Find 0.078 − (5.2 × 10^−3). Express your answer in scientific notation. Do not round your answer.
To subtract decimals in scientific notation, we need to have the same power of 10. We can rewrite 0.078 as $7.8 \times 10^{-2}$. $$0.078 − (5.2 × 10^{-3}) = 7.8 \times 10^{-2} - 5.2 \times 10^{-3} = (7.8 - 5.2) \times 10^{-2} = 2.6 \times 10^{-2}$$ Therefore, the answer is $\boxed{2.6 \times 10^{-2}}$.
Find 0.078 − (5.2 × 10^−3). Express your answer in scientific notation. Do not round your answer.
To subtract decimals in scientific notation, we need to have the same power of 10. We can rewrite 0.078 as $7.8 \times 10^{-2}$. $$0.078 − (5.2 × 10^{-3}) = 7.8 \times 10^{-2} - 5.2 \times 10^{-3} = (7.8 - 0.52) \times 10^{-2} = 7.28 \times 10^{-2}$$ Therefore, the answer is $\boxed{7.28 \times 10^{-2}}$.
To subtract these two numbers, 0.078 and (5.2 × 10^−3), we follow these steps:
Step 1: Convert 0.078 to scientific notation.
0.078 in scientific notation is 7.8 × 10^−2.
Step 2: Perform the subtraction.
7.8 × 10^−2 - (5.2 × 10^−3) = 7.8 × 10^−2 - (0.052 × 10^−2) = (7.8 - 0.052) × 10^−2 = 7.748 × 10^−2.
So, the answer is 7.748 × 10^−2.
To find 0.078 − (5.2 × 10^−3), we can start by expressing both numbers in scientific notation to make the subtraction easier.
0.078 can be written as 7.8 × 10^−2, since we move the decimal point two places to the right to have a number between 1 and 10, and then multiply by 10 raised to the corresponding negative exponent.
Now, let's subtract (5.2 × 10^−3):
7.8 × 10^−2 - 5.2 × 10^−3 = (7.8 - 5.2) × 10^(-2 - (-3)) = 2.6 × 10^(-2 + 3) = 2.6 × 10^1
Therefore, the answer is 2.6 × 10^1 in scientific notation.