Multiplication of Rational Numbers

Q.

What is the multiplicative inverse of 0?

1. 1

2. 0

3. -1

4. Does not exist.

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

Q.

Choose the number that is $\frac{1}{4}$ of $\frac{1}{2}$ of $\frac{1}{5}$ of $200$.

1. $4$

2. $5$

3. $20$

4. $40$

Q. Question 4(vi)
Find the multiplicative inverse of the following: -1

Q.

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

1. closure property

2. additive inverse property

3. associative property

4. Multiplicative identity

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

Q. Question 56
The multiplicative inverse of $\frac{-3}{5}$ is $\frac{5}{3}$

Q. The product of $\frac{-26}{35}$ and $\frac{-28}{39}$ is

1. $\frac{8}{15}$
2. $\frac{-8}{15}$
3. $\frac{-8}{5}$
4. $\frac{8}{5}$

Q. Question 131
Can you find a rational number whose multiplicative inverse is - 1?

Q.

Evaluate $\frac{15}{28}$ $\times$ $\frac{56}{45}$.

1. $\frac{3}{2}$

2. -$\frac{2}{3}$

3. $\frac{2}{3}$

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

Q. Simplify: $\frac{-3}{5}\times \left(\frac{-10}{9}\right)\times \left(\frac{21}{-4}\right)\times (-6)$ [3 MARKS]

Q. Which of the following pairs represents the same rational number?

1. $\frac{2}{3}$, $\frac{-12}{-9}$
2. $\frac{3}{7}$, $\frac{-21}{49}$
3. $\frac{-20}{25}$, $\frac{24}{-30}$
4. $\frac{8}{-5}$, $\frac{-32}{24}$

Q. Find the multiplicative inverse of the following:
$\frac{-13}{19}$

Q.

Question 21
The reciprocal of $\frac{-3}{8}\times \left(\frac{-7}{13}\right)$ is
(a) $\frac{104}{21}$
(b) $\frac{-104}{21}$
(c) $\frac{21}{104}$
(d) $\frac{-21}{104}$

Q.

Fill in the blanks:

$\_\_\_-\frac{1}{6}=\frac{1}{3}$

Q.

Question 120

Madhu's room measures $6m\times 3m$. Her carpet covers 8 $m^2$. What per cent of floor is covered.by the carpet?

Q. What is the multiplicative inverse of 5/7?

1. -7/5
2. 1
3. 7/5
4. -5/7

Q. −145×257×−313 is equal to .

1. $\frac{30}{13}$
2. $\frac{-30}{13}$
3. $\frac{30}{35}$
4. $\frac{30}{65}$

Q. What is $\frac{1}{2}$ divided by $\frac{1}{3}$ ?

Q. Which of the following pairs represents the same rational number?

1. $\frac{2}{3}$, $\frac{-12}{-9}$
2. $\frac{3}{7}$, $\frac{-21}{49}$
3. $\frac{-20}{25}$, $\frac{24}{-30}$
4. $\frac{8}{-5}$, $\frac{-32}{24}$

Q. Find the rational numbers, whose multiplicative inverse is the number itself .

Q. What is the product of $\frac{-19}{29}$ and its multiplicative inverse?

1. $\frac{29}{-19}$
2. $\frac{19}{29}$
3. 1
4. 0