Question
(a) Arrange the rational numbers −710, 5−8, 2−3 in ascending order.
(b) Arrange the rational numbers 43, 172, 518 in ascending order.
[4 MARKS]
(b) Arrange the rational numbers 43, 172, 518 in ascending order.
[4 MARKS]
Answer:
:
Each part: 2 Marks
(a) First write the rational numbers with positive denominator = −710, 5−8, 2−3.
LCM of denominators (LCM of 10, 8, 3 is 120)
−710 = (−7×12)(10×12)=−84120
−58 = (−5×15)(8×15)=−75120
−23 = (2×40)(3×40)=−80120
Comparing the numerators of these numbers, we get:
- 84 < - 80 < - 75
∴ −84120 < −80120 < −75120;
−710 < −23 < −58.
(b) 43, 172, 518
LCM of denominators (LCM of 3, 2, 18 is 18)
43 = (4×6)(3×6)=2418
172 = (17×9)(2×9)=15318
518 = (5×1)(18×1)=518
Comparing the numerators of these numbers, we get:
5 < 24 < 153
∴ 518 < 2418 < 15318;
518 < 43 < 172.
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:
Each part: 2 Marks
(a) First write the rational numbers with positive denominator = −710, 5−8, 2−3.
LCM of denominators (LCM of 10, 8, 3 is 120)
−710 = (−7×12)(10×12)=−84120
−58 = (−5×15)(8×15)=−75120
−23 = (2×40)(3×40)=−80120
Comparing the numerators of these numbers, we get:
- 84 < - 80 < - 75
∴ −84120 < −80120 < −75120;
−710 < −23 < −58.
(b) 43, 172, 518
LCM of denominators (LCM of 3, 2, 18 is 18)
43 = (4×6)(3×6)=2418
172 = (17×9)(2×9)=15318
518 = (5×1)(18×1)=518
Comparing the numerators of these numbers, we get:
5 < 24 < 153
∴ 518 < 2418 < 15318;
518 < 43 < 172.
Was this answer helpful ?
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