4 5 what is the closest 8' a. Using the preceding fifths and eighths number lines to approximate 1- number on the fifths number line for this difference? 7 3 b. Using the preceding eighths and fifths number lines to approximate 1 5' what is the closest 8. number on the eighths number line for this difference?
4 5 what is the closest 8' a. Using the preceding fifths and eighths number lines to approximate 1- number on the fifths number line for this difference? 7 3 b. Using the preceding eighths and fifths number lines to approximate 1 5' what is the closest 8. number on the eighths number line for this difference?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Differences of fractions can be approximated on number lines. For example, place the edge of a piece of paper on the fifths line below, and mark off the length \(\frac{3}{5}\). Then place the end of the marked-off length at the \(\frac{7}{8}\) point on the eighths line to approximate the difference \(1\frac{7}{8} - \frac{3}{5}\).
### Number Lines:
1. **Fifths Line:**
- Markings: 0, \(\frac{1}{5}\), \(\frac{2}{5}\), \(\frac{3}{5}\), \(\frac{4}{5}\), 1, \(\frac{1}{5}\), \(\frac{2}{5}\), \(\frac{3}{5}\), \(\frac{4}{5}\), 2, \(\frac{1}{5}\), \(\frac{2}{5}\)
2. **Eighths Line:**
- Markings: 0, \(\frac{2}{8}\), \(\frac{4}{8}\), \(\frac{6}{8}\), 1, \(\frac{2}{8}\), \(\frac{4}{8}\), \(\frac{6}{8}\), 2, \(\frac{2}{8}\), \(\frac{4}{8}\)
3. **Tenths Line:**
- Markings: 0, \(\frac{2}{10}\), \(\frac{4}{10}\), \(\frac{6}{10}\), \(\frac{8}{10}\), 1, \(\frac{2}{10}\), \(\frac{4}{10}\), \(\frac{6}{10}\), \(\frac{8}{10}\), 2, \(\frac{2}{10}\), \(\frac{4}{10}\)
### Exercises:
a. Using the preceding fifths and eighths number lines to approximate \(1\frac{4}{5} - \frac{5}{8}\), what is the closest number on the fifths number line for this difference? [____]
b. Using the preceding eighths and fifths number lines to approximate \(1\frac{7}{8} - \frac{3}{5}\](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feb5adba3-9914-404e-81aa-126f087d7321%2F6e54ba46-d0c9-4a5e-b9a2-4cbd3ecd4251%2Farspq5u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Differences of fractions can be approximated on number lines. For example, place the edge of a piece of paper on the fifths line below, and mark off the length \(\frac{3}{5}\). Then place the end of the marked-off length at the \(\frac{7}{8}\) point on the eighths line to approximate the difference \(1\frac{7}{8} - \frac{3}{5}\).
### Number Lines:
1. **Fifths Line:**
- Markings: 0, \(\frac{1}{5}\), \(\frac{2}{5}\), \(\frac{3}{5}\), \(\frac{4}{5}\), 1, \(\frac{1}{5}\), \(\frac{2}{5}\), \(\frac{3}{5}\), \(\frac{4}{5}\), 2, \(\frac{1}{5}\), \(\frac{2}{5}\)
2. **Eighths Line:**
- Markings: 0, \(\frac{2}{8}\), \(\frac{4}{8}\), \(\frac{6}{8}\), 1, \(\frac{2}{8}\), \(\frac{4}{8}\), \(\frac{6}{8}\), 2, \(\frac{2}{8}\), \(\frac{4}{8}\)
3. **Tenths Line:**
- Markings: 0, \(\frac{2}{10}\), \(\frac{4}{10}\), \(\frac{6}{10}\), \(\frac{8}{10}\), 1, \(\frac{2}{10}\), \(\frac{4}{10}\), \(\frac{6}{10}\), \(\frac{8}{10}\), 2, \(\frac{2}{10}\), \(\frac{4}{10}\)
### Exercises:
a. Using the preceding fifths and eighths number lines to approximate \(1\frac{4}{5} - \frac{5}{8}\), what is the closest number on the fifths number line for this difference? [____]
b. Using the preceding eighths and fifths number lines to approximate \(1\frac{7}{8} - \frac{3}{5}\
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