Math in Focus Grade 3 Chapter 8 Practice 2 Answer Key Quotient and Remainder

Practice the problems of Math in Focus Grade 3 Workbook Answer Key Chapter 8 Practice 2 Quotient and Remainder to score better marks in the exam.

Math in Focus Grade 3 Chapter 8 Practice 2 Answer Key Quotient and Remainder

Fill in the blanks. Use repeated subtraction to help you.

Question 1.
24 ones ÷ 3 ______ R ______
Quotient = ___________ ones
Remainder = __________ ones
Answer:
24 ones ÷ 3 = 8 R 0
Quotient = 8 ones
Remainder = 0 ones
Explanation:
24 – 3 = 21
21 – 3 = 18
18 – 3 = 15
15 – 3 = 12
12 – 3 = 9
9 – 3 = 3
3 – 3 = 0

Question 2.
22ones ÷ 4 _______ R _______
Quotient ____________ ones
Remainder __________ ones
Answer:
22ones ÷ 4 = 5 R 2
Quotient 4 ones
Remainder 2 ones
Explanation:
22 – 4 = 18
18 – 4 = 14
14 – 4 = 10
10 – 4 = 6
6 – 4 = 2

Find the quotient. Use related multiplication facts to help you.

Example
27 ÷ 3 = 9

Question 3.
20 ÷ 4 = ___
Answer:
20 ÷ 4 = 4
Explanation:
Used the multiplication fact
4 x 5 = 20
Quotient = 4

Question 4.
24 ÷ 4 = ____
Answer:
24 ÷ 4 = 6
Explanation:
Used the multiplication fact
4 x 6 = 24
Quotient = 6

Question 5.
40 ÷ 5 = ___
Answer:
40 ÷ 5 = 8
Explanation:
Used the multiplication fact
5 x 8 = 40
Quotient = 8

Question 6.
32 ÷ 4 = ___
Answer:
32 ÷ 4 = 8
Explanation:
Used the multiplication fact
4 x 8 = 32
Quotient = 8

Question 7.
24 ÷ 3 = ___
Answer:
24 ÷ 3 = 8
Explanation:
Used the multiplication fact
3 x 8 = 24
Quotient = 8

Question 8.
50 ÷ 5 = ___
Answer:
50 ÷ 5 = 10
Explanation:
Used the multiplication fact
5 x 10 = 50
Quotient = 10

Question 9.
18 ÷ 2 = ___
Answer:
18 ÷ 2 = 9
Explanation:
Used the multiplication fact
2 x 9 = 18
Quotient = 9

Divide. Use repeated subtraction or related multiplication facts to help you. The remainder is the number of eyes each character has. Draw the correct number of eyes for each character.

Example
Math in Focus Grade 3 Chapter 8 Practice 2 Answer Key Quotient and Remainder 1

Question 10.
Math in Focus Grade 3 Chapter 8 Practice 2 Answer Key Quotient and Remainder 2
Quotient = ____ ones
Remainder = ____ ones
Answer:

Quotient = 8 ones
Remainder = 3 ones
Explanation:
4 x 8 = 32
35 – 32 = 3
so, the character has 3 eyes

Question 11.
Math in Focus Grade 3 Chapter 8 Practice 2 Answer Key Quotient and Remainder 3
Quotient = ____ ones
Remainder = ____ ones
Answer:

Quotient = 7 ones
Remainder = 1 ones
Explanation:
5 x 7 = 35
36 – 35 = 1
so, the character has 1 eye

Question 12.
Math in Focus Grade 3 Chapter 8 Practice 2 Answer Key Quotient and Remainder 4
Quotient = ____ ones
Remainder = ____ ones
Answer:

Quotient = ____ ones
Remainder = ____ ones
Explanation:
5 x 9 = 45
49 – 45 = 4
so, the character has 4 eyes

Math in Focus Grade 4 Chapter 9 Practice 1 Answer Key Understanding and Measuring Angles

Practice the problems of Math in Focus Grade 4 Workbook Answer Key Chapter 9 Practice 1 Understanding and Measuring Angles to score better marks in the exam.

Math in Focus Grade 4 Chapter 9 Practice 1 Answer Key Understanding and Measuring Angles

Name the angles in two ways.

Example
Math in Focus Grade 4 Chapter 9 Practice 1 Answer Key Understanding and Measuring Angles 1

Question 1.
Math in Focus Grade 4 Chapter 9 Practice 1 Answer Key Understanding and Measuring Angles 2
Answer:
∠STU or ∠UTS.

Explanation:
The name of the angle T is ∠STU or ∠UTS.

Question 2.
Math in Focus Grade 4 Chapter 9 Practice 1 Answer Key Understanding and Measuring Angles 3
Answer:
∠XYZ or ∠ZYX.

Explanation:
The name of the angle Y is ∠XYZ or ∠ZYX.

Question 3.
Math in Focus Grade 4 Chapter 9 Practice 1 Answer Key Understanding and Measuring Angles 4
Angle at A: ∠___ or ∠___
Angle at B: ∠___ or ∠___
Angle at C: ∠___ or ∠___
Answer:
∠BAC or ∠CAB,
∠ABC or ∠CBA,
∠BCA or ∠ACB.

Explanation:
The name of angle A is ∠BAC or ∠CAB.
The name of angle B is ∠ABC or ∠CBA.
The name of angle A is ∠BCA or ∠ACB.

Name the marked angles in two ways.

Math in Focus Grade 4 Chapter 9 Practice 1 Answer Key Understanding and Measuring Angles 5

Example
∠p: ∠AED or ∠DEA

Question 4.
∠q: ∠____ or ∠_____
Answer:
∠q: ∠EDC or ∠CDE

Explanation:
The marked angle ∠q is ∠EDC or ∠CDE.

Question 5.
∠r: ∠____ or ∠_____
Answer:
∠r: ∠BCD or ∠DCB.

Explanation:
The marked angle ∠r is ∠BCD or ∠DCB.

Question 6.
∠s: ∠____ or ∠_____
Answer:
∠s: ∠BAE or ∠EAB.

Explanation:
The marked angle ∠s is ∠BAE or ∠EAB.

Name the marked angles in two ways.

Math in Focus Grade 4 Chapter 9 Practice 1 Answer Key Understanding and Measuring Angles 6

Question 7.
∠PRQ: ∠___ or ∠___
Answer:
∠PRQ: ∠b or ∠QRP.

Explanation:
The name of the marked ∠PRQ is ∠b or ∠QRP.

Question 8.
∠QPR: ∠___ or ∠___
Answer:
∠QPR: ∠a or ∠RPQ.

Explanation:
The name of the marked ∠QPR is ∠a or ∠RPQ.

Decide which scale you would use to measure each angle.
Fill in the blanks with inner scale or outer scale.

Examples

Math in Focus Grade 4 Chapter 9 Practice 1 Answer Key Understanding and Measuring Angles 7

Question 9.
Math in Focus Grade 4 Chapter 9 Practice 1 Answer Key Understanding and Measuring Angles 8
Answer:
Outer scale.

Explanation:
Here, the angle opens to the left of the protractor, so the shown image is an outer scale.

Question 10.
Math in Focus Grade 4 Chapter 9 Practice 1 Answer Key Understanding and Measuring Angles 9
Answer:
Outer scale.

Explanation:
Here, the angle opens to the left of the protractor, so the shown image is an outer scale.

Question 11.
Math in Focus Grade 4 Chapter 9 Practice 1 Answer Key Understanding and Measuring Angles 10
Answer:
Inner scale.

Explanation:
Here, the angle opens to the right of the protractor, so the shown image is an inner scale.

Question 12.
Math in Focus Grade 4 Chapter 9 Practice 1 Answer Key Understanding and Measuring Angles 11
Answer:
Inner scale.

Explanation:
Here, the angle opens to the left of the protractor, so the shown image is an inner scale.

Peter is walking along a path. Measure the marked angles along this path.

Question 17.

 

Math in Focus Grade 4 Chapter 9 Practice 1 Answer Key Understanding and Measuring Angles 12
Answer:
Math-in-Focus-Grade-4-Chapter-9-Practice-1-Answer-Key-Understanding-and-Measuring-Angles-12-1

Explanation:
Here, the measure of ∠FGH = 80°,
the measure of ∠EFG = 75°,
the measure of ∠CDE = 80°,
the measure of ∠GHI = 20°,
the measure of ∠DEF = 70°

Math in Focus Grade 1 Chapter 13 Answer Key Addition and Subtraction to 40

Practice the problems of Math in Focus Grade 1 Workbook Answer Key Chapter 13 Addition and Subtraction to 40 to score better marks in the exam.

Math in Focus Grade 1 Chapter 13 Answer Key Addition and Subtraction to 40

Put on Your Thinking Cap!

Challenging Practice

Fill in the circles with numbers.

Question 1.
Math in Focus Grade 1 Chapter 13 Answer Key Addition and Subtraction to 40 1
Answer:
Math in Focus Grade 1 Chapter 13 Answer Key Addition and Subtraction to 40_1

Question 2.
Math in Focus Grade 1 Chapter 13 Answer Key Addition and Subtraction to 40 2
Answer:
Math in Focus Grade 1 Chapter 13 Answer Key Addition and Subtraction to 40_2

Question 3.
Luis places a ball into the number machine below. What happens to the number on the ball? Fill in the missing numbers.
Math in Focus Grade 1 Chapter 13 Answer Key Addition and Subtraction to 40 3
Answer:
Given,
Number 9 by adding 20 to 9 we get 29,
By subtracting 2 from 29 we get 27.

Question 4.
Luis places another ball into the number machine below. What happens to the number on the ball?
Fill in the missing numbers.
Math in Focus Grade 1 Chapter 13 Answer Key Addition and Subtraction to 40 4
Answer:
Given,
Number 15 by adding 5 to 15 we get 20,
By subtracting 13 from 20 we get 7.

Put on Your Thinking Cap!

Problem Solving

Dawn, Jamal and Nate go to an amusement park.

Math in Focus Grade 1 Chapter 13 Answer Key Addition and Subtraction to 40 5
They buy tokens. Then they go for rides. Which rides do they take?

Circle the correct rides.

Question 1.
Dawn uses 15 tokens to go on two different rides. Roller Coaster Bumper Car Flying Elephant Merry-Go-Round
Answer:
Given,
Dawn uses 15 tokens to gon on two different rides,
Roller coaster ride is for 10 tokens,
Merry-Go-Round ride is 5 tokens,
By adding 10 with 5 we get 15,

Question 2.
Jamal uses 12 tokens to go on two different rides. Roller Coaster Bumper Car Flying Elephant Merry-Go-Round
Answer:
Given,
Jamal uses 12 tokens to go on two different rides,
Bumper car ride is for 7 tokens,
Merry-Go-Round ride is for 5 tokens,
By adding 7 with 5 we get 12.

Question 3.
Nate uses 21 tokens to go on three different rides. Roller Coaster Bumper Car Flying Elephant Merry-Go-Round
Answer:
Nate uses 21 tokens to go on three different rides,
Roller coaster ride is for 10 tokens,
Flying Elephant ride is for 6 tokens,
Merry-Go-Round ride is for 5 tokens,
By adding 10 with 6 we get 16 and then adding 16 with 5 we get 21.

Chapter Review/Test
Vocabulary
Choose the correct word.

Question 1.
You _________ from the greater number when you subtract.
Answer: You subtract smaller number from the greater number when you subtract.

Question 2.
You can _______ 13 ones into 1 ten 3 ones.
Answer: You can split 13 ones into 1 ten 3 ones.

Question 3.
You can add two numbers using the _______ method.
Answer: You can add two numbers using the sum method.

Question 4.
A _____________ can be used to add numbers.
Answer: A addition can be used to add numbers.

Concepts and Skills

Add or subtract.

Question 5.
32 + 7 = ______
Answer: 39

Question 6.
18 + 19 = ______
Answer: 37

Question 7.
27 – 3 = ______
Answer: 24

Question 8.
36 – 18 = ______
Answer: 18

Question 9.
4 + 8 + 6 = ______
Answer: 18

Question 10.
9 + 8 + 5 = ______
Answer: 22

Problem Solving

Solve.

Question 11.
Nicole blows up 30 balloons for a class party. Michael blows up 4 fewer balloons than Nicole. How many balloons does Michael blow up?
Michael blows up ___ balloons.
Answer:
Given,
Nicole blows up 30 balloons for a class party,
Michael blows up 4 fewer balloons than Nicole,
By subtracting 4 from 30 we get 26,
Therefore, Michael blows up 26 balloons.

Question 12.
Ryan has 23 bookmarks. He has 5 fewer bookmarks than Ivy. How many bookmarks does Ivy have?
Ivy has ___ bookmarks.
Answer:
Ryan has 23 bookmarks, He has 5 fewer bookmarks than Ivy,
By adding 5 from 23 we get 28,
Therefore, Ivy has 28 bookmarks.

Math in Focus Grade 4 Chapter 10 Practice 1 Answer Key Drawing Perpendicular Line Segments

This handy Math in Focus Grade 4 Workbook Answer Key Chapter 10 Practice 1 Drawing Perpendicular Line Segments detailed solutions for the textbook questions.

Math in Focus Grade 4 Chapter 10 Practice 1 Answer Key Drawing Perpendicular Line Segments

Use a protractor to draw perpendicular line segments.

Example

Question 1.
Draw a line segment perpendicular to \(\overline{P Q}\)
Math in Focus Grade 4 Chapter 10 Practice 1 Answer Key Drawing Perpendicular Line Segments 1
Answer:
Math-in-Focus-Grade-4-Chapter-10-Practice-1-Answer-Key-Drawing-Perpendicular-Line-Segments-1
Drawn a line segment perpendicular to PQ.

Question 2.
Draw a line segment perpendicular to \(\overline{T U}\) through point X
Math in Focus Grade 4 Chapter 10 Practice 1 Answer Key Drawing Perpendicular Line Segments 2
Answer:
Math-in-Focus-Grade-4-Chapter-10-Practice-1-Answer-Key-Drawing-Perpendicular-Line-Segments-2
Drawn a line segment perpendicular to TU through point X.

Use a drawing triangle to draw perpendicular line segments.

Example
Math in Focus Grade 4 Chapter 10 Practice 1 Answer Key Drawing Perpendicular Line Segments 3

Question 3.
Draw a line segment perpendicular to \(\overline{E F}\).
Math in Focus Grade 4 Chapter 10 Practice 1 Answer Key Drawing Perpendicular Line Segments 4
Answer:
Math-in-Focus-Grade-4-Chapter-10-Practice-1-Answer-Key-Drawing-Perpendicular-Line-Segments-4
Draw a line segment perpendicular to EF.

Question 4.
Draw a line segment perpendicular to \(\overline{C D}\).
Math in Focus Grade 4 Chapter 10 Practice 1 Answer Key Drawing Perpendicular Line Segments 5
Answer:
Math-in-Focus-Grade-4-Chapter-10-Practice-1-Answer-Key-Drawing-Perpendicular-Line-Segments-5
Drawn a line segment perpendicular to CD.

Question 5.
Draw a line segment perpendicular to \(\overline{V W}\) at point P.
Then, draw another line segment perpendicular to \(\overline{V W}\) through point Q.
Math in Focus Grade 4 Chapter 10 Practice 1 Answer Key Drawing Perpendicular Line Segments 6
Answer:
Math-in-Focus-Grade-4-Chapter-10-Practice-1-Answer-Key-Drawing-Perpendicular-Line-Segments-6
Drawn a line segment perpendicular to VW at point P.
Then, drawn another line segment perpendicular to VW through point Q.

Math in Focus Grade 4 Chapter 11 Answer Key Squares and Rectangles

This handy Math in Focus Grade 4 Workbook Answer Key Chapter 11 Squares and Rectangles detailed solutions for the textbook questions.

Math in Focus Grade 4 Chapter 11 Answer Key Squares and Rectangles

Math Journal

Figure ABCD is a rectangle. Complete each statement. Use the words in the box.

Math in Focus Grade 4 Chapter 11 Answer Key Squares and Rectangles 1
Question 1.
A rectangle has ___________ ___________
Answer:
A rectangle has four sides.

Question 2.
Its _______________ sides are ____________
Answer:
Its opposite sides are parallel.

Question 3.
Its ____________ sides are ____________
Answer:
Its opposite sides are of equal length.

Question 4.
It has ____________ ____________ angles.
Answer:
It has four right angles.

Put On Your Thinking Cap!

Challenging Practice

Question 1.
The figure is made up of two squares, one with 10-inch sides and the other with 6-inch sides. Find QR.
Math in Focus Grade 4 Chapter 11 Answer Key Squares and Rectangles 2
QR = ___________ in.
Answer:
Math-in-Focus-Grade-4-Chapter-11-Answer-Key-Squares-and-Rectangles-2
In the above image we can observe QS = 10 inches and RS = 6 inches
QR = QS – RS
= 10 – 6
= 4 inches
QR = 4 inches

Question 2.
The figure is made up of three identical squares with 3-inch sides. Find the total length of \(\overline{B C}\) and \(\overline{F G}\) .
Math in Focus Grade 4 Chapter 11 Answer Key Squares and Rectangles 3
BC + FG = ____________ in.
Answer:
Math-in-Focus-Grade-4-Chapter-11-Answer-Key-Squares-and-Rectangles-3
BC + FG = AH – CF
= 6 –  3
= 3
BC + FG = 3 inches

Put On Your Thinking Cap!

Problem Solving

Question 1.
Look at the figure. What is the least number of squares that must be added to make a rectangle?
Math in Focus Grade 4 Chapter 11 Answer Key Squares and Rectangles 4
Answer:
Math-in-Focus-Grade-4-Chapter-11-Answer-Key-Squares-and-Rectangles-4
To make rectangle we need to add 5 squares to the above figure.

Question 2.
Draw line segments to divide the figure into three rectangles in three ways.
Math in Focus Grade 4 Chapter 11 Answer Key Squares and Rectangles 5
Answer:
Math-in-Focus-Grade-4-Chapter-11-Answer-Key-Squares-and-Rectangles-5

Question 3.
Cut out the shaded rectangles and squares. Arrange them to fit inside rectangle A without overlapping. Then attach them with tape.
Math in Focus Grade 4 Chapter 11 Answer Key Squares and Rectangles 6
Math in Focus Grade 4 Chapter 11 Answer Key Squares and Rectangles 7
Answer:
Math-in-Focus-Grade-4-Chapter-11-Answer-Key-Squares-and-Rectangles-6
Math-in-Focus-Grade-4-Chapter-11-Answer-Key-Squares-and-Rectangles-7

Math in Focus Grade 3 Chapter 11 Practice 2 Answer Key Kilometers and Meters

Practice the problems of Math in Focus Grade 3 Workbook Answer Key Chapter 11 Practice 2 Kilometers and Meters to score better marks in the exam.

Math in Focus Grade 3 Chapter 11 Practice 2 Answer Key Kilometers and Meters

Complete.

Example
Math in Focus Grade 3 Chapter 11 Practice 2 Answer Key Kilometers and Meters 1

Question 1.
Math in Focus Grade 3 Chapter 11 Practice 2 Answer Key Kilometers and Meters 2
5 km 26 m = __________ m + __________ m
= _________ m
Answer:

5 km 26 m = 5000 m + 26 m
= 5026 m
Explanation:
Converting kilometers to meters
1 kilometer = 1000 meters

Question 2.
Math in Focus Grade 3 Chapter 11 Practice 2 Answer Key Kilometers and Meters 3
8 km 8 m = __________ m + __________ m
= _________ m
Answer:

8 km 8 m = 8000 m + 8 m
= 8008 m
Explanation:
Converting kilometers to meters
1 kilometer = 1000 meters

Write in meters.

Question 3.
5 km 505 m = __________ m + __________ m = __________ m
Answer:
5 km 505 m = 5000 m + 505 m = 5505 m
Explanation:
Converting kilometers to meters
1 kilometer = 1000 meters

Question 4.
8 km 500 m = __________ m + __________ m = __________ m
Answer:
8 km 500 m = 8000 m + 500 m = 8500 m
Explanation:
Converting kilometers to meters
1 kilometer = 1000 meters

Question 5.
8 km 50 m = __________ m + __________ m = __________ m
Answer:
8 km 50 m = 8000 m + 50 m = 8050 m
Explanation:
Converting kilometers to meters
1 kilometer = 1000 meters

Question 6.
9 km 5 m = __________ m + __________ m = __________ m
Answer:
9 km 5 m = 9000 m + 5 m = 9005 m
Explanation:
Converting kilometers to meters
1 kilometer = 1000 meters

Complete.

Example
Math in Focus Grade 3 Chapter 11 Practice 2 Answer Key Kilometers and Meters 4

Question 7.
Math in Focus Grade 3 Chapter 11 Practice 2 Answer Key Kilometers and Meters 5
3,056 m = ___________ km ___________ m
Answer:

3,056 m = 3 km 56 m
Explanation:
Converting  the given meters to kilometers and meters
1 kilometer = 1000 meters

Question 8.
Math in Focus Grade 3 Chapter 11 Practice 2 Answer Key Kilometers and Meters 6
6,009 m = ___________ km ___________ m
Answer:

6,009 m = 6 km 9 m
Explanation:
Converting  the given meters to kilometers and meters
1 kilometer = 1000 meters

Write in kilometers and meters.

Question 9.
2,050 m = ___________ m + ___________ m = ___________ km ___________ m
Answer:
2,050 m = 2000 m + 50 m = 2 km 50 m
Explanation:
Converting  the given meters to kilometers and meters
1 kilometer = 1000 meters

Question 10.
7,900 m = = ___________ m + ___________ m = ___________ km ___________ m
Answer:
7,900 m = = 7000 m + 900 m = 7 km 900 m
Explanation:
Converting  the given meters to kilometers and meters
1 kilometer = 1000 meters

Question 11.
9,090 m = = ___________ m + ___________ m = ___________ km ___________ m
Answer:
9,090 m = = 9000 m + 90 m = 9 km 90 m
Explanation:
Converting  the given meters to kilometers and meters
1 kilometer = 1000 meters

Question 12.
9,009 m = = ___________ m + ___________ m = ___________ km ___________ m
Answer:
9,009 m = = 9000 m + 9 m = 9 km 9 m
Explanation:
Converting  the given meters to kilometers and meters
1 kilometer = 1000 meters

Choose the unit you would use to measure each. Write kilometers or meters.

Question 13.
Math in Focus Grade 3 Chapter 11 Practice 2 Answer Key Kilometers and Meters 7
The building is about 30 ____________ tall.
Answer:
The building is about 30 meters tall.
Explanation:
The building cannot be measured in Kilometers
it is measured in meters

Question 14.
Math in Focus Grade 3 Chapter 11 Practice 2 Answer Key Kilometers and Meters 8
The distance from Washington, D.C., to Syracuse, New York, is about 470 _____________.
Answer:
The distance from Washington, D.C., to Syracuse, New York, is about 470 kilometers.
Explanation:
The distance between states cannot be measured in meters
so it is measured in kilometers

Question 15.
Math in Focus Grade 3 Chapter 11 Practice 2 Answer Key Kilometers and Meters 9
A bus is about 10 _____________ long.
Answer:
A bus is about 10 meters long.
Explanation:
The bus cannot be measured in Kilometers
it is measured in meters

Question 16.
Math in Focus Grade 3 Chapter 11 Practice 2 Answer Key Kilometers and Meters 10
The total length of the Golden Gate Bridge is about 3 _____________.
Answer:
The total length of the Golden Gate Bridge is about 3 kilometers.
Explanation:
The length of bridge cannot be measured in meters
so it is measured in kilometers

Complete.

Jacob is at an amusement park. He wants to visit all four theme parks. Find the length of each path he wants to take.
Math in Focus Grade 3 Chapter 11 Practice 2 Answer Key Kilometers and Meters 11

Question 17.
Jacob needs to travel _____________ meters from the entrance to Fantasy Land.
Answer:
Jacob needs to travel 2500 meters from the entrance to Fantasy Land.
Explanation:
The length from entrance to Fantasy Land.
1 kilometer = 1000 meters
2 km 500 m = 2000 + 500 = 2500 meters

Question 18.
Super Land is _____________ meters from Fantasy Land.
Answer:
Super Land is 4070 meters from Fantasy Land.
Explanation:
1 kilometer = 1000 meters
The distance from Super Land  to Fantasy Land is 4 km 70 m
4000 + 70 = 4070 meters

Question 19.
From _____________ to Magic Land, he has to travel a distance of 9 kilometers 9 meters.
Answer:
From super land to Magic Land, he has to travel a distance of 9 kilometers 9 meters.
Explanation:
The distance from super land to Magic Land, is 9009 meters
1 kilometer = 1000 meters
9 kilometers + 9 m

Question 20.
Magic Land is _____________ kilometers _____________ meters from Mystery Land.
Answer:
Magic Land is 5 kilometers 808 meters from Mystery Land.
Explanation:
1 kilometer = 1000 meters
5808 = 5000 + 808 = 5 km + 808 m

Question 21.
Mystery Land is _____________ kilometers _____________ meters from the entrance.
Answer:
Mystery Land is 4 kilometers 76 meters from the entrance.
Explanation:
1 kilometer = 1000 meters
4076 = 4000 + 76 = 4km + 76 meters

Math in Focus Grade 4 Chapter 13 Answer Key Symmetry

This handy Math in Focus Grade 4 Workbook Answer Key Chapter 13 Symmetry detailed solutions for the textbook questions.

Math in Focus Grade 4 Chapter 13 Answer Key Symmetry

Math Journal

Complete.

Question 1.
Math in Focus Grade 4 Chapter 13 Answer Key Symmetry 1
Explain why the dotted line is the line of symmetry for the figure.
Answer:
If a figure can be folded or divided into half so that the two halves match exactly then such a figure is called a symmetric figure. The figure above is symmetric.
The dotted line in above symmetric figure that divides the figure into two equal halves is called the line of symmetry.

Question 2.
Math in Focus Grade 4 Chapter 13 Answer Key Symmetry 2
Does the square have rotational symmetry about the center shown? Explain.
Answer:
Yes, The square have rotational symmetry for the center shown in the above figure.
Explanation:
If a figure is rotated around a center point and it still appears exactly as it did before the rotation, it is said to have rotational symmetry. A number of shapes like squares, circles, regular hexagons etc. have rotational symmetry.

Put On Your Thinking Cap!

Challenging Practice

Shade the correct squares so that the pattern of shaded squares has line symmetry about the given dotted line.

Question 1.
Math in Focus Grade 4 Chapter 13 Answer Key Symmetry 3
Answer:
Math-in-Focus-Grade-4-Chapter-13-Answer-Key-Symmetry-3

Shaded the correct squares in the above figure. The pattern of shaded squares has line symmetry for the given dotted line.

Question 2.
Math in Focus Grade 4 Chapter 13 Answer Key Symmetry 4
Answer:
Math-in-Focus-Grade-4-Chapter-13-Answer-Key-Symmetry-4

Shaded the correct squares in the above figure. The pattern of shaded squares has line symmetry for the given dotted line.

In the square grid below, design a symmetric pattern that has both line symmetry about the given dotted line and rotational symmetry.

Question 3.
Math in Focus Grade 4 Chapter 13 Answer Key Symmetry 5
Answer:
Math-in-Focus-Grade-4-Chapter-13-Answer-Key-Symmetry-5
In the above square grid, designed a symmetric pattern that has both line symmetry for the given dotted line and rotational symmetry.

Put On Your Thinking Cap!

Problem Solving

Add one unit square to each figure to make it symmetric about the given dotted line.

Question 1.
Math in Focus Grade 4 Chapter 13 Answer Key Symmetry 6
Answer:
Math-in-Focus-Grade-4-Chapter-13-Answer-Key-Symmetry-6

Added one unit square to the above figure to make it symmetric for the given dotted line.

Question 2.
Math in Focus Grade 4 Chapter 13 Answer Key Symmetry 7
Answer:
Math-in-Focus-Grade-4-Chapter-13-Answer-Key-Symmetry-7
Added one unit square to the above figure to make it symmetric for the given dotted line.

Shade unit squares in each pattern so that it has line symmetry and rotational symmetry.

Question 3.
Math in Focus Grade 4 Chapter 13 Answer Key Symmetry 8
Answer:
Math-in-Focus-Grade-4-Chapter-13-Answer-Key-Symmetry-8
Shaded unit squares in above pattern. Now the above figure has both line symmetry and rotational symmetry.

Question 4.
Math in Focus Grade 4 Chapter 13 Answer Key Symmetry 9
Answer:
Math-in-Focus-Grade-4-Chapter-13-Answer-Key-Symmetry-9
Shaded unit squares in above pattern. Now the above figure has both line symmetry and rotational symmetry.

Solve.

Question 5.
Using the digits 0, 1, 6, 8, and 9, write down all the possible three-digit numbers that have rotational symmetry. The digits can be used more than once.
Answer:
Three digit numbers:
(000, 010, 080 are not considered generally as a three-digit number)
101, 609, 808, 906,
replace the middle digit successively by 1 and 8 gives
111, 619, 818, 916,
181, 689, 888, 986
for a total of 12 numbers

Math in Focus Grade 3 Chapter 12 Practice 1 Answer Key Real-World Problems: One-Step Problems

Practice the problems of Math in Focus Grade 3 Workbook Answer Key Chapter 12 Practice 1 Real-World Problems: One-Step Problems to score better marks in the exam.

Math in Focus Grade 3 Chapter 12 Practice 1 Answer Key Real-World Problems: One-Step Problems

Solve. Use bar models to help you.

Question 1.
A restaurant has two tables of different lengths. One is 146 centimeters long. The other is 185 centimeters long. What is their total length? Write your answer in meters and centimeters.
Math in Focus Grade 3 Chapter 12 Practice 1 Answer Key Real-World Problems One-Step Problems 1
Answer:
There total length is 331 centimeters
There total length is 3.31 meters
Explanation:
A restaurant has two tables of different lengths. One is 146 centimeters long.
The other is 185 centimeters long.
145 + 185 = 331 cm
3.31 meters
1 meter = 100 centimeters

Question 2.
Jim is preparing for a race. He runs around the track 3 times each day. If he runs 300 meters a day, what is the length of the track?
Answer:
100 meters
Explanation:
Jim is preparing for a race. He runs around the track 3 times each day.
If he runs 300 meters a day,
300 ÷ 3 = 100 meters is the length of the track

Question 3.
A baby elephant has a mass of 1 45 kilograms. The mass of its sister is 5 times as much. What is the mass of its sister?
Answer:
The mass of its sister = 725 kilograms
Explanation:
A baby elephant has a mass of 1 45 kilograms. The mass of its sister is 5 times as much.
145 x 5 = 725

Question 4.
James has a fish tank with a capacity of 24 liters. He uses a 2-liter pail to fill the tank. How many pails of water does he use?
Math in Focus Grade 3 Chapter 12 Practice 1 Answer Key Real-World Problems One-Step Problems 2
Answer:
12 pails of water that he use
Explanation:
James has a fish tank with a capacity of 24 liters.
He uses a 2-liter pail to fill the tank.
24 ÷  2 = 12

Question 5.
A watering can contains 980 milliliters of water. Some water is used to water the plants. In the end, 350 milliliters of water are left. How much water is used to water the plants?
Math in Focus Grade 3 Chapter 12 Practice 1 Answer Key Real-World Problems One-Step Problems 3
Answer:
630 milliliters water is used to water the plants
Explanation:
A watering can contains 980 milliliters of water.
Some water is used to water the plants.
In the end, 350 milliliters of water are left.
980 – 350 = 630

Question 6.
A baker has 2,000 grams of flour. He uses 425 grams of it. What is the mass of the flour left? Give your answer in kilograms and grams.
Answer:
In kilograms = 1.575
In grams = 1575
Explanation:
A baker has 2,000 grams of flour. He uses 425 grams of it.
2000 – 425 = 1575
1 kg = 1000 grams
1.575 grams

Question 7.
Max buys 875 grams of nuts on Monday. He buys 955 grams of nuts on Tuesday. What is the total mass of nuts he buys? Give your answer in kilograms and grams.
Answer:
the total mass of nuts he buys = 1830 grams
In kilograms = 1.830 Kilograms.
Explanation:
Max buys 875 grams of nuts on Monday. He buys 955 grams of nuts on Tuesday.
875 + 955 = 1830 grams

Question 8.
Mrs. Spence has 4 bottles of orange juice. Each bottle contains 125 milliliters of juice. She pours all the juice into an empty container. How much orange juice is in the container?
Answer:
1 liter orange juice is in the container
Explanation:
Mrs. Spence has 4 bottles of orange juice
Each bottle contains 125 milliliters of juice.
She pours all the juice into an empty container.
125 x 4 = 1000 = 1 liter

Math in Focus Grade 3 Chapter 2 Practice 1 Answer Key Mental Subtraction

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

Math in Focus Grade 3 Chapter 2 Practice 1 Answer Key Mental Subtraction

Add mentally. First, add the tens. Then, add the ones.

Example
Math in Focus Grade 3 Chapter 2 Practice 1 Answer Key Mental Addition 1

Question 1.
24 + 55 = ?
24 + 50 = ___
___ + ___ = ___
So, 24 + 55 = ____
Math in Focus Grade 3 Chapter 2 Practice 1 Answer Key Mental Addition 2
Answer:

24 + 50 = 74
74 + 5 = 79
So, 24 + 55 = 79

Question 2.
22 + 64 = ?
20 + 64 = ___
___ + ___ = ____
So, 22 + 64 = ___
Math in Focus Grade 3 Chapter 2 Practice 1 Answer Key Mental Addition 3
Answer:

20 + 64 = 84
84 + 2 = 86
So, 22 + 64 = 86

Add mentally. Use number bonds to help you.

Example
Math in Focus Grade 3 Chapter 2 Practice 1 Answer Key Mental Addition 4

Question 3.
37 + 45 = ?
37 + 50 = __
___ – ___ = ___
So, 37 + 45  = ___
Math in Focus Grade 3 Chapter 2 Practice 1 Answer Key Mental Addition 5
Answer:

37 + 50 = 87
87 – 5 = 82
So, 37 + 45  = 82

Question 4.
46 + 34 = ?
46 + 40 = ___
__ – __ = ___
So 46 + 34 = ___
Math in Focus Grade 3 Chapter 2 Practice 1 Answer Key Mental Addition 6
Answer:

46 + 40 = 86
86 – 6 = 80
So 46 + 34 = 80

Add mentally. Use number bonds to help you.

Question 5.
41 + 43 = ___
Answer:
41 + 43
40 + 40 = 80
80 + 1 + 3 = 84
So, 41 + 43 = 84

Question 6.
31 + 64 = ___
Answer:
31 + 64
30 + 60 = 90
90 + 1 + 5 = 95
So, 31 + 64 = 95

Question 7.
15 + 47 = ___
Answer:
15 + 47
15 + 50 = 65
65 – 3 = 62
So, 15 + 47 = 62

Question 8.
46 + 48 = ___
Answer:
46 + 48
50 + 50 = 100
100 – 4 -2 = 94
So, 46 + 48 = 94

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

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

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

Add.

Example
Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 1

Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 2

Question 1.
Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 3
Answer:
Math-in-Focus-Grade-3-Chapter-3-Practice-1-Answer-Key-Addition-Without-Regrouping-Add-1
Explanation:
6,210 + 765 = 6,975.

Question 2.
Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 4
Answer:
Math-in-Focus-Grade-3-Chapter-3-Practice-1-Answer-Key-Addition-Without-Regrouping-Add-2

Explanation:
5,324 + 3,351 = 8,675.

Question 3.
Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 5
Answer:
Math-in-Focus-Grade-3-Chapter-3-Practice-1-Answer-Key-Addition-Without-Regrouping-Add-3

Explanation:
5,413 + 1,382 = 6,795.

Question 4.
Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 6
Answer:
Math-in-Focus-Grade-3-Chapter-3-Practice-1-Answer-Key-Addition-Without-Regrouping-Add-4

Explanation:
7,363 + 1,406 = 8,769.

Question 5.
Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 7
Answer:
Math-in-Focus-Grade-3-Chapter-3-Practice-1-Answer-Key-Addition-Without-Regrouping-Add-5

Explanation:
1,048 + 3,430 = 4,478.

Question 6.
Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 8
Answer:
Math-in-Focus-Grade-3-Chapter-3-Practice-1-Answer-Key-Addition-Without-Regrouping-Add-6

Explanation:
3,157 + 2,242 = 5,399.

Add.

Example
Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 9

Question 7.
5,362 + 506 = ____
Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 10
Answer:
5,362 + 506 = 5,868.

Explanation:
Math-in-Focus-Grade-3-Chapter-3-Practice-1-Answer-Key-Addition-Without-Regrouping-Add-7

Question 8.
6,542 + 3,050 = ____
Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 11
Answer:
6,542 + 3,050 = 9,592.

Explanation:

Math-in-Focus-Grade-3-Chapter-3-Practice-1-Answer-Key-Addition-Without-Regrouping-Add-8

Question 9.
4,632 + 5,306 = ____
Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 12
Answer:
4,632 + 5,306 = 9,938.

Explanation:
Math-in-Focus-Grade-3-Chapter-3-Practice-1-Answer-Key-Addition-Without-Regrouping-Add-9

Question 10.
741 + 2,100 = ____
Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 13
Answer:
741 + 2,100 = 2,841.

Explanation:
Math-in-Focus-Grade-3-Chapter-3-Practice-1-Answer-Key-Addition-Without-Regrouping-Add-10

Find the sum. Use base-ten blocks to help you.
Example
The sum of 6,324 and 251 is 6,575

Question 11.
The sum of 8,624 and 1,362 is ____
Answer:
The sum of 8,624 and 1,362 is 9,986.

Explanation:
Math-in-Focus-Grade-3-Chapter-3-Practice-1-Answer-Key-Addition-Without-Regrouping-Find the sum-Use base-ten blocks to help you-11

Question 12.
The sum of 3,452 and 5,037 is ____
Answer:
The sum of 3,452 and 5,037 is 8,489.

Explanation:
Math-in-Focus-Grade-3-Chapter-3-Practice-1-Answer-Key-Addition-Without-Regrouping-Find the sum-Use base-ten blocks to help you-12

Add
Example
Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 14

Question 13.
3,005 + 4 = ___ Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 15
Answer:
3,005 + 4 = 3,009. Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 15

Explanation:
3,005 + 4 = 3,009.

Question 14.
6,015 + 24 = ___ Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 16
Answer:
6,015 + 24 = 6,039. Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 16

Explanation:
6,015 + 24 = 6,039.

Question 15.
2,021 + 42 = ___ Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 17
Answer:
2,021 + 42 = 2,063. Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 17

Explanation:
2,021 + 42 = 2,063.

Question 16.
8,600 + 300 = ___ Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 18
Answer:
8,600 + 300 = 8,900. Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 18

Explanation:
8,600 + 300 = 8,900.

Question 17.
2,362 + 606 = ___ Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 19
Answer:
2,362 + 606 = 2,968. Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 19

Explanation:
2,362 + 606 = 2,968.

Question 18.
3,633 + 1,143 = ___ Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 20
Answer:
3,633 + 1,143 = 4,776. Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 20

Explanation:
3,633 + 1,143 = 4,776.

Question 19.
4,361 + 3,015 = ___ Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 21
Answer:
4,361 + 3,015 = 7,376. Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 21

Explanation:
4,361 + 3,015 = 7,376.

Write the matching letters of each answer to find out what “Buenas tardes” means.
Question 20.
Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 22
Answer:
good afternoon.
Math-in-Focus-Grade-3-Chapter-3-Practice-1-Answer-Key-Addition-Without-Regrouping-Write the matching letters of each answer to find out what “Buenas tardes” means-20

Explanation:
Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 14
3,005 + 4 = 3,009. Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 15
6,015 + 24 = 6,039. Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 16
2,021 + 42 = 2,063. Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 17
8,600 + 300 = 8,900. Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 18
2,362 + 606 = 2,968. Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 19
3,633 + 1,143 = 4,776. Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 20
4,361 + 3,015 = 7,376. Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 21

Add. Show your work.
Example
Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 23

Question 21.
4,094 + 803 = ____
Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 24
Answer:
4,094 + 803 = 4,897.

Explanation:
Math-in-Focus-Grade-3-Chapter-3-Practice-1-Answer-Key-Addition-Without-Regrouping-Add-Show your work-21

Question 22.
5,051 + 2,136 = ____
Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 25
Answer:
5,051 + 2,136 = 7,187.

Explanation:
Math-in-Focus-Grade-3-Chapter-3-Practice-1-Answer-Key-Addition-Without-Regrouping-Add-Show your work-22

Question 23.
7,423 + 1,362 = ____
Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 26
Answer:
7,423 + 1,362 = 8,785.

Explanation:
Math-in-Focus-Grade-3-Chapter-3-Practice-1-Answer-Key-Addition-Without-Regrouping-Add-Show your work-23

Question 24.
6,036 + 3,112 = ___
Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 27
Answer:
6,036 + 3,112 = 9,148.

Explanation:
Math-in-Focus-Grade-3-Chapter-3-Practice-1-Answer-Key-Addition-Without-Regrouping-Add-Show your work-24

Question 25.
8,999 + 1,000 = ____
Math in Focus Grade 3 Chapter 3 Practice 1 Answer Key Addition Without Regrouping 28
Answer:
8,999 + 1,000 = 9,999.

Explanation:
Math-in-Focus-Grade-3-Chapter-3-Practice-1-Answer-Key-Addition-Without-Regrouping-Add-Show your work-25