Skill: Balance addition equations

Explanation and Free Practice Resources

Equality means that the expressions on both sides of an addition equation represent the same whole, so a missing addend or number can be determined by comparing totals, using related addition and subtraction facts, and reasoning about equivalence. The equal sign does not mean “the answer comes next”; it expresses a relationship that remains true when both sides have equal value. This work is limited to whole-number equations within 100, not generalized symbolic algebra or equations involving larger or more complex numbers.

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Detailed Explanation: Balance addition equations

An addition equation is balanced when both sides have the same total. The equal sign means “has the same value as,” not “the answer comes next.”

Example:

7+6=\square+8

Step 1: Find the total on the side without the box.

7+6=13

So the other side must also equal $13$ :

\square+8=13

Step 2: Find the missing addend.

Ask: “What number plus $8$ makes $13$ ?” Use the related subtraction fact:

13-8=5

So the missing number is $5$ .

Step 3: Check that both sides are equal.

7+6=13

and

5+8=13

Therefore:

\boxed{7+6=5+8}

Both sides represent the same whole, $13$ , so the equation is balanced.

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Addition - Balance Equation - Two Digit, Two Terms

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