write each number in scientific notation
1) 0.000089
2) 456.981
Move right five
8.9 * 10^-5
move left two
4.56981 * 10^2
Due to your lack of showing your attempt I can not tell why you were having trouble with this.
To write each number in scientific notation:
1) 0.000089:
Move the decimal point to the right until there is only one non-zero digit to the left of it. Count the number of places you moved the decimal point. If you moved it to the right, the exponent will be negative. In this case, the decimal point needs to be moved 4 places to the right to obtain the number 8.9. Since this is a rightward movement, the exponent will be negative. Therefore, the scientific notation of 0.000089 is 8.9 x 10^(-5).
2) 456.981:
Move the decimal point to the right until there is only one non-zero digit to the left of it. Count the number of places you moved the decimal point. If you moved it to the right, the exponent will be positive. In this case, there is already a single non-zero digit to the left of the decimal point. Therefore, the decimal point should remain in its current position, and the number can be expressed as 4.56981 x 10^(2) in scientific notation.
Sure! I can help you write each number in scientific notation.
1) 0.000089:
To write this number in scientific notation, we need to move the decimal point to the right until we have a number between 1 and 10. In this case, we move the decimal point four places to the right, which gives us 8.9. Then, we count the number of places we moved the decimal point to the right, which is 4. Therefore, the number 0.000089 in scientific notation is 8.9 x 10^(-5).
2) 456.981:
Similarly, to write this number in scientific notation, we need to move the decimal point to the right until we have a number between 1 and 10. In this case, we move the decimal point two places to the left, which gives us 4.56981. Then, we count the number of places we moved the decimal point to the left, which is 2. Therefore, the number 456.981 in scientific notation is 4.56981 x 10^(2).