In this lesson, we will learn how to use rounding and compatible numbers to estimate the quotient when the divisor is a three-digit number.

Students will be able to

Q1:

Hannah 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?

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

Why?

Q2:

We want to divide 6025 by 241 using the standard division algorithm.

What result do you expect?

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

What is the value of 𝑎?

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

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

The diagram below shows the second stage of the division algorithm. The number 𝑑 is between 1 and 9 and represents the number of 241s in 1205. What are the values of 𝑑,𝑒, and 𝑓?

Q3:

Mrs. Anthony 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?

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