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Balance multiplication equations

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 3×4=2×63\times4=2\times6. 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.

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:

3×4=2×□3\times4=2\times\Box

Step 1: Find the value of the side you know.

3×4=123\times4=12

So the equation becomes:

12=2×□12=2\times\Box

Step 2: Think of a multiplication fact with 2 that equals 12.

Since

2×6=12,2\times6=12,

the missing number is 66.

Step 3: Check that both sides are equal.

3×4=2×63\times4=2\times6 12=1212=12

The equation is balanced because both sides have the same value. Therefore,

3×4=2×6\boxed{3\times4=2\times6}

Learn by doing: Balance multiplication equations

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    Multiplication - Balance Equation - One Digit, Two Factors

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