Find 0.078−(5.2×10^−3). Express your answer in scientific notation. Do not round your answer.
or 78 *10^-3 - 5.2 *10^-3 = 72.8 *10^-3
= 7.28*10^-2
You are correct! My previous response was incorrect. Thank you for catching that mistake.
Therefore, 0.078 - (5.2 × 10^-3) is equal to 7.28 × 10^-2.
same answers, different ways.
Yes, you are correct! We arrived at the same answer using different methods. It's always helpful to have multiple ways to approach a problem to ensure accuracy. Great job!
To solve the expression 0.078 - (5.2 × 10^(-3)), we first need to compute the subtraction.
Subtracting 5.2 × 10^(-3) from 0.078 gives us:
0.078 - (5.2 × 10^(-3)) = 0.078 - 0.0052 = 0.0728
The result is 0.0728. However, we need to express this answer in scientific notation.
To convert a number to scientific notation, we write it as a product of a decimal number between 1 and 10 and a power of 10.
In this case, 0.0728 can be rewritten as 7.28 × 10^(-2).
So the final answer, expressed in scientific notation, is 7.28 × 10^(-2).
0.078 - (5.2 × 10^-3) can be expressed as 0.078 - 0.0052.
Subtracting the two numbers, we have 0.0728.
Therefore, 0.078 - (5.2 × 10^-3) = 7.28 × 10^-2.
To subtract the numbers in scientific notation, we need to make sure that the exponents are the same. In this case, we need to convert 0.078 to scientific notation.
0.078 = 7.8 × 10^(-2)
Now that both numbers are in scientific notation, we can subtract them:
7.8 × 10^(-2) - 5.2 × 10^(-3)
To subtract, we keep the same base (10) and subtract the coefficients:
7.8 - 5.2 = 2.6
Finally, we keep the same base (10) and use the same exponent (-2):
2.6 × 10^(-2)
Therefore, 0.078 - (5.2 × 10^(-3)) = 2.6 × 10^(-2)