Math in Focus

Practice the problems of Math in Focus Grade 3 Workbook Answer Key Chapter 14 Practice 1 Understanding Fractions to score better marks in the exam.

Math in Focus Grade 3 Chapter 14 Practice 1 Answer Key Understanding Fractions

Find the fractions that make a whole.

Example

\(\frac{2}{5}+\frac{3}{5}=\frac{5}{5}\)
= 1
Two-fifths and three-fifths make 1 whole.

Fill in the blanks.

Question 1.

___________ – ___________ and
___________ – ___________ make 1 whole.
Answer:

Five – sixths and one – sixths make 1 whole.
Explanation:
In the above image we can observe five parts are shaded with black color out of six parts and one part is unshaded out of 6 parts. To make 1 whole we need to add 5/6 with 1/6.

Question 2.

___________ – ___________, ___________ – ___________, and ___________ – ___________ make 1 whole.
Answer:

one – eights, two eights and five eights make 1 whole.
Explanation:
In the above image we can observe 1 part is shaded with white color out of eight parts and two parts are shaded with gray color out of eight parts, five parts are shaded with gray color out of 8 parts. To make 1 whole we need to add 1/8, and 2/8 with 5/8.

Name the numerator and denominator.

Example

\(\frac{4}{6}\) of the figure is shaded.
In this fraction, the numerator is 4.
In this fraction, the denominator is 6.

Complete.

Question 3.
of the figure is not shaded.
In this fraction, the numerator is ___________.
In this fraction, the denominator is ____________.
Answer:
 of the figure is not shaded.
In this fraction, the numerator is 4.
In this fraction, the denominator is 7.

Question 4.

of the figure is shaded.
In this fraction, the numerator is ____________.
In this fraction, the denominator is ____________.
Answer:
of the figure is shaded.
In this fraction, the numerator is 4.
In this fraction, the denominator is 8.

Practice the problems of Math in Focus Grade 3 Workbook Answer Key Chapter 10 Practice 1 Addition to score better marks in the exam.

Math in Focus Grade 3 Chapter 10 Practice 1 Answer Key Addition

Add mentally.

Question 1.
$7.30 + $2.00 = $__________
Answer:
$7.30 + $2.00 = $9.30
Explanation:
Perform addition operation on above two numbers. Add $7.30 with $2.00 the sum is $9.30.

Question 2.
$37.20 + $0.45 = $__________
Answer:
$37.20 + $0.45 = $37.65
Explanation:
Perform addition operation on above two numbers. Add $37.20 with $0.45 the sum is $37.65.

Question 3.
$5.20 + $12.65 = $__________
Answer:
$5.20 + $12.65 = $17.85
Explanation:
Perform addition operation on above two numbers. Add $5.20 with $12.65 the sum is $17.85.

Question 4.
$51.20 + $14.80 = $__________
Answer:
$51.20 + $14.80 = $66.00
Explanation:
Perform addition operation on above two numbers. Add $51.20 with $14.80 the sum is $66.00.

Question 5.
$0.95 + $9.35 = $__________
Answer:
$0.95 + $9.35 = $10.30
Explanation:
Perform addition operation on above two numbers. Add $0.95 with $9.35 the sum is $10.30.

Question 6.
$4.35 + $64.85 = $__________
Answer:
$4.35 + $64.85 = $69.20
Explanation:
Perform addition operation on above two numbers. Add $4.35 with $64.85 the sum is $69.20.

Question 7.
$31.65 + $3.90 = $__________
Answer:
$31.65 + $3.90 = $35.55
Explanation:
Perform addition operation on above two numbers. Add $31.65 with $3.90 the sum is $35.55.

Question 8.
$5.45 + $0.75 = $__________
Answer:
$5.45 + $0.75 = $6.20
Explanation:
Perform addition operation on above two numbers. Add $5.45 with $0.75 the sum is $6.20.

Find each missing amount.

Question 9.

$26 + $72 = $__________
40¢ + 50¢ = __________¢
$__________ + __________¢ = $__________
Answer:

$26 + $72 = $98
40¢ + 50¢ = 90¢
$98 + 90¢ = $98.90
Explanation:
In the above image we can observe before the decimal point the number is represented with $ and after the decimal point the number is represented with ¢. The total sum is represented with $.
Add before the decimal point numbers.
$26 + $72 = $98
Add after the decimal point numbers.
40¢ + 50¢ = 90¢
Add before and after decimal point numbers.
$98 + 90¢ = $98.90

Question 10.

$__________ + $__________ = $__________
__________¢ + __________¢ = __________¢
$__________ + __________¢ = $ __________
Answer:

$51 + $4= $55
25¢ +20¢ = 45¢
$55 + 45¢ = $ 55.45
Explanation:
In the above image we can observe before the decimal point the number is represented with $ and after the decimal point the number is represented with ¢. The total sum is represented with $.
Add before the decimal point numbers.
$51 + $4= $55
Add after the decimal point numbers.
25¢ +20¢ = 45¢
Add before and after decimal point numbers.
$55 + 45¢ = $ 55.45

Find each missing amount.

Question 11.

$__________ + $__________ = $__________
__________¢ + __________¢ = __________¢
$__________ + __________¢ = $ __________
Answer:

$6 + $18 = $24
5¢ + 20¢ = 25¢
$24 + 25¢ = $ 24.25
Explanation:
In the above image we can observe before the decimal point the number is represented with $ and after the decimal point the number is represented with ¢. The total sum is represented with $.
Add before the decimal point numbers.
$6 + $18 = $24
Add after the decimal point numbers.
5¢ + 20¢ = 25¢
Add before and after decimal point numbers.
$24 + 25¢ = $ 24.25

Question 12.

$__________ + $__________ = $__________
__________¢ + __________¢ = __________¢
$__________ + __________¢ = $ __________
Answer:

$60 + $17 = $77
5¢ + 70¢ = 75¢
$77 + 75¢ = $ 77.75
Explanation:
In the above image we can observe before the decimal point the number is represented with $ and after the decimal point the number is represented with ¢. The total sum is represented with $.
Add before the decimal point numbers.
$60 + $17 = $77
Add after the decimal point numbers.
5¢ + 70¢ = 75¢
Add before and after decimal point numbers.
$77 + 75¢ = $ 77.75

Use the items and prices in the picture to answer each exercise.

What is the cost of
Question 13.
a carton of milk and a head of broccoli? $ __________
Answer:
A carton of milk cost is $2.70.
A head of broccoli cost is $2.30
$2.70 + $2.30 = $ 5
The cost of both carton of milk and a head of broccoli are $5.

Question 14.
a bunch of grapes and a packet of whole meal biscuits? $__________
Answer:
A bunch of grapes cost is $12.95.
A packet of whole meal biscuits is $3.05.
$12.95 + $3.05 = $16
The cost of both bunch of grapes and a packet of whole meal biscuits are $16.

Question 15.
a cucumber and a head of cabbage? $__________
Answer:
A cucumber cost is $0.85
A head of cabbage cost is $1.15.
$0.85 + $1.15 = $2
The cost of both cucumber and a head of cabbage are $2.

Question 16.
a pack of cheese and a box of oranges? $__________
Answer:
A pack of cheese cost is $3.55.
A box of oranges cost is $9.45.
$3.55 + $9.45 = $13
The cost of both pack of cheese and a box of oranges are $13.

This handy Math in Focus Grade 1 Workbook Answer Key Chapter 6 Practice 2 Position Words detailed solutions for the textbook questions.

Math in Focus Grade 1 Chapter 6 Practice 2 Answer Key Position Words

Look at the picture. Circle the correct name.

Example
Who is after Alice? Carlo

Question 1.
Who is before Ben? Carlo Alice
Answer: Alice is before Ben.

Question 2.
Who is after Carlo? Ben Denelle
Answer: Denelle is after Carlo

Question 3.
Who is between Eddie and Carlo? Alice Denelle
Answer: Denelle is between Eddie and Carlo.

Question 4.
Who is between Carlo and Alice? Ben Eddie
Answer: Ben is between Carlo and Alice.

Color.

Example
the fourth bird from the left

Question 5.
the second pizza from the left

Answer:

Question 6.
the fifth monkey from the right

Answer:

Question 7.
the ninth football from the right

Answer:

Look at the picture. Fill in the blanks with the words in the box.

Question 8.
The long haired dog is first on the ____
Answer: The long haired dog is first on the left

Question 9.
The small dog is ___ from the left.
Answer: The small dog is fifth from the left.

Question 10.
The skinny dog is ___ the fat dog.
Answer: The skinny dog is next to the fat dog.

Question 11.
The big dog is also ___ the fat dog.
Answer: The big dog is also next to the fat dog.

Draw.

Question 12.
an apple on the last plate from the right a banana on the plate next to the apple an orange on the sixth plate from the left

Answer:

Read the clues to answer the question. Then write the letters in the correct

Question 13.
What is the capital of the United States of America?

Clues:

a. second letter from the right

b. fourth letter from the left

c. fifth letter from the left

d. third letter from the left

e. seventh letter from the left

f. fourth letter from the right

g. first letter on the left

h. the letter next to “G”

j. last letter from the left

j. letter between “S” and “I”

Answer: Washington

Practice the problems of Math in Focus Grade 1 Workbook Answer Key Chapter 8 Addition and Subtraction Facts to 20 to score better marks in the exam.

Math in Focus Grade 1 Chapter 8 Answer Key Addition and Subtraction Facts to 20

Put On Your Thinking Cap!

Challenging Practice

Question 1.
10 6 = 4
Answer: 10 – 6 = 4

Question 2.
7 5 = 12
Answer: 7 + 5 = 12

Question 3.
16 9 = 7
Answer: 16 – 9 = 7

Question 4.
9 7 = 16
Answer: 9 + 7 = 16

Question 5.
11 3 = 14
Answer: 11 + 3 = 14

Question 6.
14 6 = 20
Answer: 14 + 6 = 20

Question 7.
17 2 = 15
Answer: 17 – 2 = 15

Question 8.
12 8 = 20
Answer: 12 + 8 = 20

Fill in the blanks.

Question 9.
18 – ______ = 10
Answer: 18 – 8 = 10

Question 10.
______ – 9 = 11
Answer: 20 – 9 = 11

Question 11.
20 – ______ = 20
Answer: 20 – 0 = 20

Question 12.
______ – 6 = 6
Answer: 12 – 6 = 6

Question 13.
______ + 3 = 12
Answer: 9 + 3 = 12

Question 14.
______ + 5 = 13
Answer: 8 + 5 = 13

Solve.

Question 15.
Dane gets 2 baskets in a computer game. His total score is 16.

a. Color 2 baskets that he gets.

Answer:

b. Which are the 2 baskets that he got? Write an addition sentence for them.
_____ + _____ = 16
Answer: 11 + 5 = 16

c. Look for other answers. Write them here.
___ + ___ = 16
___ + ___ = 16
Answer:
12 + 4 = 16
9 + 7 = 16

Put On Your Thinking Cap!

Problem Solving

Solve.

Ed did 6 more cartwheels than Lila. How many cartwheels did Ed and Lila each do?

Write four possible pairs of numbers. The total number of cartwheels cannot be more than 20.

Question 1.
If Lila did ________ cartwheels, then Ed did ________ cartwheels.
Answer: If Lila did 7 cartwheels, then Ed did 13 cartwheels.
7 + 13 = 20

Question 2.
If Lila did ________ cartwheels, then Ed did ________ cartwheels.
Answer: If Lila did 8 cartwheels, then Ed did 12 cartwheels.
8 + 12 = 20

Question 3.
If Ed did ________ cartwheels, then Lila did ________ cartwheels.
Answer: If Ed did 14 cartwheels, then Lila did 6 cartwheels.
14 + 6 = 20

Question 4.
If Ed did ________ cartwheels, then Lila did ________ cartwheels.
Answer:
If Ed did 10 cartwheels, then Lila did 10 cartwheels.
10 + 10 = 20

Fill the with any of these numbers. Use each number once.

Question 5.

Answer:

Chapter Review/Test

Vocabulary

Circle the correct answers.

Question 1.
Which numbers are the same?
4 9 6 0 4
Answer: 4 and 4 are the same numbers

Question 2.
Which fact is a doubles fact?
9 + 1 = 10 4 + 8 = 12 9 + 9 = 18
Answer: 9 + 9 = 18 is a doubles fact.

Question 3.
Which fact is a doubles plus one fact?
1 + 2 = 3 3 + 3 = 6 9 + 2 = 11
Answer: 1 + 2 = 3 is a doubles plus one fact.

Concepts and Skills
Fill in the blanks.

Question 4.
6 + 5 = ____
Answer: 11

Question 5.
9 + 6 = ___
Answer: 15

Complete the number bonds. Then fill in the blanks.

Question 6.

Answer:

Question 7.

Answer:

Question 8.

Answer:

Question 9.

Answer:

Fill in the blanks.

Question 10.
11 + 9 = ____
Answer: 20

Question 11.
12 – 5 = ____
Answer: 7

Problem Solving

Solve.

Question 12.
Andy has 9 stickers. His sister gives him 5 more. How many stickers does Andy have in all?

Andy has ________ stickers in all.
Answer:
Given,
Andy has 9 stickers,
His sister gave 5 more stickers,
By adding 9 with 5 we get 14,
Therefore, Andy has 14 stickers in all.

Question 13.
Tia has 14 hair clips. She gives 7 hair clips to her sister. How many hair clips does Tia have left?
Tia has ________ hair clips left.

Answer:
Given,
Tia has 14 hair clips,
She gives away 7 hair clips to her sister,
By subtracting 7 from 14 we get 7,
Therefore, Tia has 7 hair clips left.

Question 14.
I am double 6 plus 1 more. What number am I? I am the number ____
Answer:
I am the number 13.

This handy Math in Focus Grade 5 Workbook Answer Key Chapter 14 Practice 1 Prisms and Pyramids provides detailed solutions for the textbook questions.

Math in Focus Grade 5 Chapter 14 Practice 1 Answer Key Prisms and Pyramids

Identify the type of pyramid and the shapes of the faces

Question 1.
This is a ___ prism.
Answer:
This is a triangular prism,

Explanation:
A triangular prism is a prism composed of two triangular bases and
three rectangular sides.

Question 2.
Two of its faces are ____
Answer:
Two of its faces are triangle,

Explanation:
A triangular prism is a prism composed of two triangular bases.

Question 3.
Three of its faces are ____
Answer:
A triangular prism is a prism composed of three rectangular sides.

Question 4.
This is a ____ prism.
Answer:
This is a rectangular prism,

Explanation:
As a rectangular prism is a three-dimensional shape, having six faces,
where all the faces (top, bottom, and lateral faces) are rectangle of the prism.
So given solid is rectangular prism.

Question 5.
All its faces are _______________________
Answer:
All its faces are rectangle,

Explanation:
As a rectangular prism is a three-dimensional shape, having six faces,
where all the faces (top, bottom, and lateral faces) are rectangle of the prism.

Complete the table.

Question 6.

Answer:

Explanation:
Given type of prism is triangular as the prism is composed of two triangular bases and
three rectangular sides with number of faces – 5, number of edges – 9 & number of vertices – 6.

Question 7.

Answer:

Explanation:
Given type of prism is triangular as the prism is composed of two triangular bases and
three rectangular sides with number of faces – 5, number of edges – 9 & number of vertices – 6.

Question 8.

Answer:

Explanation:
Given a pentagonal prism is a three-dimensional solid that has two
pentagonal bases on the bottom and top of the shape.
All the other sides of a pentagonal prism have the shape of a rectangle.
There are types of pentagonal prism – regular pentagonal prism and
rectangular pentagonal prism.
A pentagonal prism has 7 faces, 15 edges and 10 vertices.

Identify the type of pyramid and the shape of the faces.

Question 9.
This is a ___ pyramid.
Answer:

Explanation:
Given pyramid is Tetragonal or Dipyramid with 4 prisms.

Question 10.
All its faces are __.
Answer:

All its faces are 8,

Explanation:
Given Tetragonal or Dipyramid has 8-faced form about a 4-fold rotation axis.

Identify the type of pyramid and the shapes of the faces.

Question 11.
This is a ___ pyramid.
Answer:

Answer:
This is a _tetragonal- dipyramid__ pyramid.

Explanation:
Given pyramid is Tetragonal or Dipyramid with 4 prisms.

Question 12.
One of its faces is a ____
Answer:

One of its faces is a rectangular base,

Explanation:
Given pyramid has base of a rectangle as shown above.

Question 13.
Four of its faces are ____
Answer:
Four of its faces are triangular prisms,

Explanation:
As given pyramid has four of its faces are triangular prisms.

Complete the table.

Question 14.

Answer:

Explanation:
Given type of pyramid is pentagonal pyramid number of faces 6, number of edges 10 and
number of vertices 6.

Question 15.

Answer:

Explanation:
Given the type of pyramid is a pentagonal pyramid number of faces 7,
a number of edges 12 and number of vertices 7.

Name the solid formed by each net.

Question 16.

Answer:

Explanation:
Given net is Cube as as it has 6 square faces as shown above.

Question 17.

Answer:

Explanation:
Given net is tetragonal prism as as it has 4 triangular faces and one square face as shown above.

Question 18.

Answer:

Explanation:
Given net is triangular pyramid as as it has 4 triangular faces as shown above.

Question 19.

Answer:

Explanation:
Given prism is rectangular as it has 2 tiangular faces and
3 rectangular faces as shown above.

Question 20.

Answer:

Explanation:
Given net is Cuboid as it has 6 rectangular faces as shown above.

This handy Math in Focus Grade 5 Workbook Answer Key Chapter 14 Three-Dimensional Shapes provides detailed solutions for the textbook questions.

Math in Focus Grade 5 Chapter 14 Answer Key Three-Dimensional Shapes

Put On Your Thinking Cap!

Challenging Practice

Find the number of cubes in each prism.

Question 1.

Answer:

Explanation:
Given solid cube has 3 cms X 2 cms X 2 cms each.
So the volume of given cube is  (3 cms X 2 cms X 2 cms)  =
12 cubes with 1 cm X 1 cm X 1 cm each.

Question 2.

Answer:

Explanation:
Given cube is divided in center so we get 2 triangular prisms.

Each solid is cut vertically along the line shown. Identify the solid shapes that result.

Question 3.

Answer:

Explanation:
Given solid shape has 3 triangular prisms again 3 have been divided from center
giving 6 solid shape prisms.
Question 4.

Answer:

Explanation:
Given solid shape has 3 irregular triangular prisms again 3 prisms have been
divided from center giving 6 solid shape small prisms.

Put On Your Thinking Cap!

Problem Solving

Which of these are nets of a cube? Check the boxes.

Question 1.

Answer:

Explanation:
Given nets form a cube so checked and ticked in the checkbox.

Question 2.

Answer:

Explanation:
Given nets form a cube so checked and ticked in the checkbox.

Question 3.

Answer:

Explanation:
Given nets form a cube so checked and ticked in the checkbox.

Question 4.

Answer:

Explanation:
Given nets form a cube so checked and ticked in the checkbox.

Question 5.

Answer:

Explanation:
Given nets form a cube so checked and ticked in the checkbox.

Question 6.

Answer:

Explanation:
Given nets cannot form a cube so checked and ticked cross in the checkbox.

Question 7.

Answer:

Explanation:
Given nets cannot form a cube so checked and ticked cross in the checkbox.

Question 8.

Answer:

Explanation:
Given nets cannot form a cube so checked and ticked cross in the checkbox.

Practice the problems of Math in Focus Grade 5 Workbook Answer Key Chapter 9 Practice 2 Multiplying by Tens, Hundreds, and Thousands to score better marks in the exam.

Math in Focus Grade 5 Chapter 9 Practice 2 Answer Key Multiplying by Tens, Hundreds, and Thousands

Complete. Draw chips and use arrows to show how the chips move. Then fill in the blanks.

Question 1.

Answer:
12 x 10 = 120
2 x 10 = 20
0.2 x 10 = 2
0.12 x 10 = 1.2
Explanation:
To multiply decimals, first multiply as if there is no decimal.
Next, count the number of digits after the decimal in each factor.
Finally, put the same number of digits behind the decimal in the product.

Multiply.
Question 2.

Answer: 5

Explanation:
To multiply decimals, first multiply as if there is no decimal.
Next, count the number of digits after the decimal in each factor.
Finally, put the same number of digits behind the decimal in the product.

Question 3.

Answer: 19

Explanation:
To multiply decimals, first multiply as if there is no decimal.
Next, count the number of digits after the decimal in each factor.
Finally, put the same number of digits behind the decimal in the product.

Question 4.

Answer: 34.2

Explanation:
To multiply decimals, first multiply as if there is no decimal.
Next, count the number of digits after the decimal in each factor.
Finally, put the same number of digits behind the decimal in the product.

Question 5.

Answer: 70.35

Explanation:
To multiply decimals, first multiply as if there is no decimal.
Next, count the number of digits after the decimal in each factor.
Finally, put the same number of digits behind the decimal in the product.

Question 6.
10 × 7.9 = ___
Answer:79

Explanation:
To multiply decimals, first multiply as if there is no decimal.
Next, count the number of digits after the decimal in each factor.
Finally, put the same number of digits behind the decimal in the product.

Question 7.
10 × 4.8 = ___
Answer: 48

Explanation:
To multiply decimals, first multiply as if there is no decimal.
Next, count the number of digits after the decimal in each factor.
Finally, put the same number of digits behind the decimal in the product.

Question 8.
10 × 27.54 = ___
Answer: 275.4

Explanation:
To multiply decimals, first multiply as if there is no decimal.
Next, count the number of digits after the decimal in each factor.
Finally, put the same number of digits behind the decimal in the product.

Question 9.
10 × 12.009 = ____
Answer: 120.09

Explanation:
To multiply decimals, first multiply as if there is no decimal.
Next, count the number of digits after the decimal in each factor.
Finally, put the same number of digits behind the decimal in the product.

Question 10.
0.7 × ___ = 7
Answer: 10
0.7 x 10 = 7

Explanation:
To multiply decimals, first multiply as if there is no decimal.
Next, count the number of digits after the decimal in each factor.
Finally, put the same number of digits behind the decimal in the product.

Question 11.
15.72 × ___ = 157.2
Answer: 10
15.72 x 10 = 157.2

Explanation:
To multiply decimals, first multiply as if there is no decimal.
Next, count the number of digits after the decimal in each factor.
Finally, put the same number of digits behind the decimal in the product.

Question 12.
10 × ___ = 534.2
Answer: 534.2

10 x 53.42

Explanation:
To multiply decimals, first multiply as if there is no decimal.
Next, count the number of digits after the decimal in each factor.
Finally, put the same number of digits behind the decimal in the product.

Question 13.
___ × 10 = 19.07
Answer: 1.907
1.907 x 10 = 190.7

Explanation:
To multiply decimals, first multiply as if there is no decimal.
Next, count the number of digits after the decimal in each factor.
Finally, put the same number of digits behind the decimal in the product.

Complete

Example
8 × 50 = (8 × 5) × 10
= 40 × 10
= 400
So, 8 × 50 = 400

Question 14.
0.8 × 50 = (0.8 × 5) × ___
= ___ × 10
= ____
So, 0.8 × 50 = ___
Answer:
0.8 × 50 = (0.8 × 5) × 10
= 4.0 × 10
= 40
So, 0.8 × 50 = 40
Explanation:
To multiply decimals, first multiply as if there is no decimal.
Next, count the number of digits after the decimal in each factor.
Finally, put the same number of digits behind the decimal in the product.

Question 15.
0.88 × 50 = (0.88 × ___) × 10
= ___ × 10
= ____
So, 0.88 × 50 = ___
Answer:
0.88 × 50 = (0.88 × 5) × 10
= 4.4 × 10
= 44
So, 0.88 × 50 = 44
Explanation:
To multiply decimals, first multiply as if there is no decimal.
Next, count the number of digits after the decimal in each factor.
Finally, put the same number of digits behind the decimal in the product.

Find each product.

Question 16.
0.9 × 40 = ____
Answer:
0.9 × 40 = (0.9 × 4) × 10
= 3.6 × 10
= 36
So, 0.9 × 40 = 36
Explanation:
Separate 40 as 4 ones and 1 tenths,
then multiply with ones first and later tens.

Question 17.
1.5 × 60 = ___
Answer:
1.5 × 60 = (1.5 × 6) × 10
= 9.0 × 10
= 90
So, 1.5 × 60 = 90

Explanation:
Separate 60 as 6 ones and 1 tenths,
then multiply with ones first and later tens.

Question 18.
0.05 × 80 = ____
Answer:
0.05 × 80 = (0.05 × 8) × 10
= 0.4 × 10
= 4
So, 0.05 × 80 = 4
Explanation:
Separate 80 as 8 ones and 1 tenths,
then multiply with ones first and later tens.

Question 19.
9.17 × 70 = ___
Answer:
9.17 x 70 = (9.17 x 7) x 10
=64.19 x 10
=641.9
So, 9.17 x 70 = 641.9
Explanation:
Separate 70 as 7 ones and 1 tenths,
then multiply with ones first and later tens.

Question 20.
6.358 × 30 = ___
Answer:
6.358 x 30 = (6.358 x 3) x 10
=19.074 x 10
=190.74
So,6.358x 30 = 190.74
Explanation:
Separate 30 as 3 ones and 1 tenths,
then multiply with ones first and later tens.

Question 21.
34.6 × 50 = ____
Answer:
34.6 x 50 = (34.6 x 5) x 10
= 173 x 10
= 1730
So, 34.6 x 50 =1730
Explanation:
Separate 50 as 5 ones and 1 tenths,
then multiply with ones first and later tens.

Question 22.
41.32 × 60 = ___
Answer:
41.32 x 60 = (41.32 x 6) x 10
= 247.92 x 10
= 2479.2
So, 41.32 x 60= 2479.2
Explanation:
Separate 60 as 6 ones and 1 tenths,
then multiply with ones first and later tens.

Question 23.
23.05 × 40 = ___
Answer:
23.05 x 40 = (23.05 x 4) x 10
=92.2 x 10
=922
So, 23.05 x 40 = 92.2
Explanation:
Separate 40 as 4 ones and 1 tenths,
then multiply with ones first and later tens.

Question 24.

Answer: 130
Explanation:
1.3 x 100 = (1.3 x10) x 10
=13 x 10
=130
So, 1.3 x 100 = 130
Question 25.

Answer: 680
Explanation:
6.8 x 100 = (6.8 x 10) x 10
= 68 x 10
= 680
So, 6.8 x 100 = 680

Question 26.

Answer: 419.6
Explanation:
4.196 x 100 = (4.196 x 10) x 10
= 41.96 x 10
= 419.6
So, 4.196 x 100 = 419.6

Question 27.

Answer: 7430
Explanation:
74.3 x 100 = (74.3 x 10) x 10
= 743 x 10
= 7430
So, 74.3 x 100 = 7430

Question 28.
46.8 × 1oo = ______
Answer: 4680
Explanation:
46.8 x 100 = (46.8 x 10) x 10
=468 x 10
= 4680

Question 29.
4.68 × 100 = ___
Answer: 468
Explanation:
4.68 x 100 = (4.68 x 10) x 10
=46.8 x 10
= 468
So, 4.68 x 100 = 468

Question 30.
5.095 × 100 = ______
Answer: 509.5
Explanation:
5.095 x 100 = (5.095 x 10 )x 10
= 50.95 x 10
= 509.5
So, 5.095 x 100 = 509.5

Question 31.
100 × 50.95 = ____
Answer: 5095
Explanation:
50.95 x 100 = (50.95 x 10) x 10
= 509.5 x 10
= 5095
So, 50.95 x 100 = 5095

Multiply.

Question 32.

Answer: 1800
Explanation:
1.8 x 1000 = (1.8 x 10) x 10 x 10
= 18 x 10 x 10
=180 x 10
=1800
So, 1.8 x 1000 = 1800
Question 33.

Answer: 2100
Explanation:
2.1 x 1000 = (2.1 x 10) x 10 x 10
=21 x 10 x 10
= 210 x 10
= 2100
So, 2.1 x 1000 = 2100

Question 34.

Answer: 9097
Explanation:
9.097 x 1000 = (9.097 x 10) x 10 x 10
=90.97 x 10 x 10
= 909.7 x 10
=9097
So, 9.097 x 1000 = 9097

Question 35.

Answer: 7007
Explanation:
7.007 x 1000 = (7.007 x 10) x 10 x 10
= 70.07 x 10 x 10
= 700.7 x 10
= 7007
So, 7.007 x 1000 = 7007

Question 36.
2.74 × 1,000 = ______
Answer: 2740
Explanation:
2.74 x 1000=  (2.74  x 10) x 10 x 10
=27.4 x 10 x 10
=274 x 10
= 2740

Question 37.
27.4 × 1,000 = ____
Answer: 27400
Explanation:
27.4 x 1000 = (27.4 x 10) x 10 x 10
=274 x 10 x10
=2740 x 10
27400

Question 38.
1,000 × 10.81 = ______
Answer: 10810
Explanation:
10.81 x 1000 =(10.81 x 10) x 10 x 10
= 108.1 x10 x 10
= 1081 x 10
= 10810
So, 10.81 x 1000 = 10810

Question 39.
108.1 × 1,000 = ____
Answer: 108100
Explanation:
108.1 x1000 =(108.1 x 10) x 10 x 10
= 1081 x 10 x 10
= 10810 x 10
= 108100
So, 108.1 x 1000 = 108100

Complete.

Example
1.2 = 0.12 × 10
= 0.012 × 100

Question 40.
360 = 36 × ____
= 3.6 × ____
= 0.36 × _____
Answer:
360 = 36 × 10
= 3.6 × 100
= 0.36 × 1000
Explanation:
To multiply decimals, first multiply as if there is no decimal.
Next, count the number of digits after the decimal in each factor.
Finally, put the same number of digits behind the decimal in the product.

Question 41.
438 = __ × 10
= ___ × 100
= ___ × 1,000
Answer:
438 = 43.8 × 10
= 4.38 × 100
=0.438 × 1,000
Explanation:
To multiply decimals, first multiply as if there is no decimal.
Next, count the number of digits after the decimal in each factor.
Finally, put the same number of digits behind the decimal in the product.

Question 42.
7,256 = ______ × 10
= ____ × 100
= ____ × 1,000
Answer:
7,256 = 725.6 × 10
= 72.56 × 100
= 7.256 × 1,000
Explanation:
To multiply decimals, first multiply as if there is no decimal.
Next, count the number of digits after the decimal in each factor.
Finally, put the same number of digits behind the decimal in the product.

Multiply.

Example
0.3 × 700 = (0.3 × 7) × 1oo
= 2.1 × 1oo = 210
So, 0.3 × 700 = 210

Question 43.
0.003 × 700 = (0.003 × __) × 100
= ____ × 1oo = ____
So, 0.003 × 700 = ___.
Answer:
0.003 × 700 = (0.003 × 7) × 100
= 0.021 × 1oo = 2.1
So, 0.003 × 700 = 2.1.
Explanation:
The place value of a number is the value represented by a digit in a number based on its position in the number.
While a place value is the value a digit holds to be at the place in the number, on the other hand.
First separate the hundredth place value,
and multiply the given numbers with the number .

Question 44.
0.03 × 2,000 = (0.03 × __) × 1,000
= ______ × 1,000 = ______
So, 0.03 × 2,000 = ____.
Answer:
0.03 × 2,000 = (0.03 × 2) × 1,000
= 0.06 × 1,000 = 60
So, 0.03 × 2,000 = 60.
Explanation:
The place value of a number is the value represented by a digit in a number based on its position in the number.
While a place value is the value a digit holds to be at the place in the number, on the other hand.
First separate the place value,
and multiply the given numbers with the number .

Question 45.
0.003 × 2,000 = (0.003 × __________) × 1,000
= __________× 1,000 = _______.
So, 0.003 × 2000 = __________.
Answer:
0.003 × 2,000 = (0.003 × 2) × 1,000
= 0.006× 1,000 = 6
So, 0.003 × 2000 = 6.
Explanation:
The place value of a number is the value represented by a digit in a number based on its position in the number.
While a place value is the value a digit holds to be at the place in the number, on the other hand.
First separate the place value,
and multiply the given numbers with the number .

Find each product.

Question 46.
4.5 × 200 = _______
Answer: 900
Explanation:
(4.5 x 2) x 10 x 10
= 9 x 10 x 10
= 90 x 10
= 900
So, 4.5 x 200 = 900

Question 47.
0.49 × 300 = ___
Answer: 147
Explanation:
0.49 x 300 = (0.49 x 3) x 10 x 10
= 1.47 x 10 x 10
= 14.7 x 10
= 147
So, 0.49 x  300 = 147

Question 48.
3.148 × 500 = ______
Answer: 1,574
Explanation:
3.148 x 500 = (3.148 x 5) x 10 x 10
= 15.74 x 10 x 10
= 157.4 x 10
= 1574
So, 3.147 x 500 = 1574

Question 49.
2.27 × 700 = ___
Answer: 1,589
Explanation:
2.27 x 700 = (2.27 x 7) x 10 x 10
= 15.89 x10 x10
= 158.9 x 10
= 1589
So , 2.27 x 700 = 1589

Question 50.
900 × 3.18 ______
Answer: 2,862
Explanation:
3.18 x 900 = (3.18 x 9) x 10 x 10
= 28.62 x 10 x 10
= 286.2 x 10
= 2862
So, 3.18 x 900 = 2862

Question 51.
1.8 × 2,000 = ___
Answer: 36,00
Explanation:
1.8 x 2000 = (1.8 x 20) x 10 x 10
= 36 x 10 x 10
=360 x 10
=3600
So, 1.8 x 2000 = 3600

Question 52.
4,000 × 2.5 = _______
Answer: 10,000
Explanation:
2.5 x 4000 = (2.5 x 40) x 10 x 10
= 100 x10 x10
= 1000 x 10
= 10000
So, 2.5 x 4000 = 10000

Question 53.
72.5 × 6,000 = ___
Answer: 435,000
Explanation:
72.5 x 6000 = ( 72.5 x 60) x 10 x 10
= 4350 x10 x10
= 43500 x 10
= 435000
So, 72.5 x 6000 = 435000

Question 54.
1.75 × 8,000 = ______
Answer: 14,000
Explanation:
1.75 x 8000 = (1.75 x 80) x 10 x 10
= 140 x10 x10
= 1400 x10
= 14000
So 1.75 x 8000 = 14000

Question 55.
4.19 × 9,000 = ___
Answer: 37,710
Explanation:
4.19 x 9000 = (4.19 x90) x 10 x 10
= 377.1 x10 x10
= 3771 x 10
= 37710
So, 4.19 x 9000 = 37710