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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]

Answer :

To solve the problem of adding [tex]\(670,000,000 + 700,000,000\)[/tex] and expressing the result in scientific notation, let's go through the process step by step.

1. Add the Numbers:
Start 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 in the form [tex]\(a \times 10^n\)[/tex], where [tex]\(1 \leq |a| < 10\)[/tex].

The number [tex]\(1,370,000,000\)[/tex] can be written as:
[tex]\[
1.37 \times 10^9
\][/tex]
Here, [tex]\(1.37\)[/tex] is the decimal part, and [tex]\(10^9\)[/tex] indicates that you move the decimal point 9 places to the right to get back to the original number.

Therefore, the result of the addition in scientific notation is:
[tex]\[
1.37 \times 10^9
\][/tex]

The correct choice from the given options is:
D) [tex]\(1.37 \times 10^9\)[/tex].

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