Go Math! Practice Fluency Workbook Grade 6 Chapter 5 Operations with Decimals Exercise 5.3 Answer Key

Go Math! Practice Fluency Workbook Grade 6 California 1st Edition Chapter 5 Operations with Decimals

Page 29 Problem 1 Answer

Given expression; 0.2×0.6

To find; Product and decimal multiplication on the grids.

In order to find the solution, count the common shaded region.

For multiplication on the grids, shade2 rows and 6
column and count the common shaded region.

So, there are 12 square which are common shaded. As one square is equal to 0.1. Hence, 0.2×0.6=0.12

Product of given expression is 0.12 and decimal multiplication on the grids is :

Page 29 Problem 2 Answer

Given expression: 0.3×0.7

To find; Product and decimal multiplication on the grids. In order to find the solution, count the common shaded region.

For multiplication on the grids, shade3 row and 7 column and count the common shaded region.

So, there are 21 square which are common shaded. As one square is equal to 0.1 Hence, 0.3×0.7=0.21

Product of given expression is 0.21 and decimal multiplication on the grids is ;

Page 29 Problem 3 Answer

Given expression: 1.2×3.3= To find Product and an area model to represent the multiplication problem.

In order to find the solution, count large square, rectangle and small square.

For area model to represent the multiplication problem, draw 1

square and its right of it draw 2 rectangles to represent 1.2 And then draw 2 square and 3 rectangle below the first square to represent 3.3

Now, count large square, rectangle and small square .

So, there are 3 large square, 9 rectangle and 6 small square. Therefore,1.2×3.3=3.96

The product of given expression is 3.96 and area model to represent the multiplication problem is,

Page 29 Problem 4 Answer

Given expression : 4.1×2.1= To find : Product and an area model to represent the multiplication problem.

In order to find the solution, count large square, rectangle and small square.

For area model to represent the multiplication problem , draw 4 square and 1 rectangle to the right of it to represent 4.1

And then draw 1 square and 1 rectangle below the first square to represent 2.1

Now , count large square, rectangle and small square.

So, there are8 large square, 6 rectangle and 1 small square. Therefore,4.1×2.1=8.61

The product of given expression is 8.61 and area model to represent the multiplication problem is ;

Page 29 Problem 5 Answer

Given ; ​0.1 ×0.2

​Hence, We have to find the product of the given expression.

Firstly, Starting in the right-hand column(units) multiply then, Next, we multiply the same number by the next number across.

To multiply decimals, first, multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor.

From the given expression that is,​0.1×0.2
​

Now, calculate the expression ; The product of 0.1×0.2 is 0.02

Page 29 Problem 6 Answer

Given ; ​0.9×6
​Hence, We have to find the product of the given expression.

Firstly, Starting in the right-hand column(units) multiply then, Next, we multiply the same number by the next number across.

To multiply decimals, first, multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor.

From the given expression that is, ​0.9×6

Now, calculate the expression;​​0.9×6=5.4

The product of 0.9×6is5.4

Page 29 Problem 7 Answer

Given expression is0.3×0.8

To find its product using the method of multiplication.

The given expression is0.3×0.8

To multiply two decimals, we will first ignore the decimal points and multiply the factors as if they were whole numbers.

We then count how many decimal places each factor has and add them to get the number of decimal places for the product:

Now to find its product, =0.3×0.8 =0.24

The solution for the given expression0.3×0.8 is 0.24.

Page 29 Problem 8 Answer

Given expression, is1.6×2.9 To find its product. Using the method of multiplication.

The given expression is1.6×2.9

To multiply two decimals, we will first ignore the decimal points and multiply the factors as if they were whole numbers.

We then count how many decimal places each factor has and add them to get the number of decimal places for the product:

Now to find its product,=1.6×2.9 =4.62

The solution for the given expression1.6×2.9 is 4.64.

Page 29 Problem 9 Answer

Given expression, is1.5×0.41 To find its product. Using the method of multiplication.

The given expression is1.5×0.41

To multiply two decimals, we will first ignore the decimal points and multiply the factors as if they were whole numbers.

We then count how many decimal places each factor has and add them to get the number of decimal places for the product:

Now to find its product, =1.5×0.41 =0.615

The solution for the given expression1.5×0.41 is 0.615.

Page 29 Problem 10 Answer

Given expression, is0.24×2.68 To find its product. Using the method of multiplication.

The given expression is0.24×2.68

To multiply two decimals, we will first ignore the decimal points and multiply the factors as if they were whole numbers.

We then count how many decimal places each factor has and add them to get the number of decimal places for the product:

Now to find its product, =0.24×2.68 =0.6432

The solution for the given expression0.24×2.68 is 0.6432.

Page 29 Problem 11 Answer

Given expression, is3.13×4.69 To find its product. Using the method of multiplication.

The given expression is3.13×4.69

To multiply two decimals, we will first ignore the decimal points and multiply the factors as if they were whole numbers.

We then count how many decimal places each factor has and add them to get the number of decimal places for the product:

Now to find its product, =3.13×4.69 = 14.6797

The product of the given expression3.13×4.69 is 14.6797.

Page 29 Problem 12 Answer

Given expression is5.48×15.12 To find its product. Using the method of mulitplication.

The given expression is5.48×15.12

To multiply two decimals, we will first ignore the decimal points and multiply the factors as if they were whole numbers.

We then count how many decimal places each factor has and add them to get the number of decimal places for the product:

Now to find its product, =5.48×15.12 = 82.5876

The solution for the given expression5.48×15.12 is 82.5876

Page 29 Problem 13 Answer

Given: Each bucket can hold 2.5 pounds of apples. To find how many pounds 7 buckets can hold. Using the method of multiplication.

It is given that the bucket can hold 2.5 pounds of apple, now to find how many many 7 bucket can hold,

To multiply two decimals, we will first ignore the decimal points and multiply the factors as if they were whole numbers.

We then count how many decimal places each factor has and add them to get the number of decimal places for the product:

Now to find its product, =2.5×7 =17.5 Therefore,7 buckets can hold 17.5 pounds of apple.

Page 29 Problem 14 Answer

Given: Canvas costs $7.50 per square meter. To find the cost of 3.5 square meters. Using the method of multiplication.

It is given that the cost of the canvas is $7.50 per square meter and to find the cost of3.5 square meter,

To multiply two decimals, we will first ignore the decimal points and multiply the factors as if they were whole numbers.

We then count how many decimal places each factor has and add them to get the number of decimal places for the product:

Now to find its product, =7.50×3.5 = 26.25 Therefore, the cost of 3.5 square meter canvas is $26.25.

Page 30 Exercise 1 Answer

Given expression, is0.23×3 To find its product. Using the method of multiplication.

The given expression is0.23×3

To multiply two decimals, we will first ignore the decimal points and multiply the factors as if they were whole numbers.

We then count how many decimal places each factor has and add them to get the number of decimal places for the product:

Now to find its product, =0.23×3 =0.69

The product of the given expression0.23×3 is 0.69.

Page 30 Exercise 2 Answer

The given expression is0.41×2 To find its product. Using the method of multiplication.

The given expression is0.41×2

To multiply two decimals, we will first ignore the decimal points and multiply the factors as if they were whole numbers.

We then count how many decimal places each factor has and add them to get the number of decimal places for the product:

Now to find its product, =0.41×2 = 0.82

The solution for the given expression 0.41×2 is 0.82

Page 30 Exercise 3 Answer

The given expression is0.01×5 To find its product. Using the method of multiplication.

The given expression is0.01×5

To multiply two decimals, we will first ignore the decimal points and multiply the factors as if they were whole numbers.

We then count how many decimal places each factor has and add them to get the number of decimal places for the product:

Now to find its product, = 0.01×5 = 0.005

The solution for the given expression 0.01×5 is 0.005.

Page 30 Exercise 4 Answer

Given that Find each product. 0.32×2

To find the product, you must solve the multiplication problem. You can solve multiplication problems through repeated or fast addition.

0.32×2=0.64

The product of the given term is 0.32×2=0.64

Page 30 Exercise 5 Answer

Given that product of the following number 0.15×3

To find the product, you must solve the multiplication problem. You can solve multiplication problems through repeated or fast addition.

The product of following number is 0.15×3=0.45

The product. More generally, it is possible to take the product 0.45

Page 30 Exercise 6 Answer

Given:0.42×2.

Hence, We have to find the product of the given expression.

Firstly, Starting in the right-hand column(units) multiply then, Next, we multiply the same number by the next number across.

To multiply decimals, first, multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor.

From the given expression that is, 0.42×2

Can be written as, ​0.42 ×2 = 0.84

​The product of0.42×2 is 0.84.

Page 30 Exercise 7 Answer

Given:0.04×8.

Hence, We have to find the product of the given expression.

Starting in the right-hand column(units) multiply then, Next, we multiply the same number by the next number across.

And, to multiply decimals, first, multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor.

From the given expression that is, 0.04×8

Can be written as, ​0.04 ×8 = 0.24

​The product of 0.04×8 is 0.24.

Page 30 Exercise 8 Answer

Given:0.22×4.

Hence, We have to find the product of the given expression.

Starting in the right-hand column(units) multiply then, Next, we multiply the same number by the next number across.

As, to multiply decimals, first, multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor.

From the given expression that is, 0.22×4

Can be written as, ​0.22 × 4 =0.88

​The product of 0.22×4 is 0.88.

Page 30 Exercise 9 Answer

Given:0.2×0.8.

Hence, We have to find the product of the given expression.

Firstly, Starting in the right-hand column(units) multiply then, Next, we multiply the same number by the next number across.

To multiply decimals, first, multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor.

From the given expression that is, 0.2×0.8

Can be written as 0.2 ×0.8 = 0.16

The product of 0.2×0.8 is 0.16.

Page 30 Exercise 10 Answer

Given:0.7×0.9.

Hence, We have to find the product of the given expression.

Starting in the right-hand column(units) multiply then, Next, we multiply the same number by the next number across.

And, to multiply decimals, first, multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor.

From the given expression that is, 0.7×0.9

Can be written as, 0.7 × 0.9 = 0.63

The product of 0.7×0.9 is 0.63.

Page 30 Exercise 11 Answer

Given:0.5×0.5.

Hence, We have to find the product of the given expression.

Starting in the right-hand column(units) multiply then, Next, we multiply the same number by the next number across.

As, to multiply decimals, first, multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor.

From the given expression that is, 0.5×0.5

Can be written as, 0.5 × 0.5 = 0.25

The product of 0.5×0.5 is 0.25.

Page 30 Exercise 12 Answer

Given:0.3×0.6.

Hence, We have to find the product of the given expression.

Firstly, Starting in the right-hand column(units) multiply then, Next, we multiply the same number by the next number across.

To multiply decimals, first, multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor.

From the given expression that is, 0.3×0.6

Can be written as, 0.3 × 0.6 = 0.18

The product of 0.3×0.6 is 0.18.

Page 30 Exercise 13 Answer

Given:0.5×0.2.

Hence, We have to find the product of the given expression.

Starting in the right-hand column(units) multiply then, Next, we multiply the same number by the next number across.

And, to multiply decimals, first, multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor.

From the given expression that is, 0.5×0.2

Can be written as, 0.5 × 0.2 = 0.10

The product of0.5×0.2 is 0.10.

Page 30 Exercise 14 Answer

Given:0.4×0.4.

Hence, We have to find the product of the given expression.

Starting in the right-hand column(units) multiply then, Next, we multiply the same number by the next number across.

As, to multiply decimals, first, multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor.

From the given expression that is, 0.4×0.4

Can be written as, 0.4 × 0.4 = 0.16

The product of 0.4×0.4 is 0.16.

Page 30 Exercise 15 Answer

Given:0.1×0.9.

Hence, We have to find the product of the given expression.

Firstly, Starting in the right-hand column(units) multiply then, Next, we multiply the same number by the next number across.

To multiply decimals, first, multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor.

From the given expression that is, 0.1×0.9

Can be written as 0. 1 × 0.9= 0.09

The product of0.1×0.9 is 0.09.

Page 30 Exercise 16 Answer

Given:0.4×0.7.

Hence, We have to find the product of the given expression.

Starting in the right-hand column(units) multiply then, Next, we multiply the same number by the next number across.

And, to multiply decimals, first, multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor.

From the given expression that is, 0.4 × 0.7 Can be written as, 0.4 × 0.7 = 0.21

The product of 0.4×0.7 is 0.28.

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