This handy **Spectrum Math Grade 4 Answer Key Chapter 5 Pretest** provides detailed answers for the workbook questions.

## Spectrum Math Grade 4 Chapter 5 Pretest Answers Key

**Check What You Know**

**Divide.**

Question 1.

a.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: 15 is divisible by 3, as we know that 3 × 5 = 15 so, we go for it.

Step 3: Write 5 in the quotient.

b.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: 49 is divisible by 7, as we know that 7 × 7 = 49 so, we go for it.

Step 3: Write 7 in the quotient.

c.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: 27 is divisible by 9, as we know that 9 × 3 = 27 so, we go for it.

Step 3: Write 3 in the quotient.

d.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: 45 is divisible by 5, as we know that 5 × 9 = 45 so, we go for it.

Step 3: Write 9 in the quotient.

e.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: 21 is divisible by 7, as we know that 7 × 3 = 21 so, we go for it.

Step 3: Write 3 in the quotient.

Question 2.

a.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: 18 is divisible by 3, as we know that 3 × 6 = 18 so, we go for it.

Step 3: Write 6 in the quotient.

b.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: 42 is divisible by 7, as we know that 7 × 6 = 42 so, we go for it.

Step 3: Write 6 in the quotient.

c.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: 81 is divisible by 9, as we know that 9 × 9 = 81 so, we go for it.

Step 3: Write 9 in the quotient.

d.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: 56 is divisible by 7, as we know that 7 × 8 = 56 so, we go for it.

Step 3: Write 8 in the quotient.

e.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: 30 is divisible by 3, as we know that 3 × 10 = 30 so, we go for it.

Step 3: Write 10 in the quotient.

Question 3.

a.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: 36 is divisible by 4, as we know that 4 × 9 = 36 so, we go for it.

Step 3: Write 9 in the quotient.

b.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: 16 is divisible by 4, as we know that 4 × 4 = 16 so, we go for it.

Step 3: Write 4 in the quotient.

c.

Answer:

Step 1: The first digit of the dividend is divisible by the divisor. 4 is divisible by 4 as we know, 4×1=4.

Step 2: Write 1 in the quotient. Bring down the second digit, now 6 is the dividend. As we know that 4×1=4 so, we go for it.

Step 3: Write 11 in the quotient.

d.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: 10 is divisible by 2, as we know that 2 × 5 = 10 so, we go for it.

Step 3: Write 5 in the quotient.

e.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: 36 is divisible by 6, as we know that 6 × 6 = 36 so, we go for it.

Step 3: Write 6 in the quotient.

Question 4.

a.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: 18 is divisible by 9, as we know that 9 × 2 = 18 so, we go for it.

Step 3: Write 2 in the quotient.

b.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: 35 is divisible by 5, as we know that 5 × 7 = 35 so, we go for it.

Step 3: Write 7 in the quotient.

c.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: 28 is divisible by 7, as we know that 7 × 4 = 28 so, we go for it.

Step 3: Write 4 in the quotient.

d.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: 6 is divisible by 2, as we know that 2 × 3 = 6 so, we go for it.

Step 3: Write 3 in the quotient.

e.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: 24 is divisible by 4, as we know that 4 × 6 = 24 so, we go for it.

Step 3: Write 6 in the quotient.

Question 5.

a.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: 87 is not divisible by 9, as we know that 9 × 9 = 81 so, we go for it. Subtract 87-81=6

Step 3: Write 9 in the quotient.

b.

Answer:

Step 1: The first digit of the dividend is divisible by the divisor.

Step 2: 77 is divisible by 7, as we know that 7 × 11 = 77 so, we go for it.

Step 3: Write 11 in the quotient.

c.

Answer:

Step 1: The first digit of the dividend is more than the divisor.

Step 2: We know that 2 × 2 = 4 so, we go for it. Write 2 in the quotient and subtract 5-4=1.

Step 3: Bring down the next dividend, now it will be 10. 10 is divisible by 2, we know that 2×5=10.

Step 3: Write 2 in the quotient. Now the quotient will be 25 and remainder will be 0.

d.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: 17 is not divisible by 2, as we know that 2 × 8 = 50 so, we go for it.

Step 3: Write 25 in the quotient.

e.

Answer:

Step 1: The first digit of the dividend is more than the divisor. 9 is divisble by 3. We know that 3 × 3 = 9. Subtract 9 – 9 = 0.

Step 2: Write 3 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 0, as we know that 3 × 0 = 0 so, we go for it.

Step 3: Write 0 in the quotient. Bring down the next digit of the dividend. So, we ahve 0 as dividend, as we know that 3 × 0 = 0 so, we go for it.

Step 4: Write 0 in the quotient. Now the quotient will be 300 and 0 will be the remainder.

Question 6.

a.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: 45 is divisible by 3, as we know that 3 × 15 = 45 so, we go for it.

Step 3: Write 15 in the quotient.

b.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: 10 is divisible by 5, as we know that 5 × 2 = 10 so, we go for it. Subtract 10-10=0

Step 3: Write 2 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 5, as we know that 5 × 1 = 5 so, we go for it. Subtract 5-5=0

Step 4: Write 1 in the quotient. Thus, the quotient will be 21 and remainder will be 0.

c.

Answer:

Step 1: The first digit of the dividend is more than the divisor. 5 is divisble by 1. We know that 5 × 1 = 5. Subtract 5 – 5 = 0.

Step 2: Write 1 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 0, as we know that 5 × 0 = 0 so, we go for it.

Step 3: Write 0 in the quotient. Bring down the next digit of the dividend. So, we ahve 0 as dividend, as we know that 5 × 0 = 0 so, we go for it.

Step 4: Write 0 in the quotient. Now the quotient will be 100 and 0 will be the remainder.

d.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: We now that 8×9=72, so we go for it. Write 9 in the quotient. Subtract 78-72=6.

Step 3: Thus, the remainder is 6 and quotient will be 9.

e.

Answer:

Step 1: The first digit of the dividend is more than the divisor.

Step 2: We know that 3 × 2 = 6 so, we go for it. Write 2 in the quotient and subtract 6-6=0.

Step 3: Bring down the next dividend, now it will be 8. We know that 3×2=6. Subtract 8-6=2

Step 3: Write 2 in the quotient. Now the quotient will be 22 and remainder will be 2.

Question 7.

a.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: We know that 5 × 4 = 20 so, we go for it. Subtract 22-20=2.

Step 3: Write 4 in the quotient. Bring down the next digit of the dividend. Now, the dividend will be 1 which is less than the divisor, bring down the next digit of the dividend. Now consider the next digit to proceed with the division.

Step 3: Now the dividend will be 21. We know that 5 × 4 = 20 so, we go for it. Subtract 21-20=1

Step 4: Write 4 in the quotient. Now the dividend will be 14. We know that 5 × 2 = 10 so, we go for it. Subtract 14-10=4

Thus, the quotient will be 442 and remainder will be 4.

b.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: We now that 6×2=12, so we go for it. Write 2 in the quotient. Subtract 12-12=0. Next dividend will be , which is less than the divisor. So, write 0 in the quotient. Subtract 1-0=1

Step 3: Thus, the remainder is 1 and quotient will be 20.

c.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: We now that 7×8=56, so we go for it. Write 9 in the quotient. Subtract 62-56=6.

Step 3: Thus, the remainder is 6 and quotient will be 8.

d.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: We now that 7×3=22, so we go for it. Write 9 in the quotient. Subtract 22-21=1.

Step 3: Thus, the remainder is 1 and quotient will be 3.

e.

Answer:

Step 1: Since the first digit of the dividend is less than the divisor, bring down the next digit of the dividend. Now consider the first 2 digits to proceed with the division.

Step 2: We know that 5×9=45, so we go for it. Write 9 in the quotient. Subtract 46-45=1.

Step 3: Now the dividend will be 19, we know that 5×3=15, subtract 19-15=4. Write 3 in the quotient.

Step 4: Now the dividend will be 43, we know that 5×8=40, subtract 43-40=3. Write 8 in the quotient.

Step 3: Thus, the remainder is 3 and quotient will be 938.

**Solve each problem. Show your work.**

Question 8.

Lori found 42 shells at the beach. She gave the same number of shells to 7 of her friends. How many shells did she give to each friend?

She gave __________ shells to each friend.

Answer:

Given that Lori found 42 shells at the beach. She gave the same number of shells to 7 of her friends.

To know the count of shells she would have given, divide 42÷7=6

Thus, she gave 6 shells to each friend.

Question 9.

The drama club is giving a party in the school lunchroom. The club wants to be seated in groups of 8. If 64 students go to the party, how many groups of students will there be?

There will be _______________ groups of students.

Answer:

Given that: The drama club is giving a party in the school lunchroom. The club wants to be seated in groups of 8 and 64 students will be attending the party.

To know the group of students, divide 64÷8=8

Thus, there will be 8 groups of students.

Question 10.

The Pancake Restaurant served 32 pancakes. If 8 customers ate an equal number of pancakes, how many did each person eat?

Each person ate _______________ pancakes.

Answer:

Given that: The Pancake Restaurant served 32 pancakes and 8 customers ate an equal number of pancakes.

To know the count of pancake each customer had, divide 32÷8=4

Thus, each person ate 4 pancakes.

Question 11.

The school spirit club baked cakes for a charity event. There were 75 different cakes and 5 bakers. Each baker baked the same number of cakes. How many cakes did each baker make?

Each baker made ______________ cakes.

Answer:

Given that: The school spirit club baked cakes for a charity event. There were 75 different cakes and 5 bakers. Each baker baked the same number of cakes.

To get the count of cakes reach baker had baked, divide 75÷5=15

Each baker made 15 cakes.

Question 12.

The Fish Shop is open 72 hours a week. The shop is open 6 days a week and the same number of hours each day. How many hours each day is the shop open?

The shop is open _____________ hours a day.

Answer:

Given that: The Fish Shop is open 72 hours a week. The shop is open 6 days a week and the same number of hours each day.

To get the number of open hours, divide 72÷6=12

The shop is open 12 hours a day.

Question 13.

The glee club needs to sell 382 tickets to win a tip. If there are 8 members who want to go on the trip, how many tickets does each member need to sell? How many extra tickets are left?

Each member needs to sell _____________ tickets.

There will be ______________ extra tickets.

Answer:

Given that: The glee club needs to sell 382 tickets to win a tip and there are 8 members who want to go on the trip.

To get the required numbers, divide 382÷8, the number of tickets to be sold will be the quotient and the remainedr will be the extra tickets.

382÷8, divisor will be 87.