An equation is balanced when the quantities on both sides are equal, whether it shows a multiplication fact, a missing factor or product, or two equivalent products such as . The learner reasons from known multiplication facts, equal groups, and arrays to preserve equality, rather than treating the equal sign as “the answer comes next”; this prepares the way for solving more general equations, without extending to negative numbers, fractions, decimals, or formal algebraic manipulation.
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- Master “Balance multiplication equations” with unlimited, free practice problems
- Download (or modify) a free worksheet on Balance multiplication equations you can use at home or in class with practice problems that scaffold and explore “Balance multiplication equations” from different perspectives.
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Detailed Explanation: Balance multiplication equations
A multiplication equation is balanced when both sides show the same amount. The equal sign means “has the same value as,” not just “the answer comes next.”
Example:
Step 1: Find the value of the side you know.
So the equation becomes:
Step 2: Think of a multiplication fact with 2 that equals 12.
Since
the missing number is .
Step 3: Check that both sides are equal.
The equation is balanced because both sides have the same value. Therefore,
Learn by doing: Balance multiplication equations
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Practice:
Multiplication - Balance Equation - One Digit, Two Factors
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Download/Modify Free Grade 3 'Balance multiplication equations' Worksheet
Print this free 'Balance multiplication equations' worksheet to practice this skill away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Multiplication - Balance Equation - One Digit, Two Factors
- Multiplication - Balance Equation - One Digit, Three Factors
- Multiplication - Balance Equation - Two Digit, Two Factors
- Multiplication - Commutative Property
- Multiplication Word Problems - Setup (Small Integer Values)
- Fact Family - Multiplication - Triangle to Fact
- Fact Family - Multiplication - Fact to Triangle
- Multiplication - Missing Value, 2 x 1 Digit
Units Teaching This Skill
These adaptive units introduce, teach, or reinforce this skill (Balance multiplication equations) through scaffolded problems that grow in difficulty as concepts are understood.