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Order of operations: missing multiple
for 5th grade

Work back from the answer to find the missing multiple in these multiply then divide 2 step operations

Order of operations: missing multiples

This topic is intended to reinforce the mutual relationship between multiplication and division. Each question starts with a number. That number is multiplied by a second number then divided by a third number. The answer is given, but the second number (the multiple) is missing and needs to be calculated. You do this by multiplying the divisor (the third number) by the answer, then dividing that by the first number.

So, in the first question from the lesson we have an equation of the form:

4 x ▢ ÷ 3 = 12

We can calculate the missing value ▢ by moving the ÷ 3 to the other side of the equation which converts it to x 3. So now we know that:

4 x ▢ = 12 x 3 = 36

We can now move the x 4 across to the other side where it becomes ÷ 4. No we have:

▢ = 36 ÷ 4 = 9

So the solution is that the value of the missing multiple is 9.

Below is a table showing the first 6 question answer pairs for the topic "Order of operations: missing multiple" as used in the lessons for this topic. Our games and tests for the topic use these 6 items plus 10 additional question answer pairs.

The topic "Order of operations: missing multiple" is in the category Multiply + Divide for 5th grade (ages 10 to 11).

1 / 6
Given that 4 x ▢ ÷ 3 = 12, the missing multiple is 9
4x ?÷ 312
9
2 / 6
Given that 5 x ▢ ÷ 10 = 6, the missing multiple is 12
5x ?÷106
12
3 / 6
Given that 9 x ▢ ÷ 6 = 12, the missing multiple is 8
9x ?÷ 612
8
4 / 6
Given that 6 x ▢ ÷ 4 = 18, the missing multiple is 12
6x ?÷ 418
12
5 / 6
Given that 8 x ▢ ÷ 4 = 22, the missing multiple is 11
8x ?÷ 422
11
6 / 6
Given that 12 x ▢ ÷ 6 = 20, the missing multiple is 10
12x ?÷ 620
10

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Each of our math topics for elementary are made up of between 6 and 20 question and answer pairs (both the written form and a robot voice speaking those questions and answers). Each topic can be used with all the activities on the site.


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