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Use brackets to evaluate: \( 30 \div 6+5 \times 2-4 \div 2 \)

Ask by Carter Hobbs. in South Africa
Feb 25,2025

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Answer

The value of the expression is 13.

Solution

We start with the original expression:   30 ÷ 6 + 5 × 2 − 4 ÷ 2 To make the order of operations clear, we can insert brackets to show that division and multiplication are to be performed before addition and subtraction. For example, we write:   (30 ÷ 6) + (5 × 2) − (4 ÷ 2) Now, evaluate each part step by step: 1. 30 ÷ 6 = 5 2. 5 × 2 = 10 3. 4 ÷ 2 = 2 Substitute the calculated values back into the expression:   5 + 10 − 2 Finally, perform the addition and subtraction from left to right:   5 + 10 = 15   15 − 2 = 13 So, the value of the expression is 13.

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To evaluate the expression \( 30 \div 6 + 5 \times 2 - 4 \div 2 \) using brackets, we can first add brackets for clarity in the order of operations. We know that in order of operations, we should perform multiplication and division from left to right, as well as addition and subtraction. So, we rewrite it with brackets to enforce this order: \[ (30 \div 6) + (5 \times 2) - (4 \div 2) \] Now, let's calculate each part: 1. \( 30 \div 6 = 5 \) 2. \( 5 \times 2 = 10 \) 3. \( 4 \div 2 = 2 \) Now substituting these values back into the expression gives us: \[ 5 + 10 - 2 \] Now, we perform the addition and subtraction from left to right: \[ 5 + 10 = 15 \] \[ 15 - 2 = 13 \] Thus, the evaluated result of the expression \( 30 \div 6 + 5 \times 2 - 4 \div 2 \) is \( 13 \).

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