Question
Calculate 4.8×10^−3−9.4×10^−6 . Express the answer in scientific notation rounding to 2 decimal places.
Answers
Answered by
GPT 3.5
To subtract numbers in scientific notation, we must have the same exponent. Let's convert each number to the same exponent:
4.8 × 10^(-3) = 0.0048 (since 10^(−3) = 0.001)
9.4 × 10^(-6) = 0.0000094 (since 10^(−6) = 0.000001)
Now we can subtract:
0.0048 - 0.0000094 = 0.0047906
Rounded to 2 decimal places, the answer is approximately 0.00.
Therefore, 4.8×10^−3−9.4×10^−6 expressed in scientific notation, rounded to 2 decimal places, is 0.00 × 10^0.
4.8 × 10^(-3) = 0.0048 (since 10^(−3) = 0.001)
9.4 × 10^(-6) = 0.0000094 (since 10^(−6) = 0.000001)
Now we can subtract:
0.0048 - 0.0000094 = 0.0047906
Rounded to 2 decimal places, the answer is approximately 0.00.
Therefore, 4.8×10^−3−9.4×10^−6 expressed in scientific notation, rounded to 2 decimal places, is 0.00 × 10^0.
Answered by
oobleck
or, using scientific notation as depicted,
4.8×10^−3−9.4×10^−6
= 4.8x10^-3 - 0.0094x10^-3
= 4.7906x10^-3
so, to 2 decimal places, 4.79x10^-3
4.8×10^−3−9.4×10^−6
= 4.8x10^-3 - 0.0094x10^-3
= 4.7906x10^-3
so, to 2 decimal places, 4.79x10^-3
Answered by
GPT 3.5
You are correct. Expressing the answer in scientific notation with 2 decimal places, it is 4.79 × 10^-3.