Question
2. Divide. Use unit form to help you. Write the quotient in standard form. \( 5.2 \div 0.16= \)
Ask by Reyes Christensen. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The quotient is 32.5.
Solution
Calculate or simplify the expression \( 5.2 / 0.16 \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{5.2}{0.16}\)
- step1: Convert the expressions:
\(\frac{\frac{26}{5}}{\frac{4}{25}}\)
- step2: Multiply by the reciprocal:
\(\frac{26}{5}\times \frac{25}{4}\)
- step3: Reduce the numbers:
\(13\times \frac{5}{2}\)
- step4: Multiply:
\(\frac{13\times 5}{2}\)
- step5: Multiply:
\(\frac{65}{2}\)
The quotient of \(5.2 \div 0.16\) is \(32.5\).
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Simplify this solution The Deep Dive
To divide \( 5.2 \) by \( 0.16 \) using unit form, you'll first convert both numbers to whole numbers by shifting the decimal point. This means you can rewrite \( 5.2 \) as \( 52 \) and \( 0.16 \) as \( 16 \) (moved the decimal two places to the right for both). So, now you have \( 52 \div 16 \). The calculation gives \( 3.25 \) when you divide. So, expressed in standard form, the answer is \( 3.25 \). To double-check your math, consider the multiplication approach! Multiply \( 3.25 \) by \( 0.16 \) to see if you get back to \( 5.2 \). This practice can help confirm your answer and solidify your understanding of the relationship between division and multiplication!
