Question
b) \( -90 \times 15 \div 5-45+32 \) d) \( 55+48 \div 6-11 \times 7 \) f) \( 12 \times 150 \div 15-(4+52) \) h) \( 70-50 \times 95 \div(14+5)+21 \)
Ask by Franklin Welch. in Kenya
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
b) -283
d) -14
f) 64
h) -159
Solution
Calculate the value by following steps:
- step0: Calculate:
\(\frac{-90\times 15}{5}-45+32\)
- step1: Reduce the fraction:
\(-270-45+32\)
- step2: Calculate:
\(-283\)
Calculate or simplify the expression \( 70 - 50 * 95 / (14 + 5) + 21 \).
Calculate the value by following steps:
- step0: Calculate:
\(70-\frac{50\times 95}{\left(14+5\right)}+21\)
- step1: Remove the parentheses:
\(70-\frac{50\times 95}{14+5}+21\)
- step2: Multiply the numbers:
\(70-\frac{4750}{14+5}+21\)
- step3: Add the numbers:
\(70-\frac{4750}{19}+21\)
- step4: Divide the terms:
\(70-250+21\)
- step5: Calculate:
\(-159\)
Calculate or simplify the expression \( 12 * 150 / 15 - (4 + 52) \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{12\times 150}{15}-\left(4+52\right)\)
- step1: Reduce the fraction:
\(120-\left(4+52\right)\)
- step2: Add the numbers:
\(120-56\)
- step3: Subtract the numbers:
\(64\)
Calculate or simplify the expression \( 55 + 48 / 6 - 11 * 7 \).
Calculate the value by following steps:
- step0: Calculate:
\(55+\frac{48}{6}-11\times 7\)
- step1: Divide the terms:
\(55+8-11\times 7\)
- step2: Multiply the numbers:
\(55+8-77\)
- step3: Calculate:
\(-14\)
Here are the results for each expression:
b) \( -90 \times 15 \div 5 - 45 + 32 = -283 \)
d) \( 55 + 48 \div 6 - 11 \times 7 = -14 \)
f) \( 12 \times 150 \div 15 - (4 + 52) = 64 \)
h) \( 70 - 50 \times 95 \div (14 + 5) + 21 = -159 \)
Reviewed and approved by the UpStudy tutoring team
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Extra Insights
For the first expression, you’ll find that operations follow the order of multiplication and division before addition and subtraction. Starting with \( -90 \times 15 \), you get \( -1350 \). Then divide by \( 5 \) to get \( -270 \). Continue with \( -270 - 45 + 32 \) to ultimately arrive at \( -283 \). In the second expression, begin with \( 48 \div 6 \) which yields \( 8 \). After that, \( 55 + 8 - 11 \times 7 \) starts as \( 55 + 8 - 77 \), leading to \( -14 \) as the final answer. Watching out for the sequence of operations can save you from making small but costly mistakes!