Steps to changing the power of 10 in scientific notation

Answer 1

To change the power of 10 in scientific notation, you can follow these steps:

1. Identify the current power of 10 in the scientific notation. It is typically represented by the letter "E" or "×10".
2. Determine the desired power of 10 you want to change it to.
3. Calculate the exponent difference between the current and desired power of 10 by subtracting the current exponent from the desired exponent. For example, if the current power of 10 is 4 and you want to change it to 2, the exponent difference would be 2 - 4 = -2.
4. Multiply or divide the number in scientific notation by 10 raised to the exponent difference calculated in the previous step. If the exponent difference is positive, you multiply the number by 10 raised to that exponent. If the exponent difference is negative, you divide the number by 10 raised to the absolute value of that exponent.

For example, let's say you have the number 6.7 × 10^6 in scientific notation and you want to change the power of 10 to 8.

1. The current power of 10 is 6.
2. The desired power of 10 is 8.
3. The exponent difference is 8 - 6 = 2.
4. Multiply the number 6.7 by 10 raised to the exponent difference: 6.7 × 10^2 = 670.

Therefore, the number changes from 6.7 × 10^6 to 670 × 10^8.