Negatives and Reciprocals

Q.

The reciprocal of a positive rational number is always negative. If true then enter 1 and if false then enter 0

1. True
2. False

Q. The rational numbers, which are their own reciprocals are

1. -1 and 2
2. 1 and -2
3. 1 and -1
4. 2 and -2

Q. Find the reciprocal of $\frac{2}{7}\times \frac{1}{5}.$

1. $\frac{35}{2}$
2. $\frac{10}{3}$
3. $-\frac{35}{2}$
4. $\frac{2}{35}$

Q.

Write the rational numbers that are equal to their reciprocals.

Q.

Which of the following rational numbers are reciprocals of themselves?

1. 1 and -1
2. 2 and -2
3. -1 and 2
4. 1 and -2

Q.

Which of the following options are reciprocal to each other?

1. 1 and -1

2. 1 and 0

3. -1 and 0

4. None of these

Q. Write the reciprocals of the following numbers.
(i) 7

(ii) $\frac{11}{3}$

(iii) $\frac{5}{13}$

(iv) 2

(v) $\frac{6}{7}$

Q.

What is the meaning of multiplicative identity ? And what is it ?this is not from any byjus videos, this question was in one of my school's maths Olympiad practice worksheet.

Q. Like fractions for the given pair of fractions $\frac{1}{2}$ and $\frac{3}{4}$ are.

1. $\frac{2}{4}\mathrm{and}\frac{3}{4}$
2. $\frac{2}{6}\mathrm{and}\frac{3}{6}$
3. $\frac{1}{2}\mathrm{and}\frac{6}{8}$
4. $\frac{1}{2}\mathrm{and}\frac{3}{8}$

Q. Burst the rational numbers between $\frac{-3}{5}\text{and}\frac{-5}{3}$?

1. $\frac{-13}{15}$
2. 0
3. -1
4. $\frac{-28}{15}$
5. -2
6. $\frac{-4}{3}$
7. $\frac{-16}{15}$
8. $\frac{-11}{15}$

Q. Which of the following statements are true and which are fals?
(i) The product of a positive integer and a negative integer is negative.
(ii) The product of two negative integers is a negative integer.
(iii) The product of three negative integers is a negative integer.
(iv) Every integer when multiplied with −1 gives its multiplicative inverse.