Skill: Balance addition equations

Explanation and Free Practice Resources

Equality means that the value of the expression on each side of an addition equation is the same, so a missing number can be determined by comparing quantities, using known sums, or applying addition–subtraction relationships. This includes equations with whole numbers within 1,000, such as a missing addend or expressions on both sides of the equal sign, and develops the understanding that the equal sign does not mean “the answer comes next”; more general algebraic equations and non-whole-number cases are beyond this scope.

Detailed Explanation: Balance addition equations

An equal sign means both sides have the same value. To find a missing number, first find the value of the side that is complete. Then find what number makes the other side equal.

Example:

27+□=16+2027+\square=16+20
  1. Add the numbers on the right:

16+20=3616+20=36

So the equation becomes:

27+□=3627+\square=36
  1. Ask: What number added to 27 makes 36? Use subtraction:

36−27=936-27=9
  1. Put 99 in the box:

27+9=16+2027+9=16+20
  1. Check both sides:

27+9=36and16+20=3627+9=36 \quad\text{and}\quad 16+20=36

Both sides equal 3636, so 9\boxed{9} is the missing number.

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Addition - Balance Equation - Two Digit, Two Terms


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