# Estimation Word Problems

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Team Digital

## Basics on the topicEstimation Word Problems

Learn about how to use estimation to solve word problems with Mr Squeaks and Imani!

## Estimation Word Problems exercise

Would you like to apply the knowledge you’ve learnt? You can review and practice it with the tasks for the video Estimation Word Problems.
• ### How can you use estimation to help check a word problem?

Hints

In any process, the first step is always to look at, observe or read the information.

We would decide to use rounding and/or known facts before mental maths.

Solution

When using estimation in word problems:

• First read, then re-read the problem to identify the important information.
• Next, use rounding or known facts.
• Then, use mental maths to find an estimate.
• Finally compare the estimate to the original answer to determine if it is reasonable or not.

• ### Is the answer reasonable, or not?

Hints

When rounding, round to the closest 5 or 10.
Examples:
17 becomes 20.
63 becomes 65.

Compare your estimation to the original answer to determine if it is reasonable or not.

If there is a large difference, more than 20 or so, then it is not reasonable.

Solution
• Zuri collected 6 boxes with 24 cans in each.
24 can be rounded up to 25.
6 x 25 = 150

• Freddie collected 4 boxes with 37 cans in each.
37 can be rounded up to 40.
4 x 40 = 160

• Freddie has about 160 cans.
160 - 150 = 10
Freddie has about 10 more cans than Zuri.

• Freddie's claim that he collected 292 more cans than Zuri is not reasonable.
• ### How could we use estimation to check this problem?

Hints

When rounding, estimate to the closest 5 or 10.
Examples:
17 becomes 20.
63 becomes 65.

Each of Bill's 23 guests receives 2 small toys.
This suggests we need to multiply to find the correct answer.

Solution
• Bill invited 23 guests, so round 23 up to 25.
• Bill wants to give 2 small toys to each guest, so multiply 25 by 2.
• 2 x 25 = 50.
• ### Solve the word problem using estimation.

Hints

When rounding, round to the closest 5 or 10.
Examples:
17 becomes 20.
63 becomes 65.

Compare your estimation to the original answer to determine if it is reasonable or not.

If there is a large difference, more than 20 or so, then it is not reasonable.

Solution

1) £5.85 can be rounded down to £5.00.

£14.90 can be rounded up to £15.00.

2) £5.00 x 11 = £55.00.

£15.00 x 10 = £150.00.

3) £55.00 + £150.00 = £205.00.

Marie's guess of £400.00 for flowers is not reasonable.

• ### What would be a reasonable answer?

Hints

When rounding, round to the closest 5 or 10.
Examples:
17 becomes 20.
63 becomes 65.

We can round £4.89 to £5.00.

We then need to multiply £5.00 x 8 to get a reasonable estimate.

Solution

£4.89 can be rounded to £5.00.

We can then multiply £5.00 x 8 to get £40.00.

£40.00 is a reasonable estimate for the total cost.

• ### Use estimation to solve the word problem.

Hints

When rounding, round to the closest 5 or 10.
Examples:
17 becomes 20.
63 becomes 65.

To find how many pens Drew needs in total, multiply 10 (each person gets 10 pens) by the number of people who need them. Use the rounded number.

To find how many packs of pens Drew needs, take the total number of pens needed and divide by 5 (there are 5 pens in each pack).

For the final question, write either 'reasonable' or 'not reasonable'.

Solution
• 4 people can be rounded up to 5.
• 10 pens x 5 people = 50.
• 50 pens ÷ 5 = 10.
• Drew's guess that he needs 10 packs of pens is reasonable.