Question
16. [-/2 Points] DETAILS MY NOTES CURRENMEDMATH11 3.S.001. Evaluate the expression. A calculator may be used. Express your answer to the nearest tenth. \( \frac{0.8}{0.55} \times \frac{1.4}{1}= \) Express your answer to the nearest hundredth. \( \frac{0.8}{0.55} \times \frac{1.4}{1}= \) SUBMIT ANSWER
Ask by Harris Mitchell. in the United States
Mar 14,2025
Upstudy AI Solution
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Answer
The expression \( \frac{0.8}{0.55} \times \frac{1.4}{1} \) equals approximately 2.04 when rounded to the nearest hundredth.
Solution
Calculate or simplify the expression \( 0.8/0.55*1.4/1 \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{\frac{0.8}{0.55}\times 1.4}{1}\)
- step1: Divide the terms:
\(\frac{\frac{16}{11}\times 1.4}{1}\)
- step2: Multiply the numbers:
\(\frac{\frac{112}{55}}{1}\)
- step3: Divide the terms:
\(\frac{112}{55}\)
The expression \( \frac{0.8}{0.55} \times \frac{1.4}{1} \) simplifies to \( 2.0\dot{3}\dot{6} \) when expressed to the nearest hundredth.
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Simplify this solution The Deep Dive
When you evaluate the expression \( \frac{0.8}{0.55} \times \frac{1.4}{1} \), you first calculate \( \frac{0.8}{0.55} \) which is approximately 1.4545. Multiplying this by 1.4 gives you about 2.03636. Rounded to the nearest tenth, the answer is 2.0, and when rounded to the nearest hundredth, it's 2.04. Now, if you're ever uncertain about calculations with decimals, remember to convert them into fractions! It might just simplify things. For instance, you could change 0.8 to \( \frac{8}{10} \) and 0.55 to \( \frac{55}{100} \) to eliminate any decimal confusion. Just ensure you simplify properly to get accurate results!
