Ctrl+k

Balance addition equations

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:

3627=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.

Learn by doing: Balance addition equations

Click a topic below to practice the foundational skills you'll need, learn the steps, or master this skill

Practice with unlimited practice problems

Addition - Missing Value, Multiples of Hundreds


    ?