 Mixed-Operator Expressions - dummies

A mixed-operator expression contains at least one addition or subtraction sign and at least one multiplication or division sign. To evaluate mixed-operator expressions, follow a couple of simple steps:

1. Evaluate all multiplication and division from left to right.

Begin evaluating a mixed-operator expression by underlining all the multiplication or division in the problem.

2. Evaluate addition and subtraction from left to right.

## Sample question

1. What’s –15 x 3 / –5 – (–3) x –4?

–3. Start by underlining all the multiplication and division in the problem; then evaluate all multiplication and division from left to right:

15 x 3 / –5(–3) x –4

= –45 / –5 – (–3) x –4

= 9 – (–3) x –4

= 9 – 12

Finish up by evaluating the addition and subtraction from left to right:

= –3

## Practice questions

1. Evaluate 8 – 3 x 4 / 6 + 1.

2. Find 10 x 5 – (–3) x 8 / –2.

3. –19 – 7 x 3 + –20 / 4 – 8 = ?

4. What’s 60 / –10 – (–2) + 11 x 8 / 2?

Following are the answers to the practice questions:

1. 8 – 3 x 4 / 6 / 1 = 7.

Start by underlining and evaluating all multiplication and division from left to right:

8 – 3 x 4 / 6 / 1

= 8 – 12 / 6 + 1

= 8 – 2 + 1

Now evaluate all addition and subtraction from left to right:

= 6 + 1 = 7

2. 10 x 5 – (–3) x 8 / –2 = 38.

Start by underlining and evaluating all multiplication and division from left to right:

10 x 5(–3) x 8 / –2

= 50 – (–3) x 8 / –2

= 50 – (–24) / –2

= 50 –12

Now evaluate the subtraction:

= 38

3. –19 – 7 x 3 + –20 / 4 – 8 = 53.

Start by underlining and evaluating all multiplication and division from left to right:

–19 – 7 x 3 + –20 / 4 – 8

= –19 – 21 + –20 / 4 – 8

= –19 – 21 + –5 – 8

Then evaluate all addition and subtraction from left to right:

= –40 + –5 – 8 = –45 – 8 = –53

4. 60 / –10 – (–2) + 11 x 8 / 2 = 40.

Start by underlining and evaluating all multiplication and division from left to right:

60 / –10 – (–2) + 11 x 8 / 2

= –6 – (–2) + 11 x 8 / 2

= –6 – (–2) + 88 / 2

= –6 – (–2) + 44

Now evaluate all addition and subtraction from left to right:

= –4 + 44 = 40