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

**Page 31 Problem 1 Answer**

Given: 3.6 divided by 1.2.

Hence, We have to find a quotient by using a decimal grid.

Firstly, We will use10×10 a grid where one column represents 0.1 unit.

Then, we divide the grid according to the given expression.

From the given expression that is 3.6/1.2, Therefore, the decimal g

Where red lines represent 3.6 value. As one column is of 0.1 unit.

Then we divide1.2 according to the red line. As yellow, light green, and dark green represent 1.2 unit.

So, we get 3 equal parts of 3.6 according to 1.2. The value of 3.6/1.2 is 3.

**Page 31 Problem 2 Answer**

Given: 3.27divided by 3.0.

Hence, We have to find a quotient by using a decimal grid.

Firstly, We will use10×10 a grid where one column represents 0.1 unit.

Then, we divide the grid according to the given expression.

From the given expression that is 3.27/3.0,

Therefore, the decimal grid is,

Here red lines represent 3.27 value. As one column is of 0.1 unit.

Then we divide3.0 according to the red line. As yellow represent 3.0 unit which gives only one part.

And, rest parts that are dark green and the light green represents 0.3 unit which gives 9 and its value is 0.9.

So, We get 1.09 equal parts of 3.27 according to 3.0 The value of 3.27/3.0 is 1.09.

**Page 31 Problem 3 Answer**

Given: 142.5/9.5. Hence, We have to find a quotient.

Firstly, We will simply the given expression then, by using the long division method we solve the given expression.

From the expression that is 142.5/9.5, Change the divisor to a whole number by moving the decimal point one place to the right.

Then move the decimal point in the dividend the same, one place to the right.

We then have, 1452/95 =15.000

By using the long division method we get,

The quotient of 142.5/9.5 is 15.0.

**Page 31 Problem 4 Answer**

Given:39.6/3. Hence, We have to find a quotient.

We will use the long division method we solve the given expression.

From the expression that is, 39.6/3 = 13.2

By using the long division method we get,

The quotient of 39.6/3 is 13.2

**Page 31 Problem 5 Answer**

Given:10.88/2. Hence, We have to find a quotient.

We will use the long division method we solve the given expression.

From the expression that is, 10.88/2 = 5.44

By using the long division method we get,

The quotient of 10.88/2 is 5.44.

**Page 31 Problem 6 Answer**

Given:10.5/1.5. Hence, We have to find a quotient.

Firstly, We will simply the given expression then,

By using the long division method we solve the given expression.

From the expression that is 10.5/1.5, Change the divisor to a whole number by moving the decimal point one place to the right.

Then move the decimal point in the dividend the same, one place to the right.

We then have,105/15 = 7.0

By using the long division method we get,

The quotient of10.5/1.5 is 7.0.

**Page 31 Problem 7 Answer**

Given:9.75/1.3. Hence, We have to find a quotient.

Firstly, We will simply the given expression then, by using the long division method we solve the given expression.

From the expression that is 9.75/1.3, Change the divisor to a whole number by moving the decimal point one place to the right.

Then move the decimal point in the dividend the same, one place to the right.

We then have, 97.5/13 = 7.50

By using the long division method we get,

The quotient of 9.75/1.3 is 7.50.

**Page 31 Problem 8 Answer**

Given: 37.5/2.5. Hence, We have to find a quotient.

Firstly, We will simply the given expression then, By using the long division method we solve the given expression.

From the expression that is 37.5/2.5, Change the divisor to a whole number by moving the decimal point one place to the right.

Then move the decimal point in the dividend the same, one place to the right.

We then have, 37.5/2.5 = 15.0

By using the long division method we get,

The quotient of 37.5/2.5 is 15.0.

**Page 31 Problem 9 Answer**

Given: 3.78/0.9.

Hence, We have to find a quotient.

Firstly, We will simply the given expression then, by using the long division method we solve the given expression.

From the expression that is 3.78/0.9.

Change the divisor to a whole number by moving the decimal point one place to the right.

Then move the decimal point in the dividend the same, one place to the right.

We then have, 37.8/9 = 4.20

By using the long division method we get,

The quotient of 3.78/0.9 is 4.20.

**Page 31 Problem 10 Answer**

Given: We have a division question.To find: We have to first estimate the result and then find the accurate result.We will divide to get the result.

We will round off the divisor and dividend to the nearest whole number if necessary.

The divisor will divide the dividend evenly and we will get the estimated result. 2.5 round off to 3. We get, 36/3 = 12

Firstly, we will remove the decimal point from the denominator of the division expression and we get the result as 36/2.5 = 360/25

The long division is

The estimated result is12

The accurate result is14.4

**Page 31 Problem 11 Answer**

Given: We have a division question.To find: We have to first estimate the result and then find the accurate result.We will divide to get the result.

We will first multiply both of them by ten. We get,7/0.25=70/2.5

We will round off the divisor and dividend to the nearest whole number if necessary.

The divisor will divide the dividend evenly and we will get the estimated result. After rounding them off, we get 72/3 = 24

Firstly, we will remove the decimal point from the denominator of the division expression by multiplying both the denominator and numerator by 100.

We get, 7/0.25= 700/25

The long division is

The estimated result is 24

The accurate result is28

**Page 31 Problem 12 Answer**

Given: We have a division question.To find: We have to first estimate the result and then find the accurate result.We will divide to get the result.

We will round off the divisor and dividend to the nearest whole number if necessary. The divisor will divide the dividend evenly and we will get the estimated result.

After rounding them off, we get 142.5/9.5≈140/10 =14

Firstly, we will remove the decimal point from the denominator of the division expression by multiplying both the denominator and numerator by 10.

We get, 142.5/9.5=1425/95

The long division is

The estimated result is14

The accurate result is15

**Page 31 Problem 13 Answer**

Given: We have that a telescope photographs a star’s image once every 0.045s

To find: We have to find the complete images can the camera capture in 3s We will divide and get the required answer.

Firstly, we will remove the decimal point from the denominator of the division expression by multiplying both the denominator and numerator by 1000.

We get, 3/0.045 = 3000/45

The number of complete images that the camera can capture in 3s is

As we want the number of complete images that the camera can capture, we get 66

The number of complete images that the camera can capture is 66

**Page 31 Problem 14 Answer**

Given: We have that land along a fault line moved 24.8cm over the past 175 years.

To find: We have to find how much did the land move each year. We will divide the total movement of the land and get the result by the total number of years.

Firstly, we will remove the decimal point from the denominator of the division expression by multiplying both the denominator and numerator by 10.

We get, 24.8/175 = 248/1750

Each year the land along the fault line moves,

We will take the first three digits after decimals. The result is 0.141cm

The land moves each year by 0.141cm

**Page 32 Exercise 1 Answer**

Given: We have a division question.To find: We have to find the quotient.We will divide to get the result.

Firstly, we will remove the decimal point from the denominator of the division expression by multiplying both the denominator and numerator by 10.

We get, 0.6/5=6/50 After division, we get

The quotient of the given division is 0.12

**Page 32 Exercise 2 Answer**

Given: We have a division question.

To find: We have to find the quotient.We will divide to get the result.

Firstly, we will remove the decimal point from the denominator of the division expression by multiplying both the denominator and numerator by 100.

We get, 0.78/6 = 78/600

After division, we get

The quotient of the given division is0.13

**Page 32 Exercise 3 Answer**

Given: We have a division question.To find: We have to find the quotient.We will divide to get the result.

Firstly, we will remove the decimal point from the denominator of the division expression by multiplying both the denominator and numerator by 100.

We get, 0.32/4=32/400 After division, we get

The quotient of the given division is0.08

**Page 32 Exercise 4 Answer**

Given: We have a division question.To find: We have to find the quotient.We will divide to get the result.

Firstly, we will remove the decimal point from the denominator of the division expression by multiplying both the denominator and numerator by 1000.

We get, 0.99/0.0033 = 9900/33 After division, we get

The quotient of the given division is300

**Page 32 Exercise 5 Answer**

We get, 0.08/0.4 = 8/40 After division, we get

The quotient of the given division is 0.2

**Page 32 Exercise 6 Answer**

We get, 0.63/0.9 = 63/90 After division, we get

The quotient of the given division is 0.7

**Page 32 Exercise 7 Answer**

Firstly, we will remove the decimal point from the denominator of the division expression by multiplying both the denominator and numerator by 1000.

We get, 0.4/0.008 = 400/8 After division, we get

The quotient of the given division is50

**Page 32 Exercise 8 Answer**

We get, 0.032/0.04 = 32/40 After division, we get

The quotient of the given division is 0.8

**Go Math Answer Key**

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- Go Math! Practice Fluency Workbook Grade 6 Chapter 5: Operations with Decimals Exercise 5.1 Answer Key
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- Go Math! Practice Fluency Workbook Grade 6 Chapter 8: Percents Exercise 8.2 Answer Key
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