Calculate 4.8 x 10^-3 - 9.4 x 10^-6. Express the answer in scientific notation rounding to 2 decimal places

1 answer

To subtract numbers in scientific notation, the exponents must be the same. To achieve this, we need to convert 4.8 x 10^-3 and 9.4 x 10^-6 to have the same exponent.

4.8 x 10^-3 = 0.0048 x 10^0 (dividing the exponent by 3)
9.4 x 10^-6 = 0.0094 x 10^0 (dividing the exponent by 6)

Now that they have the same exponent, we can subtract them:

0.0048 x 10^0 - 0.0094 x 10^0 = (0.0048 - 0.0094) x 10^0

0.0048 - 0.0094 = -0.0046

Therefore, the answer is -0.0046 x 10^0.

To express the answer in scientific notation rounded to 2 decimal places, we need to move the decimal point in -0.0046 two places to the right.

-0.0046 x 10^0 = -0.46 x 10^-2

Rounding to 2 decimal places, the answer is approximately -0.46 x 10^-2.