Solve one-step division equations

The learner interprets division equations as relationships among a total, equal groups, and the number in each group, identifying an unknown quotient, dividend, or divisor in whole-number equations such as $36 \div 4 = n$ , $n \div 4 = 9$ , or $36 \div n = 9$ . Using the inverse relationship between multiplication and division, the learner finds and checks the unknown, including with equal-group, array, or bar-model representations; solutions are exact whole numbers, without fractions, decimals, or multi-step algebraic manipulation.

Detailed Explanation: Solve one-step division equations

Division tells about equal groups:

Total: the whole amount
Number of groups: how many equal groups
Amount in each group: how many in one group

Use the related multiplication fact to find the unknown.

Example

Solve:

36 \div n = 9

Step 1: Identify what each number means.

$36$ is the total.
$n$ is the number of equal groups.
$9$ is the amount in each group.

So, we need to find how many groups of $9$ are in $36$ .

Step 2: Use multiplication to find the unknown.

Ask:

? \times 9 = 36

Since

4 \times 9 = 36

the unknown is $4$ .

Therefore,

n = 4

Step 3: Check the answer.

Replace $n$ with $4$ :

36 \div 4 = 9

This is true, so the solution is correct.

Learn by doing: Solve one-step division 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

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

Earned ?