1. Sum of additive identity and a number 8 gives ?
a. −8 b. 8 c. 0 d. none
2. Rational numbers that are equal to their reciprocals are ?
a. 1&0 b. −1& 0 c. 1 & −1 d. none
3. The other name of multiplicative inverse is ?
a. Inverse b. identity c. rational d. reciprocal
4. Which is not a perfect square in the below ?
a. 121 b. 648 c. 1225 d. 169
5. The numbers between 682 & 692
a. 68 b. 136 c. 138 d. 69

Let's go through each question one by one:

### 1. **Sum of additive identity and a number 8 gives?**
   - The additive identity is **0**. Adding 0 to any number leaves the number unchanged.
   \[
   0 + 8 = 8
   \]
   **Answer: (b) 8**

### 2. **Rational numbers that are equal to their reciprocals are?**
   - For a rational number \( x \), \( x = \frac{1}{x} \) implies that \( x^2 = 1 \), so \( x = 1 \) or \( x = -1 \).
   \[
   \frac{1}{1} = 1 \quad \text{and} \quad \frac{1}{-1} = -1
   \]
   **Answer: (c) 1 & −1**

### 3. **The other name of multiplicative inverse is?**
   - The multiplicative inverse of a number is the number that, when multiplied by it, results in 1. This is also called the **reciprocal**.
   \[
   a \times \frac{1}{a} = 1
   \]
   **Answer: (d) reciprocal**

### 4. **Which is not a perfect square?**
   - A perfect square is a number that can be written as \( n^2 \) for some integer \( n \).
     - \( 121 = 11^2 \)
     - \( 1225 = 35^2 \)
     - \( 169 = 13^2 \)
     - \( 648 \) is **not** a perfect square.
   **Answer: (b) 648**

### 5. **The numbers between 682 & 692**
   - The difference between 692 and 682 is:
   \[
   692 - 682 = 10
   \]
   So, the correct option indicating the count of numbers is:
   \[
   \text{Numbers in between are } 683, 684, 685, \dots, 691 \quad \text{(Total: 9 numbers)}
   \]
   **Answer: (d) 69**

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Here are 5 related questions for practice:
1. What is the multiplicative identity?
2. What is the sum of the additive inverse of 5 and 3?
3. What is the square root of 1225?
4. Which rational numbers are equal to their squares?
5. Find the sum of all integers between 200 and 210.

**Tip**: For any number \( x \), the reciprocal is always \( \frac{1}{x} \), and the multiplicative identity is always 1.

1. Sum of additive identity and a number 8 gives?
a. −8 b. 8 c. 0 d. none
2. Rational numbers that are equal to their reciprocals are?
a. 1&0 b. −1& 0 c. 1 & −1 d. none
3. The other name of multiplicative inverse is?
a. Inverse b. identity c. rational d. reciprocal
4. Which is not a perfect square in the below?
a. 121 b. 648 c. 1225 d. 169
5. The numbers between 682 & 692
a. 68 b. 136 c. 138 d. 69

This set of math questions covers important topics like additive identity, rational numbers that equal their reciprocals, identifying the multiplicative inverse (reciprocal), and recognizing non-perfect squares. It is aimed at students in Grades 6-8.

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