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Answer :
To solve the problem of adding [tex]\(670,000,000\)[/tex] and [tex]\(700,000,000\)[/tex] and expressing the sum in scientific notation, let's follow these steps:
1. Add the Two Numbers:
- Start by adding the two given numbers:
[tex]\[
670,000,000 + 700,000,000 = 1,370,000,000
\][/tex]
2. Convert to Scientific Notation:
- Scientific notation is a way to write numbers as a product of a number between 1 and 10 and a power of 10.
- For the sum [tex]\(1,370,000,000\)[/tex], identify the significant figures and the appropriate power of 10:
- Write [tex]\(1,370,000,000\)[/tex] as [tex]\(1.37\)[/tex] (the significant figures) and count how many places you need to move the decimal point to the left to place it after the 1:
[tex]\[
1,370,000,000 = 1.37 \times 10^9
\][/tex]
- Here, the decimal point moves 9 places to the left, which results in the exponent of 9.
3. Conclusion:
- The sum [tex]\(670,000,000 + 700,000,000\)[/tex] expressed in scientific notation is [tex]\(1.37 \times 10^9\)[/tex].
Therefore, the correct answer is [tex]\(1.37 \times 10^9\)[/tex].
1. Add the Two Numbers:
- Start by adding the two given numbers:
[tex]\[
670,000,000 + 700,000,000 = 1,370,000,000
\][/tex]
2. Convert to Scientific Notation:
- Scientific notation is a way to write numbers as a product of a number between 1 and 10 and a power of 10.
- For the sum [tex]\(1,370,000,000\)[/tex], identify the significant figures and the appropriate power of 10:
- Write [tex]\(1,370,000,000\)[/tex] as [tex]\(1.37\)[/tex] (the significant figures) and count how many places you need to move the decimal point to the left to place it after the 1:
[tex]\[
1,370,000,000 = 1.37 \times 10^9
\][/tex]
- Here, the decimal point moves 9 places to the left, which results in the exponent of 9.
3. Conclusion:
- The sum [tex]\(670,000,000 + 700,000,000\)[/tex] expressed in scientific notation is [tex]\(1.37 \times 10^9\)[/tex].
Therefore, the correct answer is [tex]\(1.37 \times 10^9\)[/tex].
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