https://file.aiquickdraw.com/mathbot/file/1727083839894dpqx9p97.jpg

Here are the solutions to the questions from the image you uploaded:

1. **Which of the following is a natural number?**
   - **Answer: B. 5**
   - Explanation: A natural number is a positive integer starting from 1. Among the options, 5 is the only natural number.

2. **Which of the following is a rational number?**
   - **Answer: A. 3/2**
   - Explanation: A rational number is any number that can be expressed as a fraction of two integers. 3/2 fits this definition.

3. **Which of the following is not an irrational number?**
   - **Answer: D. √16**
   - Explanation: √16 equals 4, which is a rational number. The other options involve square roots of non-perfect squares or irrational constants.

4. **Which of the following is not a rational number?**
   - **Answer: D. 1.020020002...**
   - Explanation: A rational number is one that can be expressed as a fraction. 1.020020002... is a non-terminating, non-repeating decimal, which makes it irrational.

5. **Among which two integers does the value of √3 lie?**
   - **Answer: B. (1 and 2)**
   - Explanation: The value of √3 is approximately 1.732, so it lies between 1 and 2.

6. **Which of the following numbers will be to the right of √5 on the number line?**
   - **Answer: D. 3**
   - Explanation: √5 is approximately 2.236. The number 3 is greater than √5 and thus lies to the right of it on the number line.

7. **Multiplying √3 by which of the following numbers would become a rational number?**
   - **Answer: B. √3**
   - Explanation: Multiplying √3 by √3 results in 3, which is a rational number.

8. **The number 1.5/2.35 is a...**
   - **Answer: A. Rational number**
   - Explanation: The number is a ratio of two decimals, which can be expressed as a fraction, so it is rational.

Do you want further details or have any specific questions? 

Here are 5 related questions you could explore next:
1. What is the difference between natural and whole numbers?
2. Can a repeating decimal always be considered a rational number?
3. Why is the square root of non-perfect squares considered irrational?
4. What is the significance of irrational numbers in number theory?
5. How can you determine whether a given fraction represents a rational number?

**Tip:** A number is irrational if it cannot be written as a fraction of two integers and its decimal form neither terminates nor repeats.

Math-related questions about natural numbers, rational/irrational numbers, and square roots.

Explore questions on natural numbers, rational and irrational numbers, and square roots. Solve step-by-step problems on identifying different types of numbers and locating square roots on the number line. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation