# 3.04 Estimation first

Lesson

## Are you ready?

Do you remember how to  round numbers  ? Give this problem a try.

### Examples

#### Example 1

Round 54 to the nearest ten.

Worked Solution
Create a strategy

Find which tens the number is closest to using number lines.

Apply the idea

Looking at the number line below, 54 is closer to 50 than to 60.

So 54 rounded to the nearest ten is 50.

Idea summary

We can use number lines to help when rounding numbers. By putting the number in our question on a number line, we can see the closest number.

## Estimation first addition

Let's see how we can estimate the answer to an addition problem by rounding the numbers first.

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### Examples

#### Example 2

Choose the right answer.

143 + 33 will be in the:

A
100s
B
200s
Worked Solution
Create a strategy

Round each number to the nearest ten using a number line then use estimation.

Apply the idea

143 is plotted on the number line below:

We can see it is closer to 140 than 150.

33 is plotted on the number line below:

We can see it is closer to 30 than 40.

So we can estimate the value of 143+33 by finding the value of 140+30 on the number line.

By jumping to the right by 30 we get an estimation of 170. Since this number is in the 100s, the answer is option A.

Idea summary

Once we round the numbers in our question, we can then add them together to get an estimate of our answer.

### Outcomes

#### MA2-5NA

uses mental and written strategies for addition and subtraction involving two-, three-, four and five-digit numbers