Compatible Numbers

Compatible numbers are numbers that are easy to work with mentally. When performing calculations, using compatible numbers can make the process faster and more efficient.

How to Identify Compatible Numbers

Compatible numbers are usually numbers that are close to each other and easy to work with when performing calculations. For example, 25 and 5 are compatible numbers because they are both multiples of 5 and are easy to work with when dividing or multiplying.

Uses of Compatible Numbers

Compatible numbers are useful in estimation, mental math, and when rounding numbers. When performing calculations, using compatible numbers can make the process faster and more efficient. For example, when adding 47 and 53, you can round both numbers to 50 and 50, making the mental calculation easier.

Study Guide

Identify compatible numbers: Look for numbers that are easy to work with and are close to each other.
Estimation: Practice using compatible numbers to estimate the results of calculations.
Mental math: Use compatible numbers to perform mental calculations more efficiently.
Rounding: Practice rounding numbers to compatible numbers to simplify calculations.

By understanding and practicing with compatible numbers, you can improve your mental math skills and make calculations easier and faster.

◂Math Worksheets and Study Guides Seventh Grade. Fraction Operations

Create And Print more Fractions worksheets with Comparing Fractions, Equivalent Fractions, and Simplifying Fractions

The resources above cover the following skills:

Number and Operations (NCTM)

Compute fluently and make reasonable estimates.

Develop and analyze algorithms for computing with fractions, decimals, and integers and develop fluency in their use.

Grade 7 Curriculum Focal Points (NCTM)

Number and Operations and Algebra: Developing an understanding of operations on all rational numbers and solving linear equations

Students extend understandings of addition, subtraction, multiplication, and division, together with their properties, to all rational numbers, including negative integers. By applying properties of arithmetic and considering negative numbers in everyday contexts (e.g., situations of owing money or measuring elevations above and below sea level), students explain why the rules for adding, subtracting, multiplying, and dividing with negative numbers make sense. They use the arithmetic of rational numbers as they formulate and solve linear equations in one variable and use these equations to solve problems. Students make strategic choices of procedures to solve linear equations in one variable and implement them efficiently, understanding that when they use the properties of equality to express an equation in a new way, solutions that they obtain for the new equation also solve the original equation.