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In scientific notation, [tex]$670,000,000 + 700,000,000 =$[/tex]?

A. [tex]$1.37 \times 10^{-9}$[/tex]
B. [tex]$1.37 \times 10^7$[/tex]
C. [tex]$1.37 \times 10^8$[/tex]
D. [tex]$1.37 \times 10^9$[/tex]
E. [tex]$137 \times 10^{15}$[/tex]

Answer :

To solve the problem of finding the sum of [tex]\(670,000,000 + 700,000,000\)[/tex] and expressing the result in scientific notation, we can follow these steps:

1. Add the Numbers:

Begin by adding the two numbers:
[tex]\[
670,000,000 + 700,000,000 = 1,370,000,000
\][/tex]

2. Convert to Scientific Notation:

Scientific notation expresses numbers as a product of a number (between 1 and 10) and a power of 10.

To express [tex]\(1,370,000,000\)[/tex] in scientific notation:
- Identify the leading digits: 1.37 (moving the decimal 9 places to the left).
- Count how many places you have moved the decimal to reach 1.37. Here, we move it 9 places.
- Write the result as [tex]\(1.37 \times 10^9\)[/tex].

Based on these steps, the solution to [tex]\(670,000,000 + 700,000,000\)[/tex] in scientific notation is [tex]\(1.37 \times 10^9\)[/tex].

Therefore, the correct answer is:
- D. [tex]\(1.37 \times 10^9\)[/tex]

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