Compatible Numbers - Definition with Examples

The Complete K-5 Math Learning Program Built for Your Child

  • 30 Million Kids

    Loved by kids and parent worldwide

  • 50,000 Schools

    Trusted by teachers across schools

  • Comprehensive Curriculum

    Aligned to Common Core

What is Compatible Numbers?

In mathematics, compatible numbers are the numbers that are easy to add, subtract, multiply, or divide mentally.  Compatible numbers are close in value to the actual numbers that make estimating the answer and computing problems easier. 

We can round the numbers to the nearest ten, hundred, thousand or ten thousand to make them compatible numbers. For instance, if we have to add 493 and 549, we can make the numbers compatible by rounding them up to the nearest tens or hundreds. 490 and 550 (rounded to the nearest tens) or 500 and 500 (rounded to the nearest hundreds) are much easier to solve.
 

So, we know the answer is about 1040 or 1000.

compatible numbers
 
Let us see some examples to understand how we can perform subtraction, multiplication and division using compatible numbers.
 

Subtraction:

Find the difference between 376.5 and 612.2

Here, we cannot find the difference between 376.5 and 612.2 easily as they are not compatible. So, we make the numbers compatible by rounding both the numbers to the nearest tens.

Actual Difference

Difference using Compatible Numbers

subtraction without using compatible numbers

376.5 changes to 380

612.2 changes to 610

  610 - 380 = 230

 

Multiplication:

Find the product of 24.3 and 18.7.

It is difficult to find the product of 24.3 and 18.7 mentally and quickly. So, we use compatible numbers and find the product which is closer to the actual answer.

Actual Product

Product using Compatible Numbers

multiplication without using compatible numbers

24.3 changes to 24

18.7 changes to 20

  24 × 20 = 480

 

Division:

Divide 856 by 33.

To find the answer to 856 ÷ 33, will take us time as we need to divide to get the answer.

However, if we make the numbers compatible, we can mentally find an answer close to the actual answer as shown,

Actual Division

Quotient using Compatible Numbers

division without using compatible numbers

856 changes to  900

 33 changes to 30

   900 ÷ 30 = 30

 

  Fun Facts

  • Compatible numbers help in simplifying the calculation of an estimate only.

 
Won Numerous Awards & Honors
Awards honors badge