What is the value of 1.8×10^5?

The value of 1.8×10^5 is **180,000**. This number is expressed in scientific notation, which is a way to represent large or small numbers using powers of 10. In this case, 1.8×10^5 means 1.8 multiplied by 10 raised to the power of 5.

FAQs:

1. What is scientific notation?

Scientific notation is a way to express very large or very small numbers using powers of 10.

2. How does scientific notation work?

In scientific notation, a number is written in the form a x 10^n, where “a” is a number between 1 and 10 (excluding 10) and “n” is an integer that represents the power of 10.

3. What does the ‘^’ symbol mean in scientific notation?

The ‘^’ symbol denotes an exponent or power. In scientific notation, it indicates the power of 10 that the number is multiplied by.

4. How do you convert numbers to scientific notation?

To convert a number to scientific notation, move the decimal point to create a number between 1 and 10. The number of places you move the decimal point determines the power of 10.

5. Can you provide an example of converting a number to scientific notation?

Sure! Let’s convert the number 820,000 to scientific notation. We move the decimal point three places to the left, resulting in 8.2. Therefore, 820,000 can be written as 8.2 x 10^5.

6. How do you multiply numbers in scientific notation?

To multiply numbers in scientific notation, multiply the coefficients and add the exponents of 10.

7. Can you provide an example of multiplying numbers in scientific notation?

Certainly! Let’s multiply 2.3 x 10^4 by 1.5 x 10^3. Multiply 2.3 by 1.5 to get 3.45, and add the exponents 4 and 3 to get 7. Therefore, the result is 3.45 x 10^7.

8. How do you divide numbers in scientific notation?

To divide numbers in scientific notation, divide the coefficients and subtract the exponent of the divisor from the exponent of the dividend.

9. Can you provide an example of dividing numbers in scientific notation?

Of course! Let’s divide 8.2 x 10^5 by 2.6 x 10^2. Divide 8.2 by 2.6 to get 3.15, and subtract the exponent 2 from 5 to get 3. Therefore, the result is 3.15 x 10^3.

10. How do you add and subtract numbers in scientific notation?

To add or subtract numbers in scientific notation, ensure that the exponents are the same and perform the operation on the coefficients.

11. Can you provide an example of adding or subtracting numbers in scientific notation?

Certainly! Let’s add 1.2 x 10^4 to 2.4 x 10^4. Since the exponents are the same, we can add the coefficients 1.2 and 2.4 to get 3.6. Therefore, the result is 3.6 x 10^4.

12. Why is scientific notation useful?

Scientific notation is useful for representing very large or very small numbers in a concise and standardized way. It simplifies calculations and allows for easier comparison of numbers with different magnitudes.

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