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2.1.2. \( -10+4(16-6) \div 2+4 \times 10 \)

Ask by Hampton Erickson. in South Africa
Mar 08,2025

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Tutor-Verified Answer

Answer

The final result is 50.

Solution

1. Start with the expression \[ -10 + 4(16-6) \div 2 + 4 \times 10 \] 2. Simplify inside the parentheses: \[ 16 - 6 = 10 \] Now the expression becomes \[ -10 + 4 \times 10 \div 2 + 4 \times 10 \] 3. Perform the multiplication and division from left to right: - First, calculate \(4 \times 10\): \[ 4 \times 10 = 40 \] So, the expression is now \[ -10 + 40 \div 2 + 4 \times 10 \] - Next, divide \(40 \div 2\): \[ 40 \div 2 = 20 \] The expression simplifies to \[ -10 + 20 + 4 \times 10 \] - Then, calculate the remaining multiplication \(4 \times 10\): \[ 4 \times 10 = 40 \] Now, the expression becomes \[ -10 + 20 + 40 \] 4. Perform the addition sequentially: - First, add \(-10 + 20\): \[ -10 + 20 = 10 \] - Then, add the result to \(40\): \[ 10 + 40 = 50 \] The final result is \[ 50 \]

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Beyond the Answer

Let's break it down step by step for some clarity and fun! First, we solve the parentheses: \( 16 - 6 = 10 \). Now the expression looks like this: \( -10 + 4(10) \div 2 + 4 \times 10 \). Next, we handle multiplication and division from left to right: \( 4(10) = 40 \) and \( 40 \div 2 = 20 \). Now, we have: \( -10 + 20 + 4 \times 10 \). Now compute \( 4 \times 10 = 40 \). Substituting this in gives: \( -10 + 20 + 40 \). Finally, we combine it all: \( (-10 + 20) + 40 = 10 + 40 = 50 \). The final answer is \( 50 \)!

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