# Multiplying Terms in Algebra(KS3, Year 7)

## The Lesson

Terms can be multiplied. Imagine we wanted to multiply the terms 2a and 3b. ## How to Multiply Terms in Algebra

Multiplying terms is easy.

## Question

Multiply the two terms below. # 1

Multiply the numbers that appear in the terms. In our example, the numbers are 2 and 3.
2a × 3b 2 × 3 = 6
6 will appear in the answer: # 2

Multiply the letters that appear in both terms. In our example, no letter appears in both terms.

# 3

Find letters that only appear in one term.
• a only appears in 2a. a will appear in the answer: • b only appears in 3b. b will appear in the answer: # 4

Write the results from the previous steps next to each other. 6 was the result of Step 1. a and b were the result of Step 3. # 5

Check the signs. In our example, both terms are positive, so their product is positive.

## Answer:

We have multiplied the terms together:
2a × 3b = 6ab

## A Real Example of How to Multiply Terms in Algebra

This is a more complicated example.

## Question

Multiply the two terms below. # 1

Multiply the numbers that appear in the terms. In our example, the number is 2 in one term. The other does not appear to have a number, which means it actually has a number of 1.
2ab × −ac2 = 2ab × −1ac2 2 × 1 = 2
2 will appear in the answer: # 2

Multiply the letters that appear in both terms. In our example, a appears in both terms.
2ab × −ac2 a × a = a2
Don't forget: = a × a = a2 (a squared). a2 will appear in the answer: # 3

Find letters that only appear in one term.
• b only appears in 2ab. b will appear in the answer: • c only appears in −ac2. It appears with an exponent of 2: c2 (c squared). c2 will appear in the answer: # 4

Write the results from the previous steps next to each other. 2 was the result of Step 1. a2 was the result of Step 2. b and c2 were the result of Step 3. # 5

Check the signs. In our example, one terms is positive, the other negative. Their product is negative.

## Answer:

We have multiplied the terms together:
2ab × −ac2 = −2a2bc2

## Lesson Slides

The slider below shows a real example of how to multiply terms in algebra. Open the slider in a new tab

## What Is a Term in Algebra?

A term is a collection of numbers, letters and brackets all multiplied together.

## Multiplying the Same Letter Using Exponent Notation

There is a law for multiplying terms with exponents. Add the exponents to each other. ## Rules For Signs: Multiplication

Same signs give a plus: Different signs give a minus: Help Us To Improve Mathematics Monster

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## See Also

What is algebra? What is a term? What is an exponent? The laws of exponents Multiplying terms with exponents