Find 0.078 - (5.2 * 10 ^ -3)express your answer in scientific notation do not round your answer
Fill in the blank
_______x 10 ^ -2
To find the value of 0.078 - (5.2 * 10 ^ -3), we can subtract the two numbers:
0.078 - (5.2 * 10 ^ -3) = 0.078 - 0.0052
Now, subtract the decimal numbers:
0.078 - 0.0052 = 0.0728
To express the answer in scientific notation, we move the decimal point two places to the right since the answer is smaller than 1. So, the answer is:
7.28 x 10 ^ -2
To solve the expression 0.078 - (5.2 * 10 ^ -3) and express the answer in scientific notation, follow these steps:
Step 1: Remove the parentheses by distributing the negative sign to all terms inside.
0.078 - 5.2 * 10 ^ -3
Step 2: Convert both numbers to scientific notation.
0.078 can be written as 7.8 * 10 ^ -2 (Shifting the decimal point two places to the right)
5.2 * 10 ^ -3 is already in scientific notation.
Step 3: Subtract the terms.
7.8 * 10 ^ -2 - 5.2 * 10 ^ -3
Step 4: Adjust the exponents to have the same power of ten. In this case, we need to convert 10 ^ -3 to 10 ^ -2.
Since 10 ^ -3 is equal to 1/10 times 10 ^ -2 (10 ^ -3 = 1/10 * 10 ^ -2), we can multiply 5.2 by 1/10, which gives 0.52.
7.8 * 10 ^ -2 - 0.52 * 10 ^ -2
Step 5: Subtract the numerical coefficients.
7.8 - 0.52 = 7.28
Step 6: Express the answer in scientific notation.
7.28 can be written as 7.28 * 10 ^ 0 (Shifting the decimal point back to its original position)
Therefore, the final answer is 7.28 * 10 ^ 0.
In the fill in the blank format, the answer is: 7.28 x 10 ^ 0.
0.078 - (5.2 * 10 ^ -3) = 0.07795
expressed in scientific notation: 7.795 x 10 ^ -2