When simplifying an expression that has more than one operation symbol, there is a special order you must follow.
Be careful in steps 3 and 4! Multiplication does not always come before division, nor does addition always come before subtraction! For example, in $$8-3\cdot~(-4)\div~2+4$$ you would multiply before dividing because it is to the left of the division. Similarly, you would subtract before adding because it is to the left of the addition. |
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Example 1: $8-3\cdot~(-4)\div~2+4$ 8 - 3 • (-4) ÷ 2 + 4 \ / 8 - (-12) ÷ 2 + 4 \ / 8 - (-6) + 4 \ / 14 +4 \ / 18 |
Example 2: $-20\div~(3+7)\cdot~2$ -20 ÷ (3 + 7) • 2 |
Question 1 Simplify. $9-(-8)•3=$ |
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Question 2 Simplify. $(-8)-8(8-4)=$ |
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Question 3 Simplify. $\large\frac{9-(-3)+(-9)}{(-5)+(+2)}$ |
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