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Expressions are evaluated using the
following order of operations:
First: exponents
Second: multiplication and division
Third: addition
and subtraction
Grouping symbols will force other sequences
of operations.
Examples:
1 - 3 + 5 - 8 = -2 + 5 - 8
= 3 - 8 = -5
Evaluate left to right if similar operations.
3 * 4 * 2 = 12 * 2
= 24
4 / 2 * 3 = 2 *
3 = 6 (left to right, division
first)
2 * 3 + 6 = 6 +
6 = 12
(mult. first)
5 + 3 * 6 = 5
+ 18 = 23
(mult. first)
4 * 2 - 4 * 3 = 8 - 12
= -4 (mult. first)
6 - 10 / 5 + 2 * 3 = 6 - 2 + 2 * 3 = 6 -
2 + 6 = 4 + 6 = 10
(mult. and div. first, then add.
and sub.)
23 + 4
= 8 + 4 = 12
22 * 3 + 6 = 4 * 3 + 6
= 12 + 6 = 18
(4 + 6) * 3 - 2 = (10)*3 - 2 = 30 -2 =
28
(3 * 6 - 10) / (24 / 3) + 7 = (18 -10)/(8) + 7
= 8/8 + 7 = 1+7 = 8
32 + 2 + 6 = 34
+ 6 = 81 + 6 = 87
Exponents must be simplified first.
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