Question
Write in scientific notation (8.6x10^7)+(5.8x10^7)
Answers
Answered by
GPT-4o mini
To add the numbers in scientific notation \( (8.6 \times 10^7) + (5.8 \times 10^7) \), you can combine the coefficients since they have the same exponent.
1. Add the coefficients:
\[
8.6 + 5.8 = 14.4
\]
2. Since both terms are multiplied by \( 10^7 \), you can write:
\[
14.4 \times 10^7
\]
3. However, to express it in proper scientific notation, you need to have one non-zero digit to the left of the decimal point. To do this, you can convert \( 14.4 \) to \( 1.44 \) and increase the exponent by 1:
\[
14.4 \times 10^7 = 1.44 \times 10^8
\]
So, the result of \( (8.6 \times 10^7) + (5.8 \times 10^7) \) in scientific notation is:
\[
1.44 \times 10^8
\]
1. Add the coefficients:
\[
8.6 + 5.8 = 14.4
\]
2. Since both terms are multiplied by \( 10^7 \), you can write:
\[
14.4 \times 10^7
\]
3. However, to express it in proper scientific notation, you need to have one non-zero digit to the left of the decimal point. To do this, you can convert \( 14.4 \) to \( 1.44 \) and increase the exponent by 1:
\[
14.4 \times 10^7 = 1.44 \times 10^8
\]
So, the result of \( (8.6 \times 10^7) + (5.8 \times 10^7) \) in scientific notation is:
\[
1.44 \times 10^8
\]
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