Find 0.078−(5.2×10−3) . Express your answer in scientific notation. Do not round your answer.(1 point)
×10−2
To subtract two numbers in scientific notation, the exponents must be the same.
0.078 can be written as 7.8 x 10^(-2).
5.2 x 10^(-3) can be written as 0.0052 x 10^(-2).
Now we can subtract the numbers:
7.8 x 10^(-2) - 0.0052 x 10^(-2) = 7.7948 x 10^(-2)
Therefore, the answer is 7.7948 x 10^(-2).
To perform the subtraction and express the answer in scientific notation, follow these steps:
1. Subtract the given numbers: 0.078 - (5.2 × 10^(-3)) = 0.078 - 0.0052 = 0.0728.
2. Express the answer, 0.0728, in scientific notation. Remember that the decimal must be moved to the right until there is only one digit to the left of the decimal point. Count the number of places you moved the decimal point, and that will be your exponent.
In this case, to express 0.0728 in scientific notation, we have to move the decimal point two places to the right. Thus, the answer in scientific notation is 7.28 × 10^(-2)
To find the expression 0.078 - (5.2 × 10^(-3)) in scientific notation, we can follow these steps:
Step 1: First, let's calculate the value of 5.2 × 10^(-3).
We can rewrite 5.2 × 10^(-3) as 0.0052 (since 10^(-3) is equivalent to moving the decimal point three places to the left).
Step 2: Now, subtract 0.0052 from 0.078.
0.078 - 0.0052 = 0.0728
Step 3: Finally, express the result in scientific notation.
To express 0.0728 in scientific notation, we must move the decimal point until we only have one non-zero digit to the left of the decimal point.
In this calculation, we moved the decimal point three places to the left, which corresponds to multiplying the number by 10^3.
Therefore, 0.0728 can be expressed as 7.28 × 10^(-2).
So, the expression 0.078 - (5.2 × 10^(-3)) in scientific notation is 7.28 × 10^(-2).