Multiplication of Rational Numbers

Q.

The two rational numbers which are their own multiplicative inverses are ______ .

Q. The product of two rational numbers is $\frac{-9}{16}$. If one of the numbers is $\frac{-4}{3}$, what is the other number?

1. $\frac{36}{48}$
2. $\frac{25}{64}$
3. $\frac{27}{49}$
4. $\frac{27}{64}$

Q.

Multiply $\frac{6}{13}$by the reciprocal of $-\frac{7}{16}$.

Q.

John got a price of $₹75000$ in a TV contest. He paid $\frac{1}{10}$ the price as the income tax. Out of the remaining, he gave to $\frac{1}{3}$his son, $\frac{1}{5}$to his daughter, $\frac{1}{10}$to the Red Cross Society, and the rest to his wife. How much does Johns wife get?

Q. $\text{The reciprocal of}\frac{-8}{9}\text{is}\frac{8}{9}.$

1. True
2. False

Q.

Find the reciprocal of $\frac{9}{7}$.

Q.

Find the area of a rectangular plot which is $4\frac{2}{5}m$ long and $6\frac{3}{5}m$ broad.

1. $29\frac{1}{25}{m}^2$

2. $36\frac{1}{25}{m}^2$

3. $30\frac{1}{25}{m}^2$

4. $25\frac{1}{25}{m}^2$

Q.

Calculate the area of a rectangular park whose length is $\frac{152}{5}m$ and breadth is $\frac{50}{3}m.$

1. $56\frac{2}{3}{m}^2$

2. $605\frac{2}{3}{m}^2$

3. $506\frac{2}{5}{m}^2$

4. $506\frac{2}{3}{m}^2$

Q.

Multiplicative inverse of a negative rational number is-

1. a positive rational number.

2. a negative rational number.

3. $0$

4. $1$

Q.

What is the value of the following expression?

$\frac{-45}{15}+\frac{-3}{-27}+\frac{8}{9}$

1. 2

2. -2

3. 4

4. -4

Q.

The product of a rational number and its multiplicative inverse is always________

Q. Find the perimeter of a rectangular plot of land, if its area is 440 $m^2$ and the side length is 22 m.

1. 84 m
2. 48 m
3. 88 m
4. 54 m

Q.

Cities A, B and C are at a distance of 45 km, 50 km and 55 km respectively from Raghu's home. He observed that he can cover 2 km in 10 minutes on his cycle. If he has 4 hours time limit, which city he can reach on cycle if he travels at observed speed?

1. A

2. B

3. C

4. He cannot reach any city

Q. The perimeter of the rectangular field is 50 m. If the length of the field is 13 m. Find the area of the field.

1. $150m^2$
2. $126m^2$
3. $156m^2$
4. $144m^2$

Q.

If the cost of one metre of cloth is $₹5\frac{13}{15}$, then cost of $4\frac{7}{11}$ metre of cloth is _______________.

1. $₹27\frac{1}{5}$

2. $₹15\frac{3}{5}$

3. $₹12\frac{4}{5}$

4. $₹25\frac{1}{5}$

Q.

Is -5 a multiplicative inverse of 1/5?

Q. What is the reciprocal of $\frac{-2}{5}?$

1. $\frac{-2}{5}$
2. $\frac{2}{5}$
3. $1$
4. $\frac{-5}{2}$

Q. The reciprocal of $\frac{1}{8}$ is .

1. 8
2. -8
3. $\frac{1}{8}$
4. $\frac{-1}{8}$

Q.

What is the multiplicative inverse of 0?

1. -1

2. 1

3. 0

4. Does not exist.

Q.

The perimeter of a rectangular field is 50 m. If the length of the field is 13 m. Find the area of the field. [2 MARKS]

Q. A ribbon of length $5\frac{1}{4}$ m is cut into small pieces each of length $\frac{3}{4}$ m. How many number of the small pieces will be?

Q. What is the multiplicative inverse of -24?

1. 24
2. 0
3. -24
4. $-\frac{1}{24}$

Q.

Find the reciprocal of

$8\frac{1}{9}$

Q. Cost of a burger is $₹20\frac{3}{4}$and of macpuff is $₹15\frac{1}{2}.$ Find the cost of 4 burgers and 14 macpuffs.

Q. $\text{The reciprocal of}\frac{-8}{9}\text{is}\frac{8}{9}.$

1. True
2. False

Q. Find $\frac{6}{13}÷7$

Q.

A cyclist moves with a speed of $\frac{4}{5}$ km/hr. How much distance will he cover in $2\frac{1}{2}$ hrs?

1. 2.5 km

2. 3 km

3. 2 km

4. 1.5 km

Q.

Find the product of $\frac{-49}{23}$ and its multiplicative inverse.

1. -1

2. 1

3. 0

4. -2

Q. What is the multiplicative inverse of -24?

1. 24
2. 0
3. -24
4. $-\frac{1}{24}$

Q.

Find the reciprocal of

$3\frac{2}{5}$