Question

What is 96,989,200 written in scientific notation?

a) "9.69892 × 10⁷"
b) "9.69892 × 10⁸"
c) "9.69892 × 10⁶"
d) "9.69892 × 10⁹"

Answer 1

The correct scientific notation for the number 96,989,200 is 9.69892 × 10⁷, which corresponds to option (a) among the choices given.

Step-by-step explanation:

To express the number 96,989,200 in scientific notation, we need to rewrite it as the product of a number between 1 and 10 and a power of 10. Starting with the original number, we move the decimal point 7 places to the left so the number is between 1 and 10, which gives us 9.69892.

Since we moved the decimal 7 places, we multiply by 10 to the power of 7 to account for the shift. The correct scientific notation for 96,989,200 is therefore 9.69892 × 10⁷.

Here is the complete scientific notation for each option given:

1. Option a: 9.69892 × 10⁷
2. Option b: 9.69892 × 10⁸ Incorrect because the decimal is shifted 8 places.
3. Option c: 9.69892 × 10⁶ Incorrect because the decimal is shifted 6 places.
4. Option d: 9.69892 × 10⁹ Incorrect because the decimal is shifted 9 places.

The correct answer is a) 9.69892 × 10⁷.