# 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?