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In scientific notation, what is the sum of [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 find the sum of [tex]$670,000,000$[/tex] and [tex]$700,000,000$[/tex] in scientific notation, follow these steps:

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

2. Convert to Scientific Notation:
In scientific notation, a number is expressed as a product of a number between 1 and 10, and a power of ten. For [tex]\(1,370,000,000\)[/tex], place the decimal after the first non-zero digit:
[tex]\[
1.37
\][/tex]
Now count how many places you moved the decimal point to the left to get from the original number to [tex]\(1.37\)[/tex]. You have moved 9 places:
[tex]\[
1.37 \times 10^9
\][/tex]

Thus, in scientific notation, the sum of [tex]\(670,000,000\)[/tex] and [tex]\(700,000,000\)[/tex] is [tex]\(1.37 \times 10^9\)[/tex].

The correct answer choice is [tex]\(\boxed{D) \ 1.37 \times 10^9}\)[/tex].

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