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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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: \(-33.9\)