Write each number is scientific notation.

291.7

0.0960

is it 2.917 x 10^ 3

and 9.60 x 10^-2?

help!! thanks!!

The firsr answer is 2.917 x 10^2, not 10^3.

291.7 = 2.917 x 10^ 3 and

0.0960 = 9.60 x 10^-2

To express the numbers in scientific notation, follow these steps:

1. Move the decimal point in the original number to create a number between 1 and 10.
- For 291.7, you can move the decimal point to the left so it becomes 2.917.

2. Count the number of places moved and use it as the exponent of 10.
- For 291.7, the decimal point was moved 3 places to the left, so the exponent becomes 3.

3. Write the number in scientific notation by multiplying the decimal part by 10 raised to the exponent.
- Thus, 291.7 can be written as 2.917 x 10^3.

Now, let's do the same for 0.0960:

1. Move the decimal point to create a number between 1 and 10.
- In this case, you need to move the decimal point to the right, so it becomes 9.60.

2. Count the number of places moved and use it as the exponent, but with a negative sign.
- Since the decimal point was moved 2 places to the right, the exponent becomes -2.

3. Write the number in scientific notation.
- Therefore, 0.0960 can be represented as 9.60 x 10^-2.

So the correct answers are:
- 291.7 in scientific notation is 2.917 x 10^3
- 0.0960 in scientific notation is 9.60 x 10^-2.

To write a number in scientific notation, follow these steps:

1. Identify the non-zero digits in the number.
- For 291.7, the non-zero digits are 2, 9, 1, and 7.
- For 0.0960, the non-zero digits are 9 and 6.

2. Determine the decimal point's new position so that there is only one non-zero digit to its left. Count the number of places the decimal point needs to move to achieve this.
- For 291.7, the decimal point needs to move three places to the left to be after the 2, resulting in 2.917.
- For 0.0960, the decimal point needs to move two places to the right to be after the 9, resulting in 9.60.

3. Express the number using the form a × 10^n, where a is the new decimal number from step 2, and n is the number of places the decimal point was moved.
- For 291.7, the number in scientific notation is 2.917 × 10^2. The exponent is positive because the decimal point moved to the left.
- For 0.0960, the number in scientific notation is 9.60 × 10^-2. The exponent is negative because the decimal point moved to the right.

So, correct scientific notation for the given numbers is:
- 291.7 = 2.917 × 10^2
- 0.0960 = 9.60 × 10^-2