Calculate 4.8×10−3−9.4×10−6 . Express the answer in scientific notation rounding to 2 decimal places.(1 point)
To calculate the difference between 4.8×10^(-3) and 9.4×10^(-6), subtract the second number from the first number:
4.8×10^(-3) - 9.4×10^(-6)
First, let's convert both numbers to the same exponent. We can do this by adjusting the exponent of 9.4×10^(-6) to match 10^(-3):
4.8×10^(-3) - 0.0094×10^(-3)
Now, subtract the decimal numbers:
4.8 - 0.0094 = 4.7906
Combine this result with the exponent of 10^(-3):
4.7906×10^(-3)
Lastly, round the decimal to two decimal places:
4.79×10^(-3)
Therefore, the answer expressed in scientific notation, rounded to two decimal places, is 4.79×10^(-3).
When subtracting numbers in scientific notation, we need to ensure that the exponents are the same.
4.8×10^(-3) = 0.0048
9.4×10^(-6) = 0.0000094
Now we can subtract:
0.0048 - 0.0000094 = 0.0047906
Rounded to 2 decimal places, this is 0.00.
Written in scientific notation, this is 0.00 x 10^0.
To calculate the expression 4.8×10^(-3) - 9.4×10^(-6), we need to subtract the numbers separately.
First, we subtract the coefficients (the numbers before the power of 10):
4.8 - 9.4 = -4.6
Next, we subtract the exponents:
10^(-3) - 10^(-6) = 10^(-3) - (1/1,000,000) = 10^(-3) - 0.000001 = 0.001 - 0.000001 = 0.000999
Now we put the coefficient and exponent together:
-4.6×10^(-3) + 0.000999 = -4.600999×10^(-3)
To express the answer in scientific notation rounding to 2 decimal places, we round the coefficient to two decimal places:
-4.6×10^(-3) = -4.60×10^(-3)
Therefore, the answer, expressed in scientific notation, rounded to 2 decimal places is -4.60×10^(-3).