Question
Subtract. Write your answer in scientific notation.
(1.48×109)–(9.37×108)
(1.48×109)–(9.37×108)
Answers
GPT-4o mini
To subtract \( (1.48 \times 10^9) - (9.37 \times 10^8) \), we first need to express both numbers with the same exponent.
We can rewrite \( 9.37 \times 10^8 \) as \( 0.937 \times 10^9 \) (by dividing the coefficient by 10 and increasing the exponent by 1).
Now we can perform the subtraction:
\[
1.48 \times 10^9 - 0.937 \times 10^9 = (1.48 - 0.937) \times 10^9
\]
Calculating the coefficients:
\[
1.48 - 0.937 = 0.543
\]
Thus, we have:
\[
0.543 \times 10^9
\]
Now to express this in proper scientific notation, we adjust it to have a coefficient between 1 and 10 by moving the decimal point one place to the right:
\[
0.543 \times 10^9 = 5.43 \times 10^8
\]
Therefore, the answer is:
\[
\boxed{5.43 \times 10^8}
\]
We can rewrite \( 9.37 \times 10^8 \) as \( 0.937 \times 10^9 \) (by dividing the coefficient by 10 and increasing the exponent by 1).
Now we can perform the subtraction:
\[
1.48 \times 10^9 - 0.937 \times 10^9 = (1.48 - 0.937) \times 10^9
\]
Calculating the coefficients:
\[
1.48 - 0.937 = 0.543
\]
Thus, we have:
\[
0.543 \times 10^9
\]
Now to express this in proper scientific notation, we adjust it to have a coefficient between 1 and 10 by moving the decimal point one place to the right:
\[
0.543 \times 10^9 = 5.43 \times 10^8
\]
Therefore, the answer is:
\[
\boxed{5.43 \times 10^8}
\]