IXL | Identify mistakes involving the order of operations

Joy tried to evaluate the expression

–

Here is her work:

–

Step 1

–

Step 1

Step 2

Step 3

Is Joy's work correct?

No, Joy made a mistake in Step 1. Joy should have subtracted first. The order of operations says to work from left to right.

No, Joy made a mistake in Step 2. Joy should have added before she subtracted. The order of operations says to add before you subtract.

Yes, Joy's work is correct.

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Learn with an example

question

Santiago tried to evaluate the expression

Here is his work:

Step 1

Step 2

Step 3

Is Santiago's work correct?

No, Santiago made a mistake in Step 1. Santiago should have multiplied instead of dividing. The order of operations says to multiply before you divide.

No, Santiago made a mistake in Step 2. Santiago should have multiplied before he added. The order of operations says to multiply before you add.

Yes, Santiago's work is correct.

key idea

To evaluate an expression, you can follow the order of

operations:

Perform operations inside parentheses and brackets. Start with parentheses and do brackets next.
Multiply and divide from left to right.
Add and subtract from left to right.

solution

Santiago made a mistake in Step 2. Santiago added before he multiplied.

The order of operations says to multiply before you add. This shows the work Santiago should have done:

Divide

Multiply

Add

Looking for more? Try these:

Lesson: Order of operations

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Teacher tools

Work it out

Not feeling ready yet? These can help:

H.5Evaluate numerical expressions with parentheses and brackets

Lesson: Order of operations

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