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In Mathematics / Middle School | 2014-09-10

How could you estimate to get an approximate answer for this expression:

\[ 12.3 \times \left\{(2 \times 1.7) + 6\right\} - 2^3 \]

Asked by jayjay0

Answer (3)

you would first do 2*2 inside the parentheses to get 12.3 time {4+6}-2 cubed That is 12.3x10, which is 123. 2 cubed is 8, and 123-8 is 115 .

Answered by SecretIndex | 2024-06-10

To find the approximate answer for the expression 12.3 \( \times \) {(2 \( \times \) 1.7)+6}-2 cubed , we follow these steps:

First, address the parentheses: 2 \( \times \) 1.7 = 3.4 . So, the expression inside the curly bracket becomes 3.4 + 6, which equals 9.4.
Next, multiply this result by 12.3: 2 \( \times \) 1.7 = 3.4 .
Lastly, calculate 2 cubed, which is 2\(^3\) = 8 .
Subtract the cubed number from the product: 115.62 - 8 = 107.62.

Therefore, the approximate answer for the expression is 107.62.

Answered by IanMckellen | 2024-06-24

To estimate the expression 12.3 × { ( 2 × 1.7 ) + 6 } − 2 3 , we calculate the inner expression's result to be approximately 9, multiply it by 12 (roughly 108), and then subtract 8 (for 2 3 ), resulting in an estimated final answer of about 100.
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Answered by SecretIndex | 2024-10-02