Question

Simplify the following without using a calculator \( 3.1-4 \times(8-(-3))+7 \)

Ask by Harper Medina. in South Africa
Feb 20,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The simplified expression is \(-33.9\).

Solution

Calculate or simplify the expression \( 3.1-4*(8-(-3))+7 \). Calculate the value by following steps: - step0: Calculate: \(3.1-4\left(8-\left(-3\right)\right)+7\) - step1: Remove the parentheses: \(3.1-4\left(8+3\right)+7\) - step2: Add the numbers: \(3.1-4\times 11+7\) - step3: Multiply the numbers: \(3.1-44+7\) - step4: Calculate: \(-33.9\) The simplified expression \(3.1-4 \times (8-(-3))+7\) is equal to \(-33.9\), \(-\frac{339}{10}\), or \(-33\frac{9}{10}\).

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Simplify this solution

Mind Expander

To simplify the expression \( 3.1-4 \times(8-(-3))+7 \), start by calculating the parentheses: 1. \( 8 - (-3) \) is the same as \( 8 + 3 \), which equals \( 11 \). Next, substitute this back into the expression: \( 3.1 - 4 \times 11 + 7 \) Now, perform the multiplication: 2. \( 4 \times 11 = 44 \) So now we have: \( 3.1 - 44 + 7 \) Next, deal with \( 3.1 - 44 \): 3. \( 3.1 - 44 = -40.9 \) Finally, add \( 7 \): 4. \( -40.9 + 7 = -33.9 \) Thus, the simplified result is: \(-33.9\)

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