Question

1. explain how to evaluate the expression. 45 ÷ (30 + 15) ÷ 5

Explanation:

Step1: Evaluate innermost parentheses

First, calculate the sum inside the innermost parentheses: \(30 + 15 = 45\).

Step2: Evaluate the bracket

Next, divide the result from Step 1 by 5 inside the bracket: \(45 \div 5 = 9\).

Step3: Evaluate the entire expression

Finally, divide 45 by the result from Step 2: \(45 \div 9 = 5\).

Answer:

To evaluate \(45 \div [(30 + 15) \div 5]\), follow the order of operations (PEMDAS/BODMAS):

1. Simplify the innermost parentheses: \(30 + 15 = 45\).
2. Simplify the bracket: \(45 \div 5 = 9\).
3. Simplify the outer division: \(45 \div 9 = 5\).

The value of the expression is \(\boldsymbol{5}\).