In this example, you are asked to evaluate the expression (qr + s) ÷ r, when q = 5, r = 10, and s = 4. Give the answer as a whole number or improper fraction.
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Start by substituting the numbers for the variables. |  |
(qr + s) ÷ r = (5 • 10 + 4) ÷ 10 |
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Next, perform the operations inside the grouping symbols. | |
(5 • 10 + 4) |
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Inside the parentheses, multiply first; then add. | |
(5 • 10 + 4) = (50 + 4) = 54 |
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Replace (5 • 10 + 4) with (54). | |
(54) ÷ 10 |
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We can now divide 54 by 10. | |
(54) ÷ 10 = 5.4 |
You Try It!
Evaluate and then simplify for a = 3, b = 50, c = 4
2(bc - 8) ÷ aThe correct answer is 128.
Following the order of operations, the steps are:
2((50)(4) - 8) ÷ 3 =
2(200 - 8) ÷ 3 =
2(192) ÷ 3 =
384 ÷ 3 =
128
Following the order of operations, the steps are:
2((50)(4) - 8) ÷ 3 =
2(200 - 8) ÷ 3 =
2(192) ÷ 3 =
384 ÷ 3 =
128
