Intoduction to Properties of Numbers

Q.

What is the additive inverse of $-\left(-\frac{2}{3}\right)$?

Q.

What is the additive inverse of $-\frac{2}{9}$?

Q.

Write the additive inverse of each of the following

$-\frac{2}{9}$

Q.

For rational numbers, zero (0) is a/an ____.

1. additive identity

2. multiplicative identity

3. multiplicative inverse identity for rational numbers

4. None of the above

Q.

What is the additive inverse of $\frac{-6}{-15}$?

Q. Match the following with the property represented by them.

1. Closure Property
2. Commutative Property
3. Associative Property

Q.

$\text{If}\frac{(8x+1)}{(3x+2)}=2,\text{then find the value of x.}$

1. $\frac{5}{4}$

2. $\frac{5}{2}$

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

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

Q.

If the product of $0.1$and $10$is $1$. then $0.1$ is ____________ of $10$

Q. Match the correct answer.

1. \N
2. 1
3. 7
4. 12

Q.

The reciprocal of -10 is

1. 0.1

2. - 0.1

3. 0.01

4. - 0.01

Q. What is the additive identity for a number x?

1. 0
2. x
3. -x
4. 1

Q. Which of the following is the multiplicative identity?

1. 0
2. 1
3. -1
4. 2

Q. Which of the following expressions shows that rational numbers are associative under multiplication?

1. $\frac{2}{3}\times \left(\frac{6}{7}\times \frac{3}{5}\right)=\left(\frac{2}{3}\times \frac{6}{7}\right)\times \frac{3}{5}$
2. $\frac{2}{3}\times \left(\frac{6}{7}\times \frac{3}{5}\right)=\frac{2}{3}\times \left(\frac{3}{5}\times \frac{6}{7}\right)$
3. $\frac{2}{3}\times \left(\frac{6}{7}\times \frac{3}{5}\right)=\left(\frac{2}{3}\times \frac{3}{5}\right)\times \frac{6}{7}$
4. $\left(\frac{2}{3}\times \frac{6}{7}\right)\times \frac{3}{5}=\left(\frac{6}{7}\times \frac{2}{3}\right)\times \frac{3}{5}$

Q.

The reciprocal of zero does not exist.

1. True
2. False

Q. 0 is the additive identity.

1. True
2. False

Q. 1 is the multiplicative identity as well as the additive identity.

1. True
2. False

Q. Choose the correct cards.

1. $5\times 1=5$
2. Associativity
3. Commutativity
4. $10+0=10$
5. $(5+3)+2=5+(3+2)$
6. Multiplicative Identity
7. Additive Identity
8. $8\times 7=7\times 8$