – 39. Multiply 41 with 1,256 the product is 51,496. Subtract 39 from 51,496 the difference is 51,457.

Question 43.
\(\frac{18,661-z}{5}\)
Answer:
For z = 1,256
(18,661 – z) ÷  5 = (18,661 – 1,256) ÷  5
= 17,405 ÷  5
= 3,481
Explanation:
Place z = 1,256 in the given expression (18,661 – z) ÷  5. Subtract 1,256 from 18,661 the difference is 17,405. Divide 17,405 by 5 the result is 3,481.

Question 44.
\(\frac{13 z}{8}\) + 7,389
Answer:
For z = 1,256
(13 z ÷ 8) + 7,389 = (13 × 1,256 ÷ 8) + 7,389
= (16,328 ÷ 8) + 7,389
= 2,041 + 7,389
= 9,430
Explanation:
Place z = 1,256 in the given expression (13 z ÷ 8) + 7,389. Multiply 13 with 1,256 the product is 16,328. Divide 16,328 by 8 the result is 2,041. Add 2,041 with 7,389 the sum is 9,430.

Question 45.
\(\frac{9 z-1,476}{42}\)
Answer:
For z = 1,256
(9z – 1,476) ÷ 42 = (9 × 1,256 – 1,476) ÷ 42
= (11,304 – 1,476) ÷ 42
= 9,828 ÷ 42
= 234
Explanation:
Place z = 1,256 in the given expression (9z – 1476) ÷ 42. Multiply 9 with 1,256 the product is 11,304. Subtract 1,476 from 11.304 the difference is 9,828. Divide 9,828 by 42 the result is 234.

Practice the problems of Math in Focus Grade 5 Workbook Answer Key Chapter 6 Practice 2 Base and Height of a Triangle to score better marks in the exam.

Math in Focus Grade 5 Chapter 6 Practice 2 Answer Key Base and Height of a Triangle

Complete to give both the base and the height in each triangle.

Example

Question 1.

Height: _____
Base: ______
Answer:
From the above figure Base of the triangle is UT. Height of the triangle is WV.

Question 2.

Base: ______
Height: _____
Answer:
From the above figure Base of the triangle is BC. Height of the triangle is ZA.

Question 3.

Base: ____
Height: ____
Answer:
From the above figure Base of the triangle is ST. Height of the triangle is VU.

Question 4.

Base: ____
Height: ____
Answer:
From the above figure Base of the triangle is AC. Height of the triangle is DB.

For each triangle, the base is given.
Use a drawing triangle to draw the height. Label the height.

Example

Question 5.

Answer:

Explanation:

Question 6.

Answer:

Question 7.

Answer:

Question 8.

Answer:

Question 9.

Answer:

Question 10.

Answer:

Practice the problems of Math in Focus Grade 4 Workbook Answer Key Chapter 8 Practice 1 Adding Decimals to score better marks in the exam.

Math in Focus Grade 4 Chapter 8 Practice 1 Answer Key Adding Decimals

Fill in the blanks. Write each sum as a decimal.

Example
0.3 + 0.5 = 3 tenths + 5 tenths
= 8 tenths
= 0.8

Question 1.
0.8 + 0.2 = ___ tenths + ___ tenths
= ____ tenths
= ____
Answer:
0.8 + 0.2 = 0.10.

Explanation:
0.8 + 0.2 = 8 tenths + 2 tenths
= 10 tenths
= 1.0.

Question 2.
0.7 + 0.7 = ___ tenths + ___ tenths
= ____ tenths
= ____
Answer:
0.7 + 0.7 = 1.4.

Explanation:
0.7 + 0.7 = 7 tenths + 7 tenths
= 14 tenths
= 1.4.

Question 3.
0.9 + 0.8 = ___ tenths + ___ tenths
= ____ tenths
= ____
Answer:
0.9 + 0.8 = 1.7.

Explanation:
0.9 + 0.8 = 9 tenths + 8 tenths
= 17 tenths
= 1.7.

Fill in the blanks.
Question 4.

Add the tenths.
8 tenths + 6 tenths = ___  tenths
Regroup the tenths.
___ tenths = __ one and __ tenths.

Add the ones.
4 ones + 3 ones + ____ one = ___ ones
So, 4.8 + 3.6 =

Answer:
4.8 + 3.6 = 8.4.

Explanation:

Add the tenths.
8 tenths + 6 tenths = 14 tenths
Regroup the tenths.
14 tenths = 1 one and 4 tenths.

Add the ones.
4 ones + 3 ones + 1 one = 8 ones

Add.
Question 5.

Answer:
8.5 + 2.3 = 10.8.

Explanation:
Step 1:

Add the tenths.
5 tenths + 3 tenths = 8 tenths
Step 2:

Add the ones.
8 ones + 2 ones  = 10 ones.

Question 6.

Answer:
6.6 + 1.6 = 8.2.

Explanation:

Add the tenths.
6 tenths + 6 tenths = 12 tenths.
Regroup the tenths.
12 tenths = 1 one and 2 tenths.

Add the ones.
6 ones + 1 ones + 1 one = 8 ones

Write in vertical form. Then add.
Question 7.
15.7 + 3.8 = ___
Answer:
15.7 + 3.8 = 19.5.

Explanation:

Question 8.
22.9 + 7.2 = ___
Answer:
22.9 + 7.2 = 30.1.

Explanation:

Practice the problems of Math in Focus Grade 1 Workbook Answer Key Chapter 13 Practice 6 Real-World Problems: Addition and Subtraction to score better marks in the exam.

Math in Focus Grade 1 Chapter 13 Practice 6 Answer Key Real-World Problems: Addition and Subtraction

Solve.

Question 1.
Lynn has 12 trophies. Geeta has 5 more trophies than Lynn. How many trophies does Geeta have?
Geeta has ___ trophies.
Answer:
Given,
Lynn has 12 trophies,
Geeta has 5 more trophies than Lynn,
By adding 12 with 5 we get 17,
Therefore, Geeta has 17 trophies.

Question 2.
Rima buys 15 stickers. Susie buys 7 fewer stickers than Rima. How many stickers does Susie buy?
Susie buys ____ stickers.
Answer:
Given,
Rima buys 15 stickers,
Susie buys 7 fewer stickers than Rima,
By subtracting 7 from 15 we get 8,
Therefore, Susie buys 8 stickers.

Solve.

Question 3.
Tara has 14 toy cars. She has 9 more toy cars than Carlos. How many toy cars does Carlos have?
Carlos has ___ toy cars.
Answer:
Given,
Tara has 14 toy cars, she has 9 more toy cars than Carlos,
By subtracting 9 from 14 we get 5,
Therefore, Carlos has 5 toy cars

Question 4.
Aaron makes 6 friendship bracelets. He makes 5 fewer friendship bracelets than Kate. How many friendship bracelets does Kate make?
Kate makes ____ friendship bracelets.
Answer:
Given,
Aaron makes 6 friendship bracelets, He makes fewer friendship bracelets than Kate,
By adding 6 with 5 we get 11,
Therefore, Kate makes 11 friendship bracelets

Solve.

Question 5.
Michelle has 18 snowballs. Miguel has 14- snowballs. How many more snowballs does Michelle have?
Michelle has ____ more snowballs.
Answer:
Given,
Michelle has 18 snowballs,
Miguel has 14 snowballs,
By subtracting 14 from 18 we get 4,
Therefore, Michelle has 4 more snowballs than Miguel.

Question 6.
Rose buys 17 hairclips. Sarah buys 13 more hairclips than Rose. How many hairclips does Sarah buy?
Sarah buys ___ hairclips.
Answer:
Given,
Rose buys 17 hairclips,
Sarah buys 13 more hairclips than Rose,
By adding 17 with 13 we get 30,
Therefore, Sarah buys 30 hairclips.

Question 7.
Tess has 22 walnuts. She has 13 more walnuts than Chris. How many walnuts does Chris have?
Chris has ____ walnuts.
Answer:
Given,
Tess has 22 walnuts, She has 13 more walnuts than Chris,
By subtracting 13 from 22 we get 9,
Therefore, Chris has 9 walnuts.

Question 8.
Ashley makes 36 muffins. Janice makes 17 muffins. How many more muffins does Ashley make?
Ashley makes ___ more muffins.
Answer:
Given,
Ashley makes 36 muffins,
Janice makes 17 muffins,
By subtracting 17 from 36 we get 19,
Therefore, Ashley makes 19 more muffins.

Go through the Math in Focus Grade 1 Workbook Answer Key Chapter 15 Practice 2 Telling Time to the Hour to finish your assignments.

Math in Focus Grade 1 Chapter 15 Practice 2 Answer Key Telling Time to the Hour

Match the clock to the time.

Question 1.

Answer:

Fill in the blanks.
This is what Roberta does on Monday.

Example

Question 2.

Her math class starts at _____
Answer: Her math class starts at nine o’clock (09:00)

Question 3.

She has lunch at _____
Answer: She has lunch at twelve o’clock (12:00)

Question 4.

She plays with her friends at _____
Answer: She plays with her friends a four o’clock (04:00)

Question 5.

Roberta practices piano at ____
Answer: Roberta practices piano at five o’clock (05:00)

Question 6.

She has her dinner at ____
Answer: She has her dinner at six o’clock (06:00)

Question 7.

She does her homework at ____
Answer: She does her homework at seven o’clock (07:00)

Question 8.

She goes to bed at ____
Answer: She goes to bed at eight o’clock (08:00)

Color the clock faces that show the correct time.

Question 9.

Answer:

Question 10.

Answer:

Question 11.

Answer:

Question 12.

Answer:

Question 13.

Answer:

Go through the Math in Focus Grade 3 Workbook Answer Key Chapter 5 Practice 3 Real-World Problems: Addition and Subtraction to finish your assignments.

Math in Focus Grade 3 Chapter 5 Practice 3 Answer Key Real-World Problems: Addition and Subtraction

Solve. Draw bar models to help you.

Example
Jake mixes 620 liters of water and 180 liters of syrup to make lemonade. He adds another 1 45 liters of water to the mixture. How much more water than syrup does he use for the lemonade?

620 + 145 = 785
He uses 765 liters of water.
785 – 180 = 585
He uses 585 liters more water than syrup.

Solve. Draw bar models to help you.
Question 1.
A pet store donates 3,500 pounds of dog food to an animal shelter. A farm donates 2,500 pounds of dog food at first. Later it donates another 2,000 pounds of dog food to the animal shelter. How many more pounds of dog food does the farm donate than the pet store?

Answer:
1000 more pounds of dog food the farm donates than the pet store.

Explanation:
Number of pounds of dog food to an animal shelter a pet store donates = 3,500.
Number of pounds of dog food to an animal shelter a farm donates first = 2,500.
Number of pounds of dog food to an animal shelter a farm donates later = 2,000.
Total number of pounds of dog food to an animal shelter a farm donates = Number of pounds of dog food to an animal shelter a farm donates first + Number of pounds of dog food to an animal shelter a farm donates later
= 2,500 + 2,000
= 4500.
Difference:
Total number of pounds of dog food to an animal shelter a farm donates – Number of pounds of dog food to an animal shelter a pet store donates
= 4500 – 3500
= 1000.

Go through the Math in Focus Grade 3 Workbook Answer Key Cumulative Review Chapters 3 to 5 to finish your assignments.

Math in Focus Grade 3 Cumulative Review Chapters 3 to 5 Answer Key

Concepts and Skills

Add. (Lessons 3. 7, 3.2, and 3.3)

Question 1.

Answer:

Explanation:
6305 + 2512 = 8817.
(5 + 2 = 7 – Ones place
0 + 1 = 1 – tens place
3 + 5 = 8 – hundreds place
6+ 2 = 8- thousand place)

Question 2.

Answer:

Explanation:
3100 + 2800 = 5900.
(0 + 0 = 0 – Ones place
0 + 0 = 0 – tens place
1 + 8 = 9 – hundreds place
3+ 2 = 5 – thousand place)

Subtract. (Lessons 4. 1, 4.2 and 4.3)
Question 3.

Answer:

Explanation:
7754 – 531 = 8223.
(4 – 1 = 3 – Ones place
5 – 3 = 2 – tens place
7 – 5 = 2 – hundreds place
8 – 0 = 8 – thousand place)

Question 4.

Answer:

Explanation:
8615 – 2704 = 5911.
(5 – 4 = 1 – Ones place
1 – 0 = 1 – tens place
6 – 7 =(borrowed from thousands place) 16 – 7 = 9 – hundreds place
8-1 = 7 – 2 = 5 – thousand place)

Fill in the missing numbers.
Question 5.

Answer:

Explanation:
Missing number = 2 + ?? = 6
=> ?? = 6 – 2
=> ?? = 4.

Question 6.

Answer:

Explanation:
Missing number =1 +  6 + ?? = 12
=> 7 + ?? = 12
=> ?? = 12 – 7
=> ?? = 5.

Question 7.

Answer:

Explanation:
Missing number =
(?? + 1)(tens place number borrowed 1 from hundreds place number) – 6 = 8
=> (?? + 1) = 6 + 8
=> ?? + 7 = 8
=> ?? = 8 + 7
=> ?? = 15.

Question 8.

Answer:

Explanation:
Missing number =
(5 – 1) (hundreds place number borrowed from thousands place number) – ?? = 1.
=> (5 – 1) – ?? = 1
=> 4 – 1 = ??
=> 3 = ??.

Complete. (Lesson 4.4)
Question 9.
Gabriel and Sue are at an amusement park.
a. Gabriel throws two darts at a target board. The difference between the two numbers is 75. Circle the two numbers.

Answer:
The two numbers whose difference  is 75 are 150 and 75.

Explanation:
Differences:
1. 150 – 95 = 55.     150 – 60 = 90.    150 – 75 = 75.    150 – 80 = 70.
2. 125 – 95 = 30.     125 – 60 = 65.    125 – 75 = 50.   125 – 80 = 45.
3. 250 – 95 = 175.    250 – 60 = 190.    250 – 75 = 175.   250 – 80 = 80.
4. 100 – 95 =  5.      100 – 60 = 40.      100 – 75 = 25.      100 – 80 = 20.

b. Sue throws two darts at another target board. The difference between the two numbers is 2,700. Circle the two numbers.

Answer:
The two numbers whose difference  is 75 are 3000 and 300.

Explanation:
Differences:
1. 5000 – 520 = 4480.     5000 – 630 = 4370.    5000 – 300 = 4700.    5000 – 410 = 4590.
2. 2000 – 520 = 1480.     2000 – 630 = 1370.    2000- 300 = 1700.   2000 – 410 = 1590.
3. 4000 – 520 = 3480.    4000 – 630 = 3370.    4000 – 300 = 3700.   4000 – 410 = 3590.
4. 3000 – 520 =  2480.      3000 – 630 = 2370.      3000 – 300 = 2700.      3000 – 410 = 2590.

Problem Solving
Solve. Draw bar models to help you. (Lesson 5.1)
Question 10.
5,476 people ride Bus D in March.
1,496 fewer people ride Bus E in the same month.
a. How many people ride Bus E in March?
Answer:
Number of people ride Bus E in the same month = 3980.

Explanation:
Number of people ride Bus D in March = 5476.
Number of fewer people ride Bus E in the same month = 1496.
=> Number of people ride Bus E in the same month = Number of people ride Bus D in March – Number of fewer people ride Bus E in the same month
=> 5476 – 1496
=> 3980.

b. How many people ride both buses in March?
Answer:
Total number of people ride both buses in March = 9456.

Explanation:
Number of people ride Bus D in March = 5476.
Number of people ride Bus E in the same month = 3980.
Total number of people ride both buses in March = Number of people ride Bus D in March + Number of people ride Bus E in the same month
= 5476 + 3980
= 9456.

Question 11.
A supermarket has 1,213 apples. 368 are green apples.
a. How many of the apples are red?
Answer:
Number of red apples = 845.

Explanation:
Total number of apples super market has = 1213.
Number of green apples = 368.
Number of red apples = Total number of apples super market has – Number of green apples
= 1213 – 368
= 845.

b. How many more red apples than green apples does the supermarket have?
Answer:
477 more red apples than green apples the supermarket has.

Explanation:
Number of red apples = 845.
Number of green apples = 368.
Difference:
Number of red apples – Number of green apples
= 845 – 368
= 477.

Question 12.
2,500 people visit the Children’s Museum on Monday. On Tuesday, there were 532 more people at the museum than on Monday. What is the total number of visitors for both days?
Answer:
Total number of people visit the Children’s Museum on both days = 5532.

Explanation:
Number of people visit the Children’s Museum on Monday = 2500.
On Tuesday, there were 532 more people at the museum than on Monday.
=>Number of people visit the Children’s Museum on Tuesday = Number of people visit the Children’s Museum on Monday + 532
=> 2500 + 532
=> 3032.
Total number of people visit the Children’s Museum on both days = Number of people visit the Children’s Museum on Monday + Number of people visit the Children’s Museum on Tuesday
= 2500 + 3032
= 5532.

Question 13.
Michael has 754 songs in his audio device. He has 98 more songs than Peter. How many songs do they have in all?
Answer:
Total number of songs they both have = 1410.

Explanation:
Number of songs in his audio device Michael has = 754.
He has 98 more songs than Peter.
=> Number of songs Peter has = Number of songs in his audio device Michael has – 98
=> 754 – 98
=>  656.
Total number of songs they both have = Number of songs in his audio device Michael has + Number of songs Peter has
= 754 + 656
= 1410.

This handy Math in Focus Grade 1 Workbook Answer Key Chapter 4 Practice 5 Making Fact Families detailed solutions for the textbook questions.

Math in Focus Grade 1 Chapter 4 Practice 5 Answer Key Making Fact Families

Write a fact family for each picture.

Example

Question 1.

Answer:

Explanation:
An addition fact is the sum of two specific addends that will always equal the same result.
A subtraction fact family is a group of related math facts that use the same three numbers. Subtraction fact families also include addition, which is the inverse or opposite operation of subtraction.

Question 2.

Answer:

Explanation:
An addition fact is the sum of two specific addends that will always equal the same result.
A subtraction fact family is a group of related math facts that use the same three numbers. Subtraction fact families also include addition, which is the inverse or opposite operation of subtraction.

Solve.

Use related facts to help you.

Question 3.
Simone has some tomatoes. She throws away 5 rotten tomatoes. She has 4 tomatoes left. How many tomatoes did she have at first?
___ – 5 = 4
5 + 4 = __ is the related addition fact.
She had _______ tomatoes at first.
Answer:
9  – 5 = 4
5 + 4 = 9 is the related addition fact.
She had 9 tomatoes at first.
Explanation:
An addition fact is the sum of two specific addends that will always equal the same result.
A subtraction fact family is a group of related math facts that use the same three numbers. Subtraction fact families also include addition, which is the inverse or opposite operation of subtraction.

Question 4.
Marcus has 6 magnets. Susan gives him some magnets. Marcus now has 9 magnets. How many magnets did Susan give Marcus?
6 + __ = 9
9 – 6 = ___ is the related subtraction fact.
Susan gave Marcus ___ magnets.
Answer:
6 + 3 = 9
9 – 6 = 3 is the related subtraction fact.
Susan gave Marcus 3 magnets.
Explanation:
An addition fact is the sum of two specific addends that will always equal the same result.
A subtraction fact family is a group of related math facts that use the same three numbers. Subtraction fact families also include addition, which is the inverse or opposite operation of subtraction.

Find the missing number.
Use related facts to help you.

Question 5.
+ 5 = 10
Answer:
5
Explanation:
5 + 5 = 10
10 – 5 = 5
Used the subtraction fact to find the additional fact

Question 6.
2 + = 7
Answer:
5
Explanation:
7 – 2 = 5
Used the subtraction fact to find the additional fact

Question 7.
– 8 = 2
Answer:
10
Explanation:
2 + 8 = 10
Used the additional  fact to find the subtraction fact

Question 8.
9 – = 3
Answer:
6
Explanation:
9 – 3 = 6
Used the subtraction fact to find the subtraction fact

Go through the Math in Focus Grade 1 Workbook Answer Key Cumulative Review for Chapters 16 and 17 to finish your assignments.

Math in Focus Grade 1 Cumulative Review for Chapters 16 and 17 Answer Key

Concepts and Skills

Count in tens and ones. Fill in the blanks.

Question 1.

Answer:
10,20,30,40,50,60,70,80,81,82,83,84.

Explanation:
In the above image, we can see that there are 8 tens and 4 ones which is 84. And also can be written as 10,20,30,40,50,60,70,80,81,82,83,84.

Write the number in words.

Question 2.
57 ___________
Answer:
57 in words is Fifty seven.

Question 3.
93 _____________
Answer:
93 in words is Ninety-three.

Write the number.

Question 4.
forty-eight ____________
Answer:
Forty-eight in number is 48.

Question 5.
sixty-nine _____________
Answer:
Sixty-nine in number is 69.

Fill in the blanks.

Question 6.
4 and 90 make _____________
Answer:
94

Explanation:
4 and 90 make 90+4 = 94.

Question 7.
____________ and 5 make 75.
Answer:
70.

Explanation:
70 and 5 make 75.

Estimate. Then count.

Question 8.

Estimate _____________
Count ____________
Answer:
Estimate: 50
Count: 45.

Explanation:
In the above image, we can see that there are 5 groups with 10 items. So the estimated count is 5×10 which is 50 and the actual count is 45.

Fill in the blanks.

Question 9.
___________ = ____________ tens __________ ones
Answer:
57 = 5 tens 7 ones.

Explanation:
In the above image, we can see that there are 5 tens and 7 ones which is 57.

Count the base-ten blocks. Fill in the blanks.

Question 10.

___________ = ____________ tens __________ ones
___________ + ___________ = ___________
Answer:
86 = 80+6.
80+6 = 86.

Explanation:
In the above image, we can see that there are 8 tens and 6 ones which is 86.
80+6 = 86.

Fill in the place-value charts.

Question 11.

Answer:
27 = 2 tens and 7 ones.

Explanation:
Here, place value is a value represented by a digit in a number on the basis of its position in the number. So the place value of 27 is 2 in the tens place and 7 in ones place.

Question 12.

Answer:
83 = 8 tens and 3 ones.

Explanation:
Here, place value is a value represented by a digit in a number on the basis of its position in the number. So the place value of 83 is 8 in the tens place and 3 in ones place.

Find the missing numbers.

Question 13.
2 more than 54 is ____________.
Answer:
56.

Explanation:
2 more than 54 is 54+2 which is 56.

Question 14.
3 less than 65 is ____________.
Answer:
62.

Explanation:
3 less than 65 is 65-3 which is 62.

Question 15.
____________ is 2 more than 55.
Answer:
57.

Explanation:
57 is 2 more than 55.

Question 16.
____________ is 2 less than 63.
Answer:
61.

Explanation:
61 is 2 less than 63.

Question 17.

Answer:
The missing digits are 80,85,95.

Explanation:
The missing digits are 80,85,95.

Compare. Fill in the blanks.

Question 18.
Set ____________ is ____________ more than Set ____________.
Answer:
Set A is 7 more than Set B.

Question 19.
Set ____________ has more.
Answer:
Set A has more.

Color the greater number.

Question 20.

Answer:
80 is greater.

Explanation:
In the above numbers, 80 is greater than 71.

Question 21.

Answer:
54 is greater.

Explanation:
In the above numbers, 54 is greater than 45.

Color the number that is less.

Question 22.

Answer:
71 is less.

Explanation:
In the above numbers, 71 is less than 80.

Question 23.

Answer:
89 is less.

Explanation:
In the above numbers, 89 is less than 91.

Fill in the blanks.

Question 24.

The least number is ____________.
The greatest number is ___________.
Answer:
The least number is 15.
The greatest number is 41.

Explanation:
In the above numbers, the least number is 15 and the greatest number is 41.

Order the numbers from least to greatest.

Question 25.

Answer:
50,67,76.

Explanation:
The numbers from least to greatest is 50,67,76.

Complete each number pattern.

Question 26.
73, 72, 71, __________, _________, 68, ___________
Answer:
73,72,71,70,69,68,67.

Explanation:
The above pattern is 73,72,71,70,69,68,67.

Question 27.
50, 60, __________, 80, __________, __________
Answer:
50,60,70,80,90,100.

Explanation:
The above pattern is 50,60,70,80,90,100.

Add by counting on.

Question 28.
82 + 7 = __________
Answer:
82,83,84,85,86,87,88,89.

Explanation:
The sum of 82 and 7 is 82,83,84,85,86,87,88,89.

Question 29.
50 + 40 = __________
Answer:
50+40 = 90.

Explanation:
The sum of 50+40 is 90.

Add.

Question 30.

Answer:
76+7= 83.

Explanation:
The addition of 76 and 7 is 83.

Question 31.

Answer:
26+38 = 64.

Explanation:
The addition of 26 and 38 is 64.

Fill in the missing numbers.

Question 32.
8 + 33 = _________

Answer:
8+33 = 41.

Explanation:
The addition of 8 and 33 is 41.

Question 33.
64 + 19 = ________

Answer:
64+19 = 83.

Explanation:
The addition of 64 and 19 is 83.

Count back to subtract.

Question 34.
97 – 6 = ___________
Answer:
97-6 = 91.

Explanation:
Here, we will count back to find the subtraction of 97 and 6. Which is 97,96,95,94,93,92,91.

Question 35.
50 – 30 = ____________
Answer:
50-30 = 20.

Explanation:
Here, we will count back to find the subtraction of 50-30 which is 20.

Subtract.

Question 36.

Answer:
63-7 = 56.

Explanation:
The subtraction of 63 and 7 is 56.

Question 37.

Answer:
90-6 = 84.

Explanation:
The subtraction of 90 – 6 is 84.

Fill in the missing numbers.

Question 38.
45 – 6 = _________

Answer:

Explanation:
The subtraction of 45-6 is 39.

Question 39.
73 – 58 = __________

Answer:
73-58 = 15.

Explanation:
The subtraction of 73-58 is 15.

Problem Solving

Solve.

Question 40.
A number is less than 30 but greater than 10. It has 6 in the ones place. What are the possible numbers?
Answer:
16 and 26.

Explanation:
Given that a number is less than 30 but greater than 10 and it has 6 in the ones place. So the possible numbers is 16 and 26.

Question 41.
A number is 65 when you subtract 6 then add 7. What is the number? Circle the number.

Answer:
64.

Explanation:
Given that a number is 65 when you subtract 6 then add 7. So the possible number is 64. As when we subtract 64-6 we will get 58 and then by adding 7 we will get 65.

Question 42.
Write an addition sentence to make 100. One of the numbers must have 3 in the ones place.
___________ + ___________ = 100

Answer:

Fill in the blank. Choose a number in the box.

Question 43.

62 – _________ = 26
Answer:
62-36 = 26.

Explanation:
To find the missing number we will subtract 62-26 which is 36.

Go through the Math in Focus Grade 1 Workbook Answer Key Chapter 17 Practice 3 Subtraction Without Regrouping to finish your assignments.

Math in Focus Grade 1 Chapter 17 Practice 3 Answer Key Subtraction Without Regrouping

Count back to subtract.

Example

Question 1.
95 – 3 = ____________

Answer:
95 – 3 = 92

Explanation:
By subtracting smaller number from bigger number, we get the difference.
95 – 3 = 92
Count back to subtract or 3 numbers.
92 , 93 , 94 , 95 are the numbers

Question 2.
88 – 5 = _____________

Answer:
88 – 5 = 83

Explanation:
By subtracting smaller number from bigger number, we get the difference.
88 – 5 = 83
Count back to subtract or 5 numbers.
83, 84, 85, 86, 87, 88 are the numbers.

Question 3.
79 – 6 = _____________

Answer:
79 – 6 = 73

Explanation:
By subtracting smaller number from bigger number, we get the difference.
79 – 6 = 73
Count back to subtract or 6 numbers.
73, 74, 75, 76, 77, 78, 79 are the numbers.

Subtract.

Question 4.

Answer: 45

Explanation:
Subtracting without regrouping can be done mentally, or in your head,
because the numbers can be easily deducted since the top number is always larger than the bottom number.
So, 58 – 3 = 55

Question 5.

Answer: 65

Explanation:
Subtracting without regrouping can be done mentally, or in your head,
because the numbers can be easily deducted since the top number is always larger than the bottom number.
So, 69 – 4 = 65

Question 6.

Answer: 71

Explanation:
Subtracting without regrouping can be done mentally, or in your head,
because the numbers can be easily deducted since the top number is always larger than the bottom number.
So, 74 – 3 = 71

Question 7.

Answer: 62

Explanation:
Subtracting without regrouping can be done mentally, or in your head,
because the numbers can be easily deducted since the top number is always larger than the bottom number.
So, 67 – 5 = 62

Question 8.

Answer: 93

Explanation:
Subtracting without regrouping can be done mentally, or in your head,
because the numbers can be easily deducted since the top number is always larger than the bottom number.
So, 96 – 3 = 93

Question 9.

Answer: 81

Explanation:
Subtracting without regrouping can be done mentally, or in your head,
because the numbers can be easily deducted since the top number is always larger than the bottom number.
So, 88 – 7 = 81

Fill in the missing numbers.

Question 10.
79 – 6 = ___________

Answer: 73

Explanation:
You need to place the subtrahend below the minuend so that the ones-place numbers fall in the same column.
Now you have to subtract each column separately and in order, starting with the ones-place column.
Then place the answer of the subtractions below each one of the columns.
So, 79 – 6 = 73

Question 11.
99 – 5 = _____________

Answer: 94

Explanation:
You need to place the subtrahend below the minuend so that the ones-place numbers fall in the same column.
Now you have to subtract each column separately and in order, starting with the ones-place column.
Then place the answer of the subtractions below each one of the columns.
So, 99 – 5 = 94

Subtract.

Question 12.

Answer: 75

Explanation:
You need to place the subtrahend below the minuend so that the ones-place numbers fall in the same column.
Now you have to subtract each column separately and in order, starting with the ones-place column, tens and so on…
The last step is to place the answer of the subtractions below each one of the columns, always put it in order.
So, 95 – 20 = 75

Question 13.

Answer: 19

Explanation:
You need to place the subtrahend below the minuend so that the ones-place numbers fall in the same column.
Now you have to subtract each column separately and in order, starting with the ones-place column, tens and so on…
The last step is to place the answer of the subtractions below each one of the columns, always put it in order.
So, 49 – 30 = 19

Question 14.

Answer: 50

Explanation:
You need to place the subtrahend below the minuend so that the ones-place numbers fall in the same column.
Now you have to subtract each column separately and in order, starting with the ones-place column, tens and so on…
The last step is to place the answer of the subtractions below each one of the columns, always put it in order.
So, 70 – 20 = 50

Question 15.

Answer: 20

Explanation:
You need to place the subtrahend below the minuend so that the ones-place numbers fall in the same column.
Now you have to subtract each column separately and in order, starting with the ones-place column, tens and so on…
The last step is to place the answer of the subtractions below each one of the columns, always put it in order.
So, 40 – 20 = 20

Question 16.

Answer: 36

Explanation:
You need to place the subtrahend below the minuend so that the ones-place numbers fall in the same column.
Now you have to subtract each column separately and in order, starting with the ones-place column, tens and so on…
The last step is to place the answer of the subtractions below each one of the columns, always put it in order.
So, 68 – 32 = 36

Question 17.

Answer: 43

Explanation:
You need to place the subtrahend below the minuend so that the ones-place numbers fall in the same column.
Now you have to subtract each column separately and in order, starting with the ones-place column, tens and so on…
The last step is to place the answer of the subtractions below each one of the columns, always put it in order.
So, 97 – 54 = 43

Fill in the missing numbers.

Question 18.
56 – 23 = _________

Answer: 33

Explanation:
Place the subtrahend below the minuend so that the ones-place numbers fall in the same column.
Now subtract each column separately and in order, starting with the ones-place column, tens and so on…
Then place the answer of the subtractions below each one of the columns, always put it in order.
So, 56 – 23 = 33

Question 19.
86 – 42 = ___________

Answer: 44

Explanation:
Place the subtrahend below the minuend so that the ones-place numbers fall in the same column.
Now subtract each column separately and in order, starting with the ones-place column, tens and so on…
Then place the answer of the subtractions below each one of the columns, always put it in order.
So, 86 – 42 = 44

Match

Question 20.


Answer:

Explanation:
Place the subtrahend below the minuend so that the ones-place numbers fall in the same column.
Now subtract each column separately and in order, starting with the ones-place column, tens and so on…
Then place the answer of the subtractions below each one of the columns, always put it in order.
83 – 10 = 73
77 – 21 = 56
90 – 10 = 80
84 – 32 = 52
94 – 34 = 60
68 – 20 = 48