Advertisements
Advertisements
Question
Give four rational numbers equivalent to `(-2)/7`.
Advertisements
Solution
Rational number = `(-2)/7`
We know that the equivalent number can be found by multiplying or dividing the numerator and denominator of a rational number by the same number.
Thus, `(- 2)/7 = (- 2 xx 2)/(7 xx 2) = (- 4)/14`
`(- 2)/7 = (- 2 xx 3)/(7 xx 3) = (- 6)/21`
`(- 2)/7 = (- 2 xx 4)/(7 xx 4) = (- 8)/28`
`(- 2)/7 = (- 2 xx 5)/(7 xx 5) = (-10)/35`
Therefore, there are four rational numbers equivalent to the given rational number
`(- 4)/14, (- 6)/21, (- 8)/28, "and" (-10)/35`
RELATED QUESTIONS
List five rational numbers between `(-4)/5 "and" (-2)/3`.
Write four more rational numbers in the following pattern:
`(-3)/5, (-6)/10,(-9)/15, (-12)/20, ...`
Give four rational numbers equivalent to `5/(-3)`.
Give four rational numbers equivalent to `4/9`.
Draw the number line and represent the following rational numbers on it:
`(-5)/8`
Which of the following pairs represent the same rational number?
`1/3 "and" (-1)/9`
Fill in the box with the correct symbol out of >, <, and =.
`(-5)/7 square2/3`
The product of two rational numbers is –7. If one of the number is –5, find the other?
Four friends had a competition to see how far could they hop on one foot. The table given shows the distance covered by each.
| Name | Distance covered (km) |
| Seema | `1/25` |
| Nancy | `1/32` |
| Megha | `1/40` |
| Soni | `1/20` |
How farther did Soni hop than Nancy?
Which is greater in the following?
`-3 5/7, 3 1/9`
