What Does Decompose Mean in Math?

What Does Decompose Mean in Math
••• AndreyCherkasov/iStock/GettyImages

When elementary teachers talk about decomposition in math, they are referring to a technique that helps students understand place value and solve math problems more easily. It can be found in alternative formulas for problem solving as well as standard algorithms such as prime factorization.

Decomposition and Place Value

Decomposition is a useful tool for emphasizing the differing values of digits in a number. The number "362" can be broken down into 300 plus 60 plus 2 by decomposing it into hundreds, tens and ones.

Decomposition and Problem Solving

To decompose in basic operations, such as addition, subtraction, multiplication and division, means to take numbers apart in a problem to make it easier to understand and solve. Most elementary math programs teach an addition formula called "partial sums," which is based on decomposition.

Partial Sums Addition

When adding large numbers, such as 2,156 plus 3,421, it often helps to break the calculation apart and put the pieces together by place value. First, add the thousands to get 5,000. Second, put together the hundreds to gain 500. Third, combine the tens to form 70 and the ones to make 7. Finally, add all these partial sums together to solve the problem: 5,000 plus 500 plus 70 plus 7 equals 5,577.

Prime Decomposition

Around sixth grade, students learn the decomposition process of prime factorization, which helps in solving problems related to fractions. Primes are numbers that can only be divided by 1 or by themselves, such as 2, 3 and 5. The number 180, for example, can be decomposed into 2 times 2 times 3 times 3 times 5.

Related Articles

What Are Addends in Math Addition Problems?
Basic Mathematics Skills
How to Convert Mixed Numbers and Improper Fractions
What Is a Mathematical Expression?
Compatible Numbers for Third Grade Math
How to Evaluate Fractions
How to Factorise a Quadratic Expression
How to Convert a Fraction to a Ratio
How to Solve for Slope in Algebra 1
How to Calculate Exponents
How to Factor Binomial Cubes
How to Factor Polynomials With Fractions
Importance of Addition in Kindergarten
What Is the Square Root Method?
How to Do Discount Math Problems
How to Find the Range of Numbers
Tips For Solving Quadratic Equations
How to Factor Polynomials with Coefficients
How to Divide Fractions With Ease
How to Estimate Division Problems