Calculate 4.8×10^−3−9.4×10^−6 . Express the answer in scientific notation rounding to 2 decimal places.
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.
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
You are correct. Expressing the answer in scientific notation with 2 decimal places, it is 4.79 × 10^-3.
To subtract numbers written in scientific notation, we first need to make sure that both numbers have the same exponent. In this case, we have:
4.8 × 10^(-3) - 9.4 × 10^(-6)
To achieve the same exponent, we can rewrite 9.4 × 10^(-6) as 0.0094 × 10^(-3) (since moving the decimal point one place to the right increases the exponent by one).
Now we can subtract:
4.8 × 10^(-3) - 0.0094 × 10^(-3) = (4.8 - 0.0094) × 10^(-3)
Simplifying this:
4.7906 × 10^(-3) = 4.79 × 10^(-3) (rounded to 2 decimal places)
So the answer is 4.79 × 10^(-3) in scientific notation, rounded to 2 decimal places.
To calculate the expression (4.8×10^−3) − (9.4×10^−6) and express the answer in scientific notation rounded to 2 decimal places, follow these steps:
Step 1: Perform the subtraction.
(4.8×10^−3) − (9.4×10^−6) = 4.8×10^−3 − 0.0094×10^−3
Step 2: Combine like terms.
= (4.8 − 0.0094) × 10^−3
Step 3: Evaluate the subtraction within the parentheses.
= 4.7906 × 10^−3
Step 4: Round the result to 2 decimal places.
= 4.79 × 10^−3
Therefore, the answer to the expression (4.8×10^−3) − (9.4×10^−6) expressed in scientific notation and rounded to 2 decimal places is 4.79 × 10^−3.