Question

1.1: order of operations
score: 3/14 answered: 3/14
question 4
use the rule for order of operations to simplify the expression as much as possible:
2 (7·9 − 20) + 8 (6·4 − 1) =
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Explanation:

Step1: Solve inner multiplications

First calculate the products inside the parentheses:
$7 \cdot 9 = 63$, $6 \cdot 4 = 24$
The expression becomes: $2(63 - 20) + 8(24 - 1)$

Step2: Solve parentheses subtractions

Subtract inside each set of parentheses:
$63 - 20 = 43$, $24 - 1 = 23$
The expression becomes: $2(43) + 8(23)$

Step3: Perform outer multiplications

Calculate the products outside the parentheses:
$2 \times 43 = 86$, $8 \times 23 = 184$
The expression becomes: $86 + 184$

Step4: Add the remaining values

Sum the two results:
$86 + 184 = 270$

Answer:

270