Question
1. \( 0.35 \times 4 \)
Ask by Huang Griffiths. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\(0.35 \times 4 = 1.4\)
Solution
1. Write the expression: \(0.35 \times 4\).
2. Rewrite \(0.35\) as a fraction:
\[
0.35 = \frac{35}{100}
\]
3. Multiply the fraction by \(4\):
\[
\frac{35}{100} \times 4 = \frac{35 \times 4}{100} = \frac{140}{100}
\]
4. Simplify the fraction by dividing the numerator and denominator by \(10\):
\[
\frac{140 \div 10}{100 \div 10} = \frac{14}{10}
\]
5. Further simplify by dividing both numerator and denominator by \(2\):
\[
\frac{14 \div 2}{10 \div 2} = \frac{7}{5}
\]
6. Convert the fraction to a decimal:
\[
\frac{7}{5} = 1.4
\]
Thus, the result of \(0.35 \times 4\) is \(1.4\).
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Simplify this solution Extra Insights
Did you know that multiplying decimals is much like multiplying whole numbers? You just ignore the decimal point, perform the multiplication as usual, and then place the decimal back in the result. For example, \( 0.35 \times 4 \) becomes \( 35 \times 4 = 140 \). Since \( 0.35 \) has two decimal places, you move the decimal point two places to the left, resulting in \( 1.40 \). Now, let’s talk about common mistakes! A frequent error is forgetting to account for the decimal places when placing it back in the answer. Make sure to count the total number of decimal places in the numbers you're multiplying to avoid ending up with a misplaced decimal point in your final answer!
