# Rational Numbers

## Trending Questions

**Q.**

Why $\pi $ is irrational and $\frac{22}{7}$ is rational?

**Q.**

Is pi a rational or irrational number?

**Q.**

Every rational number is an integer. Why or why not? Give example

**Q.**

Every rational number is a whole number? True or false, also give reason of your answer.

- True
- False

**Q.**

Express −4298 as a rational number with denominator 7.

**Q.**

Express each of the following rational numbers in standard form :

(i) −1230 (ii) −1449 (iii) 24−64 (iv) −36−63

**Q.**

Which of the two rational numbers is greater in the given pair ?

(i) 38 or 0 (ii) −29 or 0 (iii) −34 or 14

(iv) −57 or −47 (v) 23 or 34 (vi) −12 or -1

**Q.**Question 142

Shaline has to cut out circles of diameter 114 cm from an aluminium strip of dimensions 834 cm by 114 cm. How many full circles can Shalini cut? Also, calculate the wastage of the aluminium strip.

**Q.**

Express −35 as a rational number with denominator ?

(i) 20 (ii) -30 (iii) 35 (iv) -40

**Q.**

Sum of a rational and an irrational number is a/an

rational number

irrational number

real number

We can't add a rational and an irrational number

**Q.**

Express −4860 as a rational number with denominator 5.

**Q.**Question 96

Every whole number is a rational number

**Q.**Question 148

Roller coaster at an amusement park is 23 m high. If a new roller coaster is built that is 35 times the height of the existing coaster, what will be the height of the new roller coaster?

**Q.**

Which of the following statements are true?

(i) Every natural number is a rational number.

(ii) Every integer is a rational number.

(iii) 0 is a whole number but it is not a rational number.

(i), (ii) and (iii)

(i) and (ii)

(ii) and (iii)

(i)

**Q.**

Who discovered rational numbers? What are it's applications in our daily lives?

**Q.**Which rational number has no reciprocal?

- 1
- -1
- 0
- None of the above

**Q.**

All integers are rational numbers. Justify the statement

**Q.**Question 147

The overall width in cm of several wide-screen televisions are 97.28 cm, 9849 cm, 98125 cm and 97.94 cm. Express these numbers as rational numbers in the form pq and arrange the widths in ascending order.

**Q.**

Ten hundred thousand $=$________ million

**Q.**

The table shows the portion of some common materials that are recycled.

Arrange the rate of recycling the materials from the greatest to the smallest.

Material | Recycled |

Paper | $\frac{5}{11}$ |

Aluminium cans | $\frac{5}{8}$ |

Glass | $\frac{2}{5}$ |

Scrap | $\frac{3}{4}$ |

**Q.**

Why is zero called the identity for the addition of rational numbers

**Q.**Question 45

The rational number 10.11 in the form pq is

**Q.**

Question 151

A skirt that is 3578 cm long has a hem of 318 cm. How long will the skirt be if the hem is let down?

**Q.**Question 93

If x and y are two rational numbers such that x > y, then x - y is always a positive rational number.

**Q.**Question 97

0 is whole number but it is not a rational number

**Q.**A number which can be expressed as pq, where p and q are integers and q≠0, is known as a/an

- natural number
- whole number
- rational number
- integer

**Q.**

Fill in the blanks :

(i) The product of two positive rational numbers is always

(ii) The product of two negative rational numbers is always

(iii) If two rational numbers have opposite signs then their product is always

(iv) The reciprocal of a positive rational number is

(v) Rational number 0 has

(vi) The product of a rational number and its reciprocal is

(vii) The numbers

(viii) If M is reciprocal on N, then the reciprocal of N is

**Q.**

Express each of the following as a rational number in the form pq:

(i) 6−1 (ii) (−7)−1 (iii) (14)−1 (iv) (−4)−1×(−32)−1 (v) (35)−1×(52)−1

**Q.**Express $\frac{-42}{98}$ as a rational number with denominator 7.

**Q.**Why is 0 considered as an even number?