Calculate 4.8×10^−3−9.4×10^−6 . Express the answer in scientific notation rounding to 2 decimal places.(1 point)
To calculate 4.8×10^−3−9.4×10^−6, we need to subtract the second number from the first number.
4.8×10^−3−9.4×10^−6 = 4.8×10^(-3) - 9.4×10^(-6)
To subtract these numbers, we need to ensure they have the same exponent. In this case, they both have negative exponents, so we can directly subtract them:
4.8×10^(-3) - 9.4×10^(-6) = 4.8×10^(-3) - 0.0094×10^(-3)
= (4.8 - 0.0094)×10^(-3)
= 4.7906×10^(-3)
To express the result in scientific notation rounding to 2 decimal places, we have 4.7906, which rounded to 2 decimal places is 4.79. Therefore, the answer is:
4.79×10^(-3)
To calculate the expression 4.8×10^−3 − 9.4×10^−6, we can subtract the coefficients of the given numbers while keeping the base (10) the same.
4.8 - 9.4 = -4.6 (rounded to 2 decimal places)
For the exponent, we subtract the exponents of the given numbers since they have the same base:
10^(-3) - 10^(-6) = 10^(-3) -(1/10^6) = 10^(-3) - 10^(-6) = 10^(-3) - 0.000001 = 0.001 - 0.000001 = 0.000999
So the expression 4.8×10^−3 − 9.4×10^−6 is equal to -4.6×10^(-3).
Rounding this to 2 decimal places, we get -4.60×10^(-3).
To calculate 4.8×10^−3 - 9.4×10^−6, we need to convert both numbers to the same exponent.
First, let's convert 4.8×10^−3 to scientific notation with the same exponent as 10^−6:
4.8×10^−3 = 4.8×(10^−3) = 4.8×(10^−3)/(10^−6) = 4.8×10^(−3−(−6)) = 4.8×10^3.
Now, we can subtract 9.4×10^−6 from 4.8×10^3:
4.8×10^3 - 9.4×10^−6 = 4.8×10^3 - 0.0094×10^3 = (4.8 - 0.0094)×10^3 = 4.7906×10^3.
Rounding this answer to two decimal places, we get 4.79×10^3.