# Worksheet: Estimating Quotients with Decimals

In this worksheet, we will practice estimating the division of up to four-digit numbers by three-digit numbers by rounding or using compatible numbers.

**Q1: **

Mariam 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?

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

**Q2: **

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

What result do you expect?

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

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.Adel is arranging a school 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?