Skill: Solve one-step division equations

Explanation and Free Practice Resources

A one-step division equation represents an equal-sharing or equal-grouping relationship in which one whole-number quantity is unknown, such as 24÷6=n24 \div 6 = n, n÷6=4n \div 6 = 4, or 24÷n=624 \div n = 6. The learner determines the missing dividend, divisor, or quotient by relating division to its inverse operation, multiplication, and checks that the equation is true; work is limited to familiar whole-number facts and exact quotients, not remainders, fractions, decimals, or generalized algebraic methods.

Detailed Explanation: Solve one-step division equations

Division and multiplication are inverse operations, which means they undo each other.

To solve a division equation, use the known numbers to make a multiplication fact.

Example:

24÷n=624 \div n = 6

The unknown number nn is the divisor. Ask:

What number multiplied by 66 equals 2424?

Write the related multiplication fact:

6×n=246 \times n = 24

Since 6×4=246 \times 4 = 24, the missing number is:

n=4n = 4

Check:

24÷4=624 \div 4 = 6

The equation is true, so the answer is 4\boxed{4}.

Learn by doing: Solve one-step division equations

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Digit Solving - Long Division (Next Step) - One Step, No Remainder - Identify Quotient


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