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Practice the problems of Math in Focus Grade 3 Workbook Answer Key Chapter 8 Division to score better marks in the exam.

Math in Focus Grade 3 Chapter 8 Answer Key Division

Math Journal

Write True or False.

If the statement is false, rewrite the sentence to make it true.

Question 1.
When I divide one number by another, the answer is called a remainder. Any number left is called a quotient.
Answer: No
Explanation:
the answer is called a quotient. Any number left is called a remainder.

Question 2.
When an odd number is divided by 2, there is no remainder.
Answer: No
Explanation:
When an odd number is divided by 2, there is will be a remainder.

Question 3.
When an even number is divided by 2, there is a remainder.
Answer: Yes
Explanation:
The statement is true

Question 4.
I always divide the ones first, then the tens for the following:

Answer:
no
Explanation:

Put On Your Thinking Cap!

Challenging Practice

Solve.

Question 1.
Find the sum of all the odd numbers between 60 and 66.
Answer:
Between 60 to 66
the odd numbers are 61,63,65
Explanation:
61 +63 + 65 = 189
the sum of all the odd numbers between 60 and 66 = 189

Question 2.
Which of these division statements are true? Color them.

Answer:

Explanation:
Colored the division statement which is true

Put on Your Thinking cap!

Problem Solving

Solve.

Mrs. Jones has some coloring books to give away as gifts. She has fewer than 60 but more than 40 coloring books. She will have 2 coloring books left over if she divides them equally among 10 children. She will also have 2 coloring books left over if she divides them equally among 8 children. How many coloring books does she have?
Use the table to help you.

Check (✓) or cross (✗) the last column to show whether the answer is correct. The first two rows are done for you.

Mrs. Jones has ___ coloring books.
Explanation:
Mrs. Jones has 0 coloring books.

Practice the problems of Math in Focus Grade 3 Workbook Answer Key Cumulative Review Chapters 8 and 9 to score better marks in the exam.

Math in Focus Grade 3 Cumulative Review Chapters 8 and 9 Answer Key

Concepts and Skills

Complete. Use the digits 1, 3, and 8. (Lesson 8.3)

Question 1.
Write two 3-digit even numbers.

Answer:

Explanation:
a whole number that is able to be divided by two into two equal whole numbers
The numbers 0, 2, 4, 6, and 8 are even numbers.

Question 2.
Write four 3-digit odd numbers.

Answer:

Explanation:
An odd number is a number that cannot be divided into two equal groups.
Even numbers end in 2, 4, 6, 8 and 0 regardless of how many digits they have
Odd numbers end in 1, 3, 5, 7, 9.

Fill in the blanks. Use mental math. (Lesson 8.1)

Question 3.
6 ÷ 2 = ___
60 ÷ 2 = ___ tens ÷ 2
= ___ tens
= ____
600 ÷ 2 = hundreds ÷ 2
= ____ hundreds
= _____
Answer:
6 ÷ 2 = 3
60 ÷ 2 = 30 ; 3 tens ÷ 2
= 1 tens and 5 ones
= 15
600 ÷ 2 = 3 hundreds ÷ 2
= 1 hundreds 5 tens and 0 ones
= 150

Divide.

Question 4.

Answer:

Explanation:
96 ÷  3 = 32
The quotient is 32
the remainder is 0

Question 5.

Answer:

Explanation:
93 ÷  3 = 31
The quotient is 31
the remainder is 0

Question 6.

Answer:

Explanation:
56 ÷  5 = 11
The quotient is 11
the remainder is  1

Question 7.

Answer:

Explanation:
73 ÷ 2 = 36
The quotient is 36
the remainder is 1

Question 8.

Answer:

Explanation:
47 ÷  4 = 11
The quotient is 11
the remainder is 3

Question 9.

Answer:

Explanation:
98 ÷  5 = 59
The quotient is 59
the remainder is 3

Divide. Then match the division facts that have the same quotients. (Lessons 8.1 and 8.2)

Question 10.

Answer:

Explanation:
The value of quotients are matched
35÷  5 = 7
27÷  3 = 9
120 ÷  3 = 40
75 ÷  5 = 15
64 ÷  2 = 32
160 ÷  4 = 40
56 ÷  8 = 7
36 ÷  4 = 9
96 ÷  3 = 32
15 ÷  1 = 15

Problem Solving

Solve. Draw bar models to help you.

Question 11.
Roland has 125 trading cards. Ian has three times as many trading cards as Roland. How many trading cards does Ian have?
Answer:
375 cards
Explanation:
Roland has 125 trading cards.
Ian has three times as many trading cards as Roland.
125 x 3 = 375
375 trading cards that Ian have

Question 12.
Mr. Hansen gives out 250 pencils to 5 classes. Each class receives an equal number of pencils. How many pencils does each class receive?
Answer:
50 pencils
Explanation:
Mr. Hansen gives out 250 pencils to 5 classes.
Each class receives an equal number of pencils.
250 ÷   5 = 50
50 pencils that each class receive

Question 13.
Mike is three times as tall as Pamela. Pamela is 2 feet tall.

a. How tall is Mike?
Answer:
2 x 3 = 6 feet
Explanation:
Mike is three times as tall as Pamela.
Pamela is 2 feet tall.
2 x3 = 6 feet

b. How many feet taller is Mike than Pamela?
Answer:
6 – 2 = 4
Explanation:
Mike is three times as tall as Pamela.
Pamela is 2 feet tall.
2 x 3 = 6 feet
6 – 2 = 4

Question 14.
Mrs. Herra buys 3 boxes of oranges. She also buys 6 boxes of apples. Each box contains 65 pieces of fruit.

a. How many boxes of fruit does Mrs. Herra buy?
Answer:
3 x 6 = 18 boxes
Explanation:
Mrs. Herra buys 3 boxes of oranges.
She also buys 6 boxes of apples.
3 x 6 = 18

b. How many pieces of fruit does Mrs. Herra buy?
Answer:
585 pieces of fruit that Mrs. Herra buy
Explanation:
Mrs. Herra buys 3 boxes of oranges.
oranges 3 x 65 = 195
She also buys 6 boxes of apples.
apples 6 x 65 = 390
390 + 195 = 585 fruits

Question 15.
Sha un has 96 ounces of lemonade. He pours all the lemonade equally into 6 jugs. He then pours out one of the jugs of lemonade to fill 2 glasses. How many ounces of lemonade does each glass hold?
Answer:
8 ounces of lemonade
Explanation:
Sha un has 96 ounces of lemonade.
He pours all the lemonade equally into 6 jugs.
96 ÷ 6 = 16
He then pours out one of the jugs of lemonade to fill 2 glasses.
16 ÷ 2 = 8
8 ounces of lemonade that each glass hold

Question 16.
A watch costs $56. A camera costs double the amount of the watch. How much do the two items cost in all?
Answer:
$112 items cost
Explanation:
A watch costs $56.
A camera costs double the amount of the watch.
56 x 2 = 112
112 that the two items cost in all

Question 17.
Ben has 4 cartons of crayons. Each carton contains 1 20 crayons. He puts them equally into 6 cartons. How many crayons are in each carton?
Answer:
80 crayons
Explanation:
Ben has 4 cartons of crayons.
Each carton contains 1 20 crayons.
4 x 120 = 480
He puts them equally into 6 cartons.
480 ÷  80
80 crayons are in each carton

Question 18.
Natalie has 275 centimeters of ribbon to make headbands. She makes 4 headbands and has 15 centimeters of ribbon left. What length of ribbon does she use for each headband?
Answer:
65 centimeters
Explanation:
Natalie has 275 centimeters of ribbon to make headbands.
She makes 4 headbands and has 15 centimeters of ribbon left.
275 – 15 = 260
260 ÷  65
65 is the length of ribbon that she use for each headband

Go through the Math in Focus Grade 3 Workbook Answer Key Chapter 1 Practice 1 Counting to finish your assignments.

Math in Focus Grade 3 Chapter 1 Practice 1 Answer Key Counting

Write each number shown.

Example

Question 1.

Answer:

Explanation:
Each cube shows thousand and each square shows hundred
each line shows tens and dot shows the ones

Question 2.

Answer:

Explanation:
Each cube shows thousand and each square shows hundred
each line shows tens and dot shows the ones

Write each number in word form.

Question 3.

Answer:

Explanation:
The given number written in the expanded form

Question 4.

Answer:

Explanation:
The given number written in the expanded form

Question 5.

Answer:

Explanation:
The given number written in the expanded form

Question 6.

Answer:

Explanation:
The given number written in the expanded form

Question 7.

Answer:

Explanation:
The given number written in the expanded form

Question 8.

Answer:

Explanation:
The given number written in the expanded form

Write each number in the box.

Question 9.
nine thousand
Answer:

Explanation:
The given expanded form converted in to the standard form

Question 10.
one thousand, four hundred
Answer:

Explanation:
The given expanded form converted in to the standard form

Question 11.
six thousand, eight hundred thirty-five
Answer:

Explanation:
The given expanded form converted in to the standard form

Question 12.
three thousand, two hundred sixty
Answer:

Explanation:
The given expanded form converted in to the standard form

Question 13.
three thousand, two hundred six
Answer:

Explanation:
The given expanded form converted in to the standard form

Question 14.
five thousand, sixty-eight
Answer:

Explanation:
The given expanded form converted in to the standard form

Question 15.
two thousand, seventy
Answer:

Explanation:
The given expanded form converted in to the standard form

Question 16.
five thousand, nine
Answer:

Explanation:
The given expanded form converted in to the standard form

Match the numbers to the letters.

Question 17.
Who ate the banana?

Answer:

Explanation:
According to the above answers the monkey ate the banana

Count on by ones, tens, hundreds, or thousands.
Fill in the missing numbers.

Question 18.
2,065 2,066 ___ 2,068 _____ 2,070
Answer:
2,065 2,066 2,067 2,068 2,069 2,070
Explanation:
In the above pattern the number increase in once place by 1

Question 19.
____ _____ 7,543 7,553 7,563 ____
Answer:
7,523 7,533 7,543 7,553 7,563 7,573
Explanation:
In the above pattern the number increase in tens place by 10

Question 20.
3,307 3,407 3,507 ___ ____ ____
Answer:
3,307 3,407 3,507 3,607 3,707 3,807
Explanation:
In the above pattern the number increase in hundreds place by 100

Question 21.
3,654 4,654 ___ ____ 7,654 8,654
Answer:
3,654 4,654 5,654 6,654 7,654 8,654
Explanation:
In the above pattern the number increase in thousands place by 1000

Count by tens. Color the rocks the frog jumps on.

Question 22.

Answer:

Explanation:
The frog started jumping from 1076
The pattern the tens place increased by 10
1,076 1,086 1,096 1,106 1,116 1,126 1,136 1,146 1,156

Go through the Math in Focus Grade 3 Workbook Answer Key Chapter 1 Practice 2 Place value to finish your assignments.

Math in Focus Grade 3 Chapter 1 Practice 2 Answer Key Place value

Read the numbers on each train. Fill in each blank.

Example

Question 1.

Answer:

Explanation:
The given standard form is converted to expanded form and word form

Question 2.

Answer:

Explanation:
The given standard form is converted to expanded form and word form

Write the value of each digit in the box.

Example

Explanation:
Each digit has a fixed position called its place.
Each digit has a value depending on its place called the place value of the digit.

Question 3.

Answer:

Explanation:
Written the place value of every digit
Each digit has a fixed position called its place.
Each digit has a value depending on its place called the place value of the digit.

Question 4.

Answer:

Explanation:
Written the place value of every digit
Each digit has a fixed position called its place.
Each digit has a value depending on its place called the place value of the digit.

Question 5.

Answer:

Explanation:
Written the place value of every digit
Each digit has a fixed position called its place.
Each digit has a value depending on its place called the place value of the digit.

Question 6.

Answer:

Explanation:
Written the place value of every digit
Each digit has a fixed position called its place.
Each digit has a value depending on its place called the place value of the digit.

Question 7.

Answer:

Explanation:
Written the place value of every digit
Each digit has a fixed position called its place.
Each digit has a value depending on its place called the place value of the digit.

Question 8.

Answer:

Explanation:
Written the place value of every digit
Each digit has a fixed position called its place.
Each digit has a value depending on its place called the place value of the digit.

Question 9.

Answer:

Explanation:
Written the place value of every digit
Each digit has a fixed position called its place.
Each digit has a value depending on its place called the place value of the digit.

Fill in each blank. Use the place-value chart to help you.

Question 10.
In 2,548 the digit 4 is in the ___ place.
The value of the digit is ___.
Answer:
In 2,548 the digit 4 is in the tens place.
The value of the digit is 40.
Explanation:
Each digit has a fixed position called its place.
Each digit has a value depending on its place called the place value of the digit.

Question 11.
In 2,548 the digit ___ is in the ones place.
The value of the digit is ___
Answer:
In 2,548 the digit 8 is in the ones place.
The value of the digit is 8
Explanation:
Each digit has a fixed position called its place.
Each digit has a value depending on its place called the place value of the digit.

Question 12.
In 2,548 the value of the digit 2 is ___
It is in the __ place.
Answer:
In 2,548 the value of the digit 2 is 2000
It is in the thousands place.
Explanation:
Each digit has a fixed position called its place.
Each digit has a value depending on its place called the place value of the digit.

Question 13.
In 2,548 the value of the digit ___ is 500.
It is in the ___ place.
Answer:
In 2,548 the value of the digit 5 is 500.
It is in the hundreds place.
Explanation:
Each digit has a fixed position called its place.
Each digit has a value depending on its place called the place value of the digit.

Write each number in expanded form, standard form, and word form.

Example

Question 14.

Answer:

Explanation:
The given tree is converted to expanded form and word form and standard form

Write each number in expanded form, standard form, and word form.

Question 15.

Answer:

Explanation:
The given tree is converted to expanded form and word form and standard form

Question 16.

Answer:

Explanation:
The given tree is converted to expanded form and word form and standard form

Question 17.

Answer:

Explanation:
The given tree is converted to expanded form and word form and standard form

Question 18.

Answer:

Explanation:
The given tree is converted to expanded form and word form and standard form

Write each number shown.

Example

Question 19.

2,000 + 30 + 4 = ___
2,000 + 30, and 4 make ___
Answer:
2,000 + 30 + 4 = 2034
2,000 + 30, and 4 make 2034
Explanation:
Each cube value is thousand and square value is 100
line value is 10 and dot value is 1

Question 20.

3,000 + 20 = ___
3,000 + 20 make ___
Answer:
3,000 + 20 = 3020
3,000 + 20 make 3020
Explanation:
Each cube value is thousand and square value is 100
line value is 10 and dot value is 1

Complete.

Question 21.
7,456 = 7,000 + __ + 50 + 6
Answer:
7,456 = 7,000 + 400  + 50 + 6
Explanation:
Written the digits place of 4 is hundred
and value of its place is 400

Question 22.
6,391 = 6,000 + 300 + 90 + ___
Answer:
6,391 = 6,000 + 300 + 90 + 1
Explanation:
Written the digits place of 1 is ones
and value of its place is 1

Question 23.
6,193 = 6,000 + 100 + ___ + 3
Answer:
6,193 = 6,000 + 100 + 90 + 3
Explanation:
Written the digits place of 9 is tens
and value of its place is 90

Question 24.
6,107 = 6,000 + 100 + ___
Answer:
6,107 = 6,000 + 100 + 7
Explanation:
Written the digits place of 7 is ones
and value of its place is 7

Question 25.
8,904 = __ + 900 + 4
Answer:
8,904 = 8000 + 900 + 4
Explanation:
Written the digits place of 8 is Thousand
and value of its place is 8000

Question 26.
5,068 = ___ + 60 + 8
Answer:
5,068 = 5000 + 60 + 8
Explanation:
Written the digits place of 5 is thousand
and value of its place is 5000

Question 27.
9,074 = 9,000 + ___ + 4
Answer:
9,074 = 9,000 + 70 + 4
Explanation:
Written the digits place of 7 is tens
and value of its place is 70

Question 28.
7,005 = 7,000 + ___
Answer:
7,005 = 7,000 + 5
Explanation:
Written the digits place of 5 is ones
and value of its place is 5

Go through the Math in Focus Grade 4 Workbook Answer Key Chapter 5 Practice 4 Outcomes to finish your assignments.

Math in Focus Grade 4 Chapter 5 Practice 4 Answer Key Outcomes

Decide which are possible outcomes. Write yes or no.

A coin is tossed once.

Question 1.
The coin lands on heads. ___
Answer:
The coin lands on heads. Yes.

Question 2.
The coin lands on tails. ___
Answer:
The coin lands on tails. No.

Question 3.
The coin lands on both heads and tails. ___
Answer:
The coin lands on both heads and tails. No.

Complete.

Question 4.
There are ___ possible outcomes when you toss a coin.
Answer:
There are 2 possible outcomes when you toss a coin.

Complete. Write more likely, less likely, certain, impossible, or equally likely.

Example
Look at the spinner. Suppose it is spun once.
It is more likely that the spinner will land on red or on green.
It is equally likely that the spinner will land on green or on purple.
It is that impossible the spinner will land on yellow.
It is less likely that the spinner will land on green.
It is certain that the spinner will land on red, green, or purple.

A spinner is divided into four equal parts. The parts are red, blue, yellow, and green. The spinner is spun once.

Question 5.
It is ___ that the spinner will land on red.
Answer:
It is likely that the spinner will land on red.

Question 6.
It is ____ that the spinner will land on red, blue, yellow, or green.
Answer:
It is certain that the spinner will land on red, blue, yellow, or green.

Question 7.
It is ___ that the spinner will land on blue or on green.
Answer:
It is equally likely that the spinner will land on blue or on green.

Question 8.
It is ___ that the spinner will land on purple.
Answer:
It is impossible that the spinner will land on purple.

Complete each sentence.

A number cube numbered 1 to 6 is tossed once.

Question 9.
There are ___ possible outcomes.
Answer:
There are \(\frac{1}{6}\) possible outcomes.

Question 10.
The number cube lands with an even number on top. There are ____ possible outcomes.
Answer:
There are 3 possible outcomes.

Explanation:
The possible outcomes are \(\frac{1}{6}\), \(\frac{2}{6}\),\(\frac{3}{6}\),\(\frac{4}{6}\),\(\frac{5}{6}\),\(\frac{6}{6}\). So the 3 even possible outcomes are \(\frac{2}{6}\), \(\frac{4}{6}\), \(\frac{6}{6}\).

Question 11.
The number cube lands with a number less than 3 on top. There are ___ possible outcomes.
Answer:
There are 2 possible outcomes.

Explanation:
The possible outcomes are \(\frac{1}{6}\), \(\frac{2}{6}\),\(\frac{3}{6}\),\(\frac{4}{6}\),\(\frac{5}{6}\),\(\frac{6}{6}\). So the number less than 3 on top is \(\frac{1}{6}\), \(\frac{2}{6}\).

Study the data in the table.

Three bags each contain eight colored marbles.

Complete. Write more likely, less likely, certain, impossible, or equally likely to describe each outcome.

Question 12.
A green marble is drawn from Bag B. ____
Answer:
A green marble is drawn from Bag B. More likely.

Explanation:
Here, green marbles are more likely to draw because there are more green marbles than red marbles.

Question 13.
A red marble is drawn from Bag B. ____
Answer:
A red marble is drawn from Bag B. Less likely.

Explanation:
Here, red marbles are less likely to draw because there are less red marbles than green marbles.

Question 14.
A green marble is drawn from Bag C. ___
Answer:
A green marble is drawn from Bag C. More likely.

Explanation:
Here, green marbles are more likely to draw because there are more green marbles than red marbles.

Question 15.
A red marble is drawn from Bag C. ___
Answer:
A red marble is drawn from Bag C. Impossible.

Explanation:
Here, red marbles are 0. So the red marbles are impossible to pick.

Question 16.
A red or green marble is drawn from Bag B. ____
Answer:
A red or green marble is drawn from Bag B. Certain.

Explanation:
Here, a red or green marble is drawn from Bag B certainly.

Go through the Math in Focus Grade 4 Workbook Answer Key Chapter 5 Practice 3 Stem-and-Leaf Plots to finish your assignments.

Math in Focus Grade 4 Chapter 5 Practice 3 Answer Key Stem-and-Leaf Plots

Complete. Use the data in the stem-and-leal plot.

Example
The stem-and-leaf plot shows 9 students’ grades on a math test.

In a stem-and-leaf plot, the leaves are the ones digits and the stems are the digits to the left of the ones digit.

The stem 3 has 4 leaves.
The median, the middle score, is 32
The mode, the most frequent score, is 32
The range of the scores is 30
The outlier, the number farthest from the others, is 15

Complete. Use the data in the stem-and-leal plot.

The stem-and-leaf plot shows the heights of 1 2 children in centimeters.

Question 1.
The stem 12 has ___ leaves.
Answer:
2 leaves.

Explanation:
The stem 12 has 2 leaves.

Question 2.
The height of the shortest child is ____ centimeters.
Answer:
96 centimeters.

Explanation:
The height of the shortest child is 96 centimeters.

Question 3.
10 | 4 stands for ___ centimeters, and 1 1 | 4 stands for ___ centimeters.
Answer:
104 cm and 114 cm.

Explanation:
10 | 4 stands for 104 centimeters, and 1 1 | 4 stands for 114 centimeters.

Question 4.
The median height of the children is ____ centimeters.
Answer:
The median height of the children is 106 centimeters.

Explanation:
The data is 96,93,104,106,106,106,110,113,113,115,124,129. To find the median we will arrange the numbers in order from least to greatest. The middle number or the mean of the two middle numbers is the median. The data set from least to greatest is 93,96,104,106,106,106,110,113,113,115,124,129. So the median will be
= \(\frac{106+110}{2}\)
= \(\frac{216}{2}\)
= 106.
So the median height of the children is 106 centimeters.

Question 5.
The mode of the set of data is ___ centimeters.
Answer:
The mode of the set of data is 106 centimeters.

Explanation:
To find the mode we will pick the number that appears most often is the mode and there can be more than one mode. So the mode is 106 cm.

Question 6.
The range of the heights is ____ centimeters.
Answer:
The range of the heights is 36 centimeters.

Explanation:
To find the range, we will find the difference between the greatest and the least number. So the range will be
= 129-93
= 36.

Make a stem-and-leaf plot to show the data.

The table shows the points scored by a school team in eight basketball games one season.

Complete. Use the data in the stem-and-leaf plot.

Question 7.
The stem 7 has ___ leaves.
Answer:
The stem 7 has 2 leaves.

Question 8.
The stem ___ has the greatest number of leaves.
Answer:
The stem 6 has the greatest number of leaves.

Question 9.
The median number of points scored is ____
Answer:
The median number of points scored is 64.

Explanation
Given the data is 50,66,60,60,62,68,72,76. Now we will arrange the numbers in order from least to greatest. The data will be 50,60,60,62,66,68,72,76. So the median will be
= \(\frac{62+66}{2}\)
= \(\frac{128}{2}\)
= 64.

Question 10.
The mode number of points scored is ___
Answer:
The mode number of points scored is 60.

Explanation:
The number that appears most often is the mode. So the mode will be 60.

Question 11.
The range of the set of data is ___
Answer:
The range of the set of data is 26.

Explanation:
To find the range we will find the difference between the greatest and the least number. So the range will be 76-50 which is 26.

Make a stem-and-leaf plot to show the data.

Seven children weighed their dogs at a pet-care center.
15 lb, 12 lb, 17 lb, 15 lb, 21 lb, 17 lb, 15 lb

Complete. Use the data in the stem-and-leaf plot.

Question 12.
The weight of the heaviest dog is ___ pounds.
Answer:
The weight of the heaviest dog is 21 pounds.

Question 13.
The median weight of the dogs is ___ pounds.
Answer:
The median weight of the dogs is 15 pounds.

Explanation:
Given the data is 15 lb,12 lb,17 lb,15 lb,21 lb,17 lb,15 lb. Now we will arrange the numbers in order from least to greatest. The data will be 12 lb, 15 lb, 15 lb, 15 lb, 17 lb, 17 lb, 21 lb. So the median will be
= 15 lb.

Question 14.
The mode of the set of data is ___ pounds.
Answer:
The mode of the set of data is 15 pounds.

Explanation:
The number that appears most often is the mode. So the mode will be 15 pounds.

Question 15.
The range of the weight of the dogs is ___ pounds.
Answer:
The range of the weight of the dogs is 9 pounds.

Explanation:
To find the range we will find the difference between the greatest and the least number. So the range will be 21-12 which is 9.

Question 16.
___ of the dogs weigh less than 1 8 pounds.
Answer:
6 of the dogs weigh less than 18 pounds.

Question 17.
An eighth dog is weighed at the pet-care center. Its weight is 32 pounds. How would this change the stem-and-leaf plot? How would this change the median and mode?
Answer:

Explanation:
For 32 in the stem, we will place 3 and in the leaves, we will place 2. And the data will be 12 lb, 15 lb, 15 lb, 15 lb, 17 lb, 17 lb, 21 lb, 32 lb. So the median will be
= \(\frac{15+17}{2}\)
= \(\frac{32}{2}\)
= 16

Practice the problems of Math in Focus Grade 4 Workbook Answer Key Chapter 6 Practice 1 Adding Fractions to score better marks in the exam.

Math in Focus Grade 4 Chapter 6 Practice 1 Answer Key Adding Fractions

Find the equivalent fraction. Complete the model. Then add.

Example

Question 1.

Answer:

Explanation:
\(\frac{2}{3}\) + \(\frac{2}{9}\)
= (6 + 2) ÷ 9
= 8 ÷ 9 or + \(\frac{8}{9}\)

Add. Write each answer in simplest form
Question 2.

Answer:

Explanation:
\(\frac{3}{5}\) + \(\frac{3}{10}\)
= (6 + 3) ÷ 10
= 9 ÷ 10 or \(\frac{9}{10}\)

Question 3.

Answer:

Explanation:
\(\frac{5}{12}\) + \(\frac{1}{3}\)
= (5 + 4) ÷ 12
= 9 ÷ 12
= 3 ÷ 4 or \(\frac{3}{4}\)

Question 4.
Find the sum of \(\frac{1}{6}\) and \(\frac{1}{12}\).
Answer:
\(\frac{1}{6}\) + \(\frac{1}{12}\)  = \(\frac{1}{4}\)

Explanation:
Sum:
\(\frac{1}{6}\) + \(\frac{1}{12}\)
= (2 + 1) ÷ 12
= 3 ÷ 12
= \(\frac{1}{4}\)

Question 5.
Add \(\frac{1}{4}\) to the answer in Exercise 4.
Answer:
\(\frac{1}{4}\) + \(\frac{1}{4}\)  = 1 ÷ 2 or \(\frac{1}{2}\)

Explanation:
Sum:
\(\frac{1}{4}\) + \(\frac{1}{4}\)
= (1 + 1) ÷ 4
= 2 ÷ 4
= 1 ÷ 2 or \(\frac{1}{2}\)

Question 6.
What is the sum of \(\frac{1}{8}\), \(\frac{1}{4}\) and \(\frac{3}{8}\)?
Answer:
\(\frac{1}{8}\) + \(\frac{1}{4}\) + \(\frac{3}{8}\) = 3 ÷ 4 or \(\frac{3}{4}\)

Explanation:
Sum:
\(\frac{1}{8}\) + \(\frac{1}{4}\) + \(\frac{3}{8}\)
= (1 + 2) ÷ 8 + \(\frac{3}{8}\)
= \(\frac{3}{8}\) + \(\frac{3}{8}\)
= (3 + 3) ÷ 8
= 6 ÷ 8
= 3 ÷ 4 or \(\frac{3}{4}\)

Question 7.
Add \(\frac{1}{3}\), \(\frac{3}{12}\) and \(\frac{5}{12}\)
Answer:
\(\frac{1}{3}\) + \(\frac{3}{12}\) + \(\frac{5}{12}\) = 1.

Explanation:
Sum:
\(\frac{1}{3}\) + \(\frac{3}{12}\) + \(\frac{5}{12}\)
= (4 + 3) ÷ 12 + \(\frac{5}{12}\)
= \(\frac{7}{12}\) + \(\frac{5}{12}\)
= (7 + 5) ÷ 12
= 12 ÷ 12
= 1.

Practice the problems of Math in Focus Grade 4 Workbook Answer Key Chapter 7 Practice 4 Comparing Decimals to score better marks in the exam.

Math in Focus Grade 4 Chapter 7 Practice 4 Answer Key Comparing Decimals

Compare the two decimals in each table. Then fill in the blanks.

Example

Question 1.

Answer:

Question 2.

Answer:

Question 3.

Answer:

Compare. Write < or >.

Question 4.
1.6 1.8
Answer:

Question 5.
0.65 0.55
Answer:

Question 6.
0.11 0.07
Answer:

Question 7.
2.12 2.21
Answer:

Fill in the blanks with greater than, less than, or equal to.

Question 8.
3.7 is _________ 0.37.
Answer:

Question 9.
0.15 is ____________ 0.51.
Answer:

Question 10.
0.20 is ________________ 2.05.
Answer:

Question 11.
2.3 is _________________ 2.30.
Answer:

Circle the greatest decimal and underline the least.

Question 12.
0.5 0.53 0.03
Answer:

Question 13.
8.7 8.07 8.71
Answer:

Question 14.
1.03 1.3 0.13
Answer:

Question 15.
2.35 2.05 3.25
Answer:

Write the decimals in order from least to greatest.

Question 16.
333 3.03 3.30 _____ ____ _____
Answer:

Question 17.
5.51 5.05 5.15 ______ ___ ____
Answer:

Question 18.
1.04 0.41 4.10 ________ ________ _____
Answer:

Question 19.
6.32 3.26 2.63 _____ ____ ___
Answer:

This handy Math in Focus Grade 3 Workbook Answer Key Chapter 16 Practice 6 Measuring Temperature provides detailed solutions for the textbook questions.

Math in Focus Grade 3 Chapter 16 Practice 6 Answer Key Measuring Temperature

Fill in the blanks with these words.

Question 1.


Answer:
1. Room temperature: The temperature maintained thermostatically that encompasses at the usual and customary working environment of 20°-25° (68°-77 °F).
2. The temperature feels like 32°F to 50°F then it is cold.
3. The temperature feels like 50° F to 68°F then it is cool.
4. The temperature feels like 104° F to  122° then it is very hot.
5. The simple answer to this question is that the boiling point of water is100 °C or 212 °F at 1 atmosphere of pressure (sea level). However, the value is not a constant. The boiling point of water depends on the atmospheric pressure, which changes according to elevation.

Write each temperature using °F. Then write hot, warm, cool, or cold to describe the temperature.

Example

Question 2.

Answer: 71°F; warm.
Explanation: If the temperature feels 68°-77 °F then it comes under warm or it is at room temperature.

Question 3.

Answer: 125°F;  Very hot.
Explanation:
-A temperature higher than 89°C or 192°F is considered very hot.

Question 4.

Answer: 94°F; Hot.
Explanation:
-A temperature higher than 75°C or 167°F is considered hot.

Question 5.

Answer:85°F; warm
Explanation:
– serving to maintain or preserve heat especially to a satisfactory degree a warm sweater.
– If the temperature feels 68°-77 °F then it comes under warm or it is at room temperature.

Question 6.

Answer: 101°F; hot.
Explanation:
-A temperature higher than 75°C or 167°F is considered hot.

Question 7.

Answer:21°F; very cold.
– The definition of cold is: “Of or at a low or relatively low temperature, especially when compared with the human body.” If you want to get technical, the temperature at which water freezes is 32 degrees Fahrenheit. The freezing temperature is also 0 degrees Celsius and 273.15 Kelvin.
– The temperature feels like below 32 degrees Fahrenheit then it comes under very cold.

Circle the temperature that matches the activity.

Question 8.

18°F
70°F
Answer:  70°F; warm.

Explanation:
– In the picture, he was reading and sitting in a very relaxed position. Then definitely it is room temperature. If the temperature feels like 68°F to 86°F then it is warm where the human body can control the temperature and feel free.

Question 9.

98°F
102°F
Answer:

Explanation:
– In the picture, a person is sick and the temperature is reading with thermometer. So, the temperature is above 100 degrees then it is hot. So I prefer 102 degrees Fahrenheit.

Circle the picture that matches the temperature.

Question 10.

Answer: It is freezing.

The freezing point of water is zero degrees Centigrade or 32 degrees Fahrenheit. Rather, we can say that zero degrees are the point at which water is melting at the same rate it is freezing. Hence, creating a balance. Actually, at zero-degree water molecules are moving very slowly, and the formation of solid begins i.e. Ice.

Question 11.

Answer:100 degrees Fahrenheit.

Explanation:
-A temperature higher than 75°C or 167°F is considered hot.

Shade the temperature on each thermometer.

Example
65°F

Question 12.
50°F

Answer: 50°F; cool.

• Cool: Any temperature between 8° and 15° (46° and 59 °F)

Question 13.
32°F

Answer: 32°F, very cold.

– The definition of cold is: “Of or at a low or relatively low temperature, especially when compared with the human body.” If you want to get technical, the temperature at which water freezes is 32 degrees Fahrenheit. The freezing temperature is also 0 degrees Celsius and 273.15 Kelvin.
– The temperature feels like below 32 degrees Fahrenheit then it comes under very cold.

Question 14.
212°F

Answer: 212°F; boiling point

The boiling point of water is 100 degrees Celsius or 212 degrees Fahrenheit at 1 atmosphere of pressure, or sea level. The boiling point of water depends on the atmospheric pressure, which changes according to elevation.

Question 15.
0°F

Answer:0°F; very cold

– The definition of cold is: “Of or at a low or relatively low temperature, especially when compared with the human body.” If you want to get technical, the temperature at which water freezes is 32 degrees Fahrenheit. The freezing temperature is also 0 degrees Celsius and 273.15 Kelvin.
– The temperature feels like below 32 degrees Fahrenheit then it comes under very cold.

Fill in the blanks.

Question 16.
Water boils at __________°F.
Answer: 212 °F.
The boiling point of water is 100 degrees Celsius or 212 degrees Fahrenheit at 1 atmosphere of pressure, or sea level. The boiling point of water depends on the atmospheric pressure, which changes according to elevation.

Question 17.
Water freezes at ___________°F.
Answer:32 °F
The optimal temperature in cold conditions is 0°C 0r 32 °F. However, if the chamber is left open for a while or hot food is added, the equilibrium will be disturbed and the cubes will harden more slowly.

Practice the problems of Math in Focus Grade 2 Workbook Answer Key Chapter 12 Practice 3 Adding and Subtracting Like Fractions to score better marks in the exam.

Math in Focus Grade 2 Chapter 12 Practice 3 Answer Key Adding and Subtracting Like Fractions

Write the fraction for the shaded parts.

Question 1.

Answer: 1 / 3
Explanation:
Given,
Picture has 1 shaded part in 3.

Question 2.

Answer: 3 / 4
Explanation:
Given,
Picture has 3 shaded parts in 4.

Question 3.

Answer: 1 / 2
Explanation:
Given,
Picture has 1 shaded part in 2.

Shade the parts to show the sum.

Example

Question 4.

Answer:

Given,
Picture has 3 shaded parts in 4

Question 5.

Answer:
Given,
Picture has 2 shaded parts in 3.
So, the fraction is 2/3

Shade the parts to show the sum.

Question 6.

Answer:
Given,
Picture has 3 shaded parts in 4.
So, the fraction is 3/4

Question 7.

Answer: Given,
Picture has 3 shaded parts in 4.
So, the fraction is 3/4

Add. Use models to help you.

Example

Question 8.
\(\frac{1}{4}\) + \(\frac{2}{4}\) = ___________

Answer:

Add. Use models to help you.

Question 9.
\(\frac{1}{2}\) + \(\frac{1}{2}\) = ____________

Answer: 1 / 2 + 1 / 2 = 2 / 2

Question 10.
\(\frac{1}{3}\) + ___________ = 1

Answer:

Shade the parts to show the difference.

Example

Question 11.

Answer:

Question 12.

Answer:

Question 13.

Answer:

Question 14.

Answer:

Subtract. Use models to help you.

Example

Question 15.
\(\frac{3}{4}\) – \(\frac{1}{4}\) = ____________

Answer: 3 / 4 – 1 / 4 = 2 / 4

Subtract. Use models to help you.

Question 16.
\(\frac{2}{3}\) – \(\frac{1}{3}\) = ____________

Answer: 2 / 3 – 1 / 3 = 1 / 3

Question 17.
1 – _____________ = \(\frac{1}{4}\)

Answer:

Question 18.
\(\frac{3}{4}\) – \(\frac{2}{4}\) = _____________

Answer: