Question
compares 0.034 and 34 ? a. 0.034 is 10 times the value of 34. b. 0.034 is \( \frac{1}{10} \) the value of 34. c. 0.034 is \( \frac{1}{100} \) the value of 34. d. 0.034 is \( \frac{1}{1000} \) the value of 34.
Ask by Christensen Olson. in the United States
Mar 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 0.034 \) is \( \frac{1}{1000} \) the value of \( 34 \).
Solution
1. We need to compare \( 0.034 \) with \( 34 \) by finding the ratio:
\[
\text{Ratio} = \frac{0.034}{34}
\]
2. Evaluate the ratio:
\[
\frac{0.034}{34} = 0.001 = \frac{1}{1000}
\]
3. Therefore, \( 0.034 \) is \( \frac{1}{1000} \) the value of \( 34 \).
4. The correct answer is option (d).
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Extra Insights
To compare 0.034 and 34, we can express 0.034 in terms of 34. Since 0.034 is much smaller than 34, we can think of it as a fraction of 34. Specifically, \( 0.034 = \frac{34}{1000} \), which means that 0.034 is \( \frac{1}{1000} \) the value of 34. So, the correct option is d. It's fascinating to see how we interpret numbers in different forms. For instance, when dealing with decimals and fractions, understanding their decimal placements can enhance our number sense. Remember, every decimal point shifts the value, making it crucial to visualize these distinctions when comparing values!
