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Order of operations: missing divisor
for 5th grade

Work back from the answers to find the missing divisors for each of these 2 step operations

Order of operations: missing divisors

This topic reinforces the mutual relationship between multiplication and division - we say they are inverse operations. Each question starts with a number. That number is multiplied by a second number then divided by a third number (we call this a 2 step operation). In this topic the answer is given, but the third number (the divisor) is missing and needs to be calculated.

To calculate the divisor you need to multiply the initial number by the second number, then divide that value by the answer of the 2 step equation. What we are doing in effect is taking the missing number with its divide sign to the other side of the equation which changes the divide sign to multiply. We then move the answer with its multiply sign to the left side of the equation where it becomes divide.

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

4 x 8 ÷ ▢ = 16

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

4 x 8 = ▢ x 16

We can now move the x 16 across from the right to the other side where it becomes ÷ 16. No we have:

32 ÷ 16 = ▢

So the solution is that the value of the missing divisor is 2.

Below is a table showing the first 6 question answer pairs for the topic "Order of operations: missing divisor" 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 divisor" is in the category Multiply + Divide for 5th grade (ages 10 to 11).

1 / 6
Given that 4 x 8 ÷ ▢ = 16, the missing divisor is 2
4x 8÷ ?16
2
2 / 6
Given that 5 x 12 ÷ ▢ = 6, the missing divisor is 10
5x12÷ ?6
10
3 / 6
Given that 9 x 11 ÷ ▢ = 3, the missing divisor is 33
9x11÷ ?3
33
4 / 6
Given that 6 x 8 ÷ ▢ = 12, the missing divisor is 4
6x 8÷ ?12
4
5 / 6
Given that 8 x 12 ÷ ▢ = 32, the missing divisor is 3
8x12÷ ?32
3
6 / 6
Given that 12 x 9 ÷ ▢ = 27, the missing divisor is 4
12x 9÷ ?27
4

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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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