Question

On a place-value chart, you use exactly 12 counters to represent one decimal number and exactly 15 counters to represent another decimal number.

When you add the two numbers, you get a number you can represent with only 9 counters.

When you subtract the two numbers, you need more than 9 counters for the result.

• What could your numbers be For adding it be


• Explain how you came up with your numbers and why they work.

Answer 1

The possible number represented by the 9 counter is 27

How to determine the possible number?

The counters are given as:

12 counters and 15 counters

When added, we get a number that can be represented by 9 counters.

This means that:

12 + 15 = 9x

Evaluate the sum

27 = 9x

Divide by 9

x = 3

When subtracted, you need more than 9 counters.

This means that:

x = 15 - 12 = 3

So, we conclude that the number is a multiple of 3 and 9

In other words, the decimal number is a multiple of 9 (i.e. 27)

Hence, the possible number is 27

Read more about place values at:

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