All the solutions provided in **McGraw Hill Math Grade 5 Answer Key PDF Chapter 3 Lesson 10 Quotients with Zeros** will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 5 Answer Key Chapter 3 Lesson 10 Quotients with Zeros

Example 1

Maya is saving to buy a television. The television costs $327. She plans to save money for 3 months. How much does Maya need to save each month to buy the television?

Let m represent the amount Maya needs to save each month. Find the unknown in the equation $327 ÷ 3 = m.

1. Divide the hundreds.

2. Divide the tens.

There are not enough tens to divide.

Place a 0 in the quotient.

3. Regroup the two tens as twenty ones. There are now 27 ones.

4. Divide the ones.

So, $327 ÷ 3 = ___. Since m = ___, Maya needs to save each month.

Check for Reasonableness Compare to the estimate ____ ≈ ____

Answer:

$109

Explanation:

Divide the hundreds.

300 ÷ 3 = 100

2. Divide the tens.

There are not enough tens to divide.

Place a 0 in the quotient.

Regroup the two tens as twenty ones. There are now 27 ones.

4. Divide the ones.

So, $327 ÷ 3 = 109.

Since m = 109, Maya needs to save each month.

Example 2

Find 5,231 ÷ 4.

1. Divide the thousands. Divide the hundreds.

2. Divide the hundreds.

3. Divide the tens.

There are not enough tens to divide. Place a 0 in the tens place.

4. Divide the ones.

The remainder is ____

So, 5,231 ÷ 4 = ____

Check Use multiplication to check your answer.

_____ × 4 = ____ and 5,228 + ____ = 5,231

Answer:

Quotient = 1307

Remainder = 3

Explanation:

Divide the thousands.

5000 ÷ 4 = 1250

Divide the hundreds.

200 ÷ 4 = 50

Divide the tens.

There are not enough tens to divide. Place a 0 in the tens place.

Divide the ones.

The remainder is 3

So, 5,231 ÷ 4 = 1307

Check Use multiplication to check your answer.

1307 × 4 = 5228

5,228 + 3 = 5,231

**Guided Practice**

Question 1.

Divide.

Answer:

Quotient = 210

Remainder = 2

Explanation:

Divide the hundreds.

800 ÷ 4 = 200

Divide the tens.

40 ÷ 4 = 10

The remainder is 2.

So, 842 ÷ 4 = 210

Check Use multiplication to check your answer.

210 × 4 = 840

840 + 2 = 842

**Talk Math**

Yolanda wants to find 936 ÷ 9. In which place-value position should she place a zero? Explain.

Answer:

104

Zero should be placed in tens place value.

Explanation:

Check Use multiplication to check your answer.

104 × 9 = 936

**Independent Practice**

**Divide.**

Question 2.

Answer:

209

Explanation:

Divided the hundreds.

400 ÷ 2 = 200

Divide the tens.

There are not enough tens to divide. Place a 0 in the tens place.

Divide the ones.

18 ÷ 2 = 9

So, 418 ÷ 2 = 209

Check Use multiplication to check your answer.

209 × 2 = 418

Question 3.

Answer:

105

Explanation:

Divided the hundreds.

200 ÷ 2 = 100

Divide the tens.

There are not enough tens to divide. Place a 0 in the tens place.

Divide the ones.

10 ÷ 2 = 5

So, 210 ÷ 2 = 105

Check Use multiplication to check your answer.

105 × 2 = 210

Question 4.

Answer:

1081

Explanation:

Divided the thousands.

4000 ÷ 4 = 1000

Divide the hundreds.

300 ÷ 4 = 75

Divided the tens.

20 ÷ 4 = 5

Divide the ones.

4 ÷ 14 = 1

So, 4,324 ÷ 4 = 1081

Check Use multiplication to check your answer.

1081 × 4 = 4324

Question 5.

Answer:

Quotient = 13

Remainder = 2

Explanation:

Question 6.

Answer:

Quotient = 3,106

Remainder = 1

Explanation:

Divided the thousands.

6000 ÷ 2 = 3000

Divide the hundreds.

200 ÷ 2 = 100

Divided the tens.

There are not enough tens to divide. Place a 0 in the tens place.

Divide the ones.

Remainder is 1.

Question 7.

Answer:

2,064

Explanation:

Divided the thousands.

6000 ÷ 3 = 2000

Divide the hundreds.

There are not enough hundreds to divide. Place a 0 in the tens place.

Divided the tens.

19 ÷ 3 = 6

Divide the ones.

Question 8.

840 ÷ 7 = ____

Answer:

120

Explanation:

Question 9.

627 ÷ 3 = ____

Answer:

209

Explanation:

Divided the hundreds.

600 ÷ 3 = 200

Divide the tens.

There are not enough hundreds to divide. Place a 0 in the tens place.

Divide the ones.

Question 10.

5,330 ÷ 5 = ____

Answer:

1066

Explanation:

Divided the thousands.

5000 ÷ 5 = 1000

Divide the hundreds.

300 ÷ 5 = 60

There are not enough hundreds to divide. Place a 0 in the tens place.

Divided the tens.

30 ÷ 5 = 6

Divide the ones.

Question 11.

8,017 ÷ 9 = ___

Answer:

Quotient = 809

Remainder = 7

Explanation:

Question 12.

413 ÷ 4 = ___

Answer:

Quotient = 103

Remainder = 1

Explanation:

Divided the hundreds.

400 ÷ 4 = 100

Divide the tens.

There are not enough hundreds to divide. Place a 0 in the tens place.

Divide the ones.

Question 13.

9,163 ÷ 3 = ____

Answer:

Quotient = 3045

Remainder = 1

Explanation:

Divided the thousands.

9000 ÷ 3 = 3000

Divide the hundreds.

There are not enough hundreds to divide. Place a 0 in the tens place.

Divided the tens and ones.

**Problem Solving**

Question 14.

**Mathematical PRACTICE 2 Use Algebra** There are 312 fish at the aquarium in 3 different fish tanks. Each tank has the same number of fish. How many fish are in each tank? Write an equation to find the unknown. Then find the unknown.

Answer:

312 ÷ 3 = x

x = 14 fishes.

So, the unknown number is 14.

Explanation:

Total fishes in aquarium = 312

Number of fish tanks 3.

Number of fishes in each tank = x

312 ÷ 3 = x

x = 14 fishes.

So, the unknown number is 14.

Question 15.

There are 1,620 minutes of music to be put on 9 CDs. If the same number of minutes fits on each CD, how many minutes of music fit on each CD?

Answer:

180 minutes.

Explanation:

Number of minutes of music to be put on 9 CDs = 1,620 minutes.

Total number of CDs = 9

Number of minutes of music fit on each CD,

1620 ÷ 9 = 180 minutes.

Question 16.

Gina spent 120 minutes helping her neighbors rake leaves in the last 4 days. She helped the same amount of minutes each day. How many minutes did she rake leaves each day?

Answer:

30 minutes.

Explanation:

Gina spent 120 minutes helping her neighbors rake leaves in the last 4 days.

She helped the same amount of minutes each day.

Number of minutes she rake leaves each day,

120 ÷ 4 = 30 minutes.

**HOT Problems**

Question 17.

**Mathematical PRACTICE** **1** **Keep Trying** Write two division problems that have zeros in the quotient. One of the problems should have a remainder and the other should not.

Answer:

First problem:

There are 9,163 minutes of music to be put on 3 CDs. If the same number of minutes fits on each CD, how many minutes of music fit on each CD?

Second problem:

There are 5,330 minutes of music to be put on 5 CDs. If the same number of minutes fits on each CD, how many minutes of music fit on each CD?

Explanation:

In first problem, the quotient has zero and remainder also as shown below,

In the second problem, the quotient is zero and remainder is also zero as shown below,

Question 18.

**? Building on the Essential Question** How can I know when to place a zero in the quotient?

Answer:

Zero placeholders can be used to continue dividing to get a more accurate quotient.

In long division where the divisor is larger than the current working dividend,

we need to put a zero in the quotient.

### McGraw Hill My Math Grade 5 Chapter 3 Lesson 10 My Homework Answer Key

**Practice**

**Divide.**

Question 1.

Answer:

107

Explanation:

Check Use multiplication to check your answer.

107 × 8 = 856

Question 2.

Answer:

Quotient = 975

Remainder = 1

Explanation:

Check Use multiplication to check your answer.

975 × 3 = 2925

2925 + 1 = 2926

Question 3.

841 ÷ 4 = ____

Answer:

Quotient = 210

Remainder = 1

Explanation:

Check Use multiplication to check your answer.

210 × 4 = 840

840 + 1 = 841