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In scientific notation, what is [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 question of finding the sum of [tex]$670,000,000$[/tex] and [tex]$700,000,000$[/tex] in scientific notation, let's break it down step-by-step:

1. Add the Numbers:

First, add the two numbers together:
[tex]\[
670,000,000 + 700,000,000 = 1,370,000,000
\][/tex]

2. Convert to Scientific Notation:

To express the sum, [tex]$1,370,000,000$[/tex], in scientific notation, we need to write it in the form:
[tex]\[
a \times 10^n
\][/tex]
where [tex]\(1 \leq a < 10\)[/tex] and [tex]\(n\)[/tex] is an integer.

For [tex]$1,370,000,000$[/tex], we have:
[tex]\[
1.37 \times 10^9
\][/tex]

This means we move the decimal point 9 places to the left to change [tex]$1,370,000,000$[/tex] into [tex]$1.37$[/tex].

3. Choose the Correct Option:

Among the given choices:
- [tex]$1.37 \times 10^{-9}$[/tex]
- [tex]$1.37 \times 10^7$[/tex]
- [tex]$1.37 \times 10^8$[/tex]
- [tex]$1.37 \times 10^9$[/tex]

The correct answer is [tex]\(1.37 \times 10^9\)[/tex].

So, the sum of [tex]$670,000,000 + 700,000,000$[/tex] in scientific notation is [tex]\(1.37 \times 10^9\)[/tex]. Option D is the correct answer.

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