Compatible numbers
Compatible with what?
As five seconds with google would have revealed,
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.
Compatible numbers are numbers that are easy to work with mentally in mathematical calculations. They are used to approximate or simplify calculations and make them more manageable.
Here's how you can identify compatible numbers:
1. Look for numbers that end in zeros: Numbers that end in zeros, such as 10, 20, 30, etc., are often compatible with each other. For example, if you have to multiply 25 by 20, you can estimate it as 25 times 10 (which is 250) and then double the result.
2. Round numbers: Rounding numbers to the nearest ten, hundred, or thousand can make calculations easier. For instance, if you need to add 237 and 369, you can round them to 240 and 370, which simplifies the calculation.
3. Use multiples of 10: Multiples of 10, like 10, 100, or 1000, are often compatible with each other. If you need to divide 450 by 50, you can think of it as dividing 450 by 100 (which is 4.5) and halving the result.
4. Simplify fractions: When working with fractions, you can find compatible numbers by simplifying them. For example, if you want to add 1/2 and 1/4, you can convert 1/2 to 2/4 and then add the numerators to get 3/4.
Overall, compatible numbers help you simplify calculations and provide quick estimates without the need for precise calculations. They are a useful tool in mental math and help make math problems more approachable.