Question

Find (4.54 x 108) - (3.98 x 108). When you regroup the decimals, what do you notice about their difference? How does this affect the exponent of the difference? The difference (4.54 x 108) - (3.98 x 108) is equal to The decimal difference is so the exponent of 10 will in the answer. (Use scientific notation. Use the multiplication symbol in the math palette as needed.)​

Answer 1

When finding the difference between numbers in scientific notation with the same exponent, we subtract the decimals and adjust the exponent accordingly.

Step-by-step explanation:

When finding the difference between (4.54 x 108) and (3.98 x 108) in scientific notation, we need to consider the decimal difference and its effect on the exponent.

To find the difference, we subtract the second decimal from the first decimal:

(4.54 x 108) - (3.98 x 108) = 0.56 x 108.

Since the decimal difference is 0.56, we need to adjust the exponent so that there is only one non-zero digit to the left of the decimal point. In this case, the exponent remains the same: 10^8. Therefore, the difference is 0.56 x 10^8.