Nov09

How to Solve Combined Operations

In this post, we will learn the order that needs to be followed to solve combined operations: addition, subtraction, multiplication, and division. The combined operations cannot be performed at random, an order must be followed.

combined operations

Step 1: Perform operations that are within parenthesis.

For example: 3 x (2 + 4).

First, we do the operation inside the parenthesis: 2 + 4 = 6.

Then we perform the operation: 3 x 6 = 18.

Step 2: perform multiplication and division, always from left to right.

For example: 24 ÷ 6 x 2.

First, we perform the division because it is further to the left than the multiplication: 24 ÷ 6 = 4.

Then we do the multiplication: 4 x 2 = 8.

Step 3: Finally, do additions and subtractions.

For example: 2 + 3 x 5.

First, we do the multiplication: 3 x 5 = 15.

Then we take the sum: 2 + 15 = 17.

Example #1 of Combined Operations:

6 + (8-3) x 2

First we complete the operation in parenthesis: 8 – 3 = 5.

From here, we have: 6 + 5 x 2.

Now we do the multiplication: 5 x 2 = 10.
And finally we have addition: 6 + 10 = 16.

Example #2 of Combined Operations:

21 ÷ 3 + 7 x 4

The first operation to be completed is in the parenthesis but in this case, there are none.
The next thing to do is multiplication and division: 21/3 = 7 and on the other 7 x 4 = 28
Now we only have addition to complete: 7 + 28 = 35

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