Sure, let's break down the question and solve it step by step.
1. Understanding the Values:
- Five thousandths means the fraction [tex]\(\frac{5}{1000}\)[/tex]. This can be represented as a decimal: [tex]\(0.005\)[/tex].
- Five ten-thousandths means the fraction [tex]\(\frac{5}{10000}\)[/tex]. This can be represented as a decimal: [tex]\(0.0005\)[/tex].
2. Calculating the Difference:
- To find the numerical difference between these two values, we subtract the smaller value (five ten-thousandths) from the larger value (five thousandths).
- So, we need to subtract [tex]\(0.0005\)[/tex] from [tex]\(0.005\)[/tex].
3. Performing the Subtraction:
- [tex]\(0.005 - 0.0005 = 0.0045\)[/tex].
4. Result:
- The numerical difference between five thousandths and five ten-thousandths is [tex]\(0.0045\)[/tex].
To summarize:
- Five thousandths ([tex]\(0.005\)[/tex])
- Five ten-thousandths ([tex]\(0.0005\)[/tex])
- The difference [tex]\(0.005 - 0.0005 = 0.0045\)[/tex]
Therefore, the numerical difference between five thousandths and five ten-thousandths is [tex]\(0.0045\)[/tex].
