1. To represent the rational numbers -4/6, -2/6, 0/6, and 3/6 on a number line:
- Draw a horizontal line and mark a point for 0 in the middle.
- Mark points to the left of 0 for negative numbers and to the right for positive numbers.
- Divide the space between 0 and 1 (and 0 and -1) into 6 equal parts.
- Place a point at the 4th mark to the left of 0 for -4/6.
- Place a point at the 2nd mark to the left of 0 for -2/6.
- Place a point at 0 for 0/6.
- Place a point at the 3rd mark to the right of 0 for 3/6.
2. Four equivalent rational numbers of 5/6 are:
- 10/12 (multiply numerator and denominator by 2)
- 15/18 (multiply numerator and denominator by 3)
- 20/24 (multiply numerator and denominator by 4)
- 25/30 (multiply numerator and denominator by 5)
3. Fill in the box:
a. 3/4 = -18/24 (since 3 × 6 = 18, and 4 × 6 = 24; the negative sign is applied to the numerator)
b. 8/24 = 7/21 (simplify 8/24 to 1/3, then multiply numerator and denominator by 7 to get 7/21)
c. 36/63 = 4/7 (divide both numerator and denominator by 9)
4. Find the absolute value:
a. |-25| = 25
b. |71| = 71
5. Arrange the rational numbers 3/2, 1/6, -4/3, 6/1, 5/7 in descending form:
- Convert to decimals or find a common denominator to compare:
3/2 = 1.5, 1/6 ≈ 0.1667, -4/3 ≈ -1.333, 6/1 = 6, 5/7 ≈ 0.714
- Descending order: 6/1, 3/2, 5/7, 1/6, -4/3
Parent Tip: Review the logic above to help your child master the concept of rational numbers worksheet grade 7.
