# Worksheet: Estimating Quotients: Three-Digit Divisors

In this worksheet, we will practice using rounding and compatible numbers to estimate the quotient when the divisor is a three-digit number.

**Q1: **

Daisy is saving up to buy a bike that costs $99. She gets $12 each week in pocket money. How many weeks will she have to wait until she has enough money to buy the bike?

Which calculation will help us answer this question?

- A
- B
- C
- D
- E

To find the number of weeks she has to wait, should we ignore the remainder or round it up?

- ARound it up
- BIgnore it

Why?

- ABecause she does not need to wait any further weeks.
- BBecause she needs to wait another week to earn the remaining $3.
- CDo NOT use the congruence symbol.
- DBecause the remainder is less than $99.
- EBecause the remainder is less than $5.

**Q2: **

We want to divide by 241 using the standard division algorithm.

What result do you expect?

- Aaround 2
- Baround 3
- Caround 200
- Daround 30
- Earound

The diagram below shows the first stage of the division algorithm. The digit (between 1 and 9) represents how many 241s there are in 602 tens. What is the place value of in the quotient?

- Atens
- Bthousands
- Cunits
- Dhundreds
- Eten thousands

What is the value of ?

- A
- B
- C
- D
- E

We have found that there are two 241s in 602 or 241 times 2 tens in 602 tens. The number is 2 times 241 tens. Which of the following is true?

- A
- B
- C
- D
- E

The number is the remainder of the previous division. Which of the following is true?

- A
- B
- C
- D
- E

The diagram below shows the second stage of the division algorithm. The number is between 1 and 9 and represents the number of 241s in . What are the values of , and ?

- A
- B
- C
- D
- E

**Q3: **

Mrs. Noah is arranging a field trip for her class of 32 students. She will be going herself along with three other teachers. She decides to use a company whose buses seat 15 people each. How many buses will she need to book?