Question

1. explain how to evaluate the expression. 10 × 4 × (12 − 8)

Explanation:

Step1: Evaluate innermost parentheses

First, calculate the expression inside the innermost parentheses, which is \(12 - 8\).
\(12 - 8 = 4\)

Step2: Evaluate the brackets

Next, substitute the result from Step 1 into the brackets. The expression inside the brackets becomes \(4\times4\) (since we found \(12 - 8 = 4\)).
\(4\times4 = 16\)

Step3: Evaluate the entire expression

Finally, multiply the result from Step 2 by 10. So we have \(10\times16\).
\(10\times16 = 160\)

Answer:

To evaluate \(10\times[4\times(12 - 8)]\), follow the order of operations (PEMDAS/BODMAS):

1. Innermost parentheses: Calculate \(12 - 8 = 4\).
2. Brackets: Substitute \(4\) into the brackets: \(4\times4 = 16\).
3. Final multiplication: Multiply by \(10\): \(10\times16 = 160\).

The value of the expression is \(\boldsymbol{160}\).