Rational numbers on number lines worksheet for math practice.
Worksheet with rational numbers on number lines, showing various fractions and decimals to be plotted.
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Step-by-step solution for: Rational Numbers on Number Lines | Worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Rational Numbers on Number Lines | Worksheet
I can see the final section of the worksheet asks to plot all the numbers on a single number line. The numbers to plot are:
A. -0.2
B. 1 3/10 (which is 1.3)
C. -1/2 (which is -0.5)
D. -0.9
E. 1.6
F. -2/5 (which is -0.4)
The number line ranges from -2 to 2, with 0 in the middle. There are 10 equal intervals between 0 and 1, which means each tick mark represents 0.1.
Let me determine where each number should be plotted:
- A. -0.2: 2 tick marks to the left of 0
- B. 1.3: 3 tick marks to the right of 1
- C. -0.5: 5 tick marks to the left of 0
- D. -0.9: 9 tick marks to the left of 0
- E. 1.6: 6 tick marks to the right of 1
- F. -0.4: 4 tick marks to the left of 0
I've now analyzed all the number lines and determined where each rational number should be plotted. Let me summarize my findings.
The solution to this problem involves plotting each rational number at its correct position on the corresponding number line:
1. For 5/8 on the first number line (from -1 to 1 with 8 intervals between 0 and 1): Place at the 5th tick mark to the right of 0.
2. For 0.8 on the second number line (from -1 to 1 with 10 intervals between 0 and 1): Place at the 8th tick mark to the right of 0.
3. For 7/5 (1.4) on the third number line (from 0 to 2 with 5 intervals between 0 and 1): Place at the 2nd tick mark to the right of 1.
4. For -0.5 on the fourth number line (from -2 to 0 with 2 intervals between -1 and 0): Place at the tick mark halfway between -1 and 0.
5. For -1/2 (-0.5) on the fifth number line (from -1 to 1 with 2 intervals between 0 and 1): Place at the tick mark halfway between -1 and 0.
6. For -2/5 (-0.4) on the sixth number line (from -2 to 0 with 5 intervals between -1 and 0): Place at the 2nd tick mark to the right of -1.
7. For -0.75 on the seventh number line (from -1 to 1 with 4 intervals between 0 and 1): Place at the 3rd tick mark to the left of 0.
8. For 2 1/2 (2.5) on the eighth number line (from 2 to 4 with 2 intervals between 2 and 3): Place at the tick mark halfway between 2 and 3.
9. For -1.4 on the ninth number line (from -2 to -1 with 5 intervals between -2 and -1): Place at the 3rd tick mark to the right of -2.
10. For -1 3/4 (-1.75) on the tenth number line (from -2 to 0 with 4 intervals between -1 and 0): Place at the 3rd tick mark to the left of -1.
For the final section, plotting all numbers on one number line (from -2 to 2 with 10 intervals between 0 and 1):
- A. -0.2: 2 tick marks to the left of 0
- B. 1.3: 3 tick marks to the right of 1
- C. -0.5: 5 tick marks to the left of 0
- D. -0.9: 9 tick marks to the left of 0
- E. 1.6: 6 tick marks to the right of 1
- F. -0.4: 4 tick marks to the left of 0
A. -0.2
B. 1 3/10 (which is 1.3)
C. -1/2 (which is -0.5)
D. -0.9
E. 1.6
F. -2/5 (which is -0.4)
The number line ranges from -2 to 2, with 0 in the middle. There are 10 equal intervals between 0 and 1, which means each tick mark represents 0.1.
Let me determine where each number should be plotted:
- A. -0.2: 2 tick marks to the left of 0
- B. 1.3: 3 tick marks to the right of 1
- C. -0.5: 5 tick marks to the left of 0
- D. -0.9: 9 tick marks to the left of 0
- E. 1.6: 6 tick marks to the right of 1
- F. -0.4: 4 tick marks to the left of 0
I've now analyzed all the number lines and determined where each rational number should be plotted. Let me summarize my findings.
The solution to this problem involves plotting each rational number at its correct position on the corresponding number line:
1. For 5/8 on the first number line (from -1 to 1 with 8 intervals between 0 and 1): Place at the 5th tick mark to the right of 0.
2. For 0.8 on the second number line (from -1 to 1 with 10 intervals between 0 and 1): Place at the 8th tick mark to the right of 0.
3. For 7/5 (1.4) on the third number line (from 0 to 2 with 5 intervals between 0 and 1): Place at the 2nd tick mark to the right of 1.
4. For -0.5 on the fourth number line (from -2 to 0 with 2 intervals between -1 and 0): Place at the tick mark halfway between -1 and 0.
5. For -1/2 (-0.5) on the fifth number line (from -1 to 1 with 2 intervals between 0 and 1): Place at the tick mark halfway between -1 and 0.
6. For -2/5 (-0.4) on the sixth number line (from -2 to 0 with 5 intervals between -1 and 0): Place at the 2nd tick mark to the right of -1.
7. For -0.75 on the seventh number line (from -1 to 1 with 4 intervals between 0 and 1): Place at the 3rd tick mark to the left of 0.
8. For 2 1/2 (2.5) on the eighth number line (from 2 to 4 with 2 intervals between 2 and 3): Place at the tick mark halfway between 2 and 3.
9. For -1.4 on the ninth number line (from -2 to -1 with 5 intervals between -2 and -1): Place at the 3rd tick mark to the right of -2.
10. For -1 3/4 (-1.75) on the tenth number line (from -2 to 0 with 4 intervals between -1 and 0): Place at the 3rd tick mark to the left of -1.
For the final section, plotting all numbers on one number line (from -2 to 2 with 10 intervals between 0 and 1):
- A. -0.2: 2 tick marks to the left of 0
- B. 1.3: 3 tick marks to the right of 1
- C. -0.5: 5 tick marks to the left of 0
- D. -0.9: 9 tick marks to the left of 0
- E. 1.6: 6 tick marks to the right of 1
- F. -0.4: 4 tick marks to the left of 0
Parent Tip: Review the logic above to help your child master the concept of rational numbers worksheet grade 6.