Find 0.078−(5.2×10−3) . Express your answer in scientific notation. Do not round your answer.(1 point)
0.078-(5.2×10^-3) = 0.078-0.0052 = 0.0728
In scientific notation, this is equal to 7.28×10^-2.
To subtract the numbers in scientific notation, we need to make sure that both numbers have the same exponent.
Given:
0.078 - (5.2 x 10^(-3))
First, let's rewrite 0.078 in scientific notation. Since 0.078 can be expressed as 7.8 x 10^(-2), we have:
7.8 x 10^(-2) - (5.2 x 10^(-3))
Now, since both numbers have the same exponent, we can subtract the numbers:
7.8 x 10^(-2) - 5.2 x 10^(-3) = (7.8 - 5.2) x 10^(-2) = 2.6 x 10^(-2)
Therefore, the final answer is 2.6 x 10^(-2)
To find the subtraction of two numbers in scientific notation, we need to make sure the exponents are the same.
Given: 0.078 - (5.2 × 10^(-3))
First, let's express 0.078 in scientific notation.
0.078 = 7.8 × 10^(-2)
Now, we can rewrite the expression as:
(7.8 × 10^(-2)) - (5.2 × 10^(-3))
To subtract them, we need to have the same exponent. In this case, the exponent is -2 and -3.
Since the bigger exponent is -2, we need to rewrite the second number with -2 as the exponent. To do this, we can multiply the second number by 10 to make the exponent -2.
(7.8 × 10^(-2)) - (5.2 × 10^(-3)) = (7.8 × 10^(-2)) - (0.052 × 10^(-2))
Now, we can subtract the numbers:
(7.8 - 0.052) × 10^(-2)
Simplifying the subtraction:
7.748 × 10^(-2)
So, the result of 0.078 - (5.2 × 10^(-3)) expressed in scientific notation is 7.748 × 10^(-2).