High School

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

A) [tex]$1.37 \times 10^8$[/tex]
B) [tex]$1.37 \times 10^9$[/tex]
C) [tex]$137 \times 10^{15}$[/tex]

Answer :

To solve the problem of adding 670,000,000 and 700,000,000 and expressing the result in scientific notation, follow these steps:

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 as a product of a number between 1 and 10 and a power of 10.
- To express 1,370,000,000 in scientific notation, determine how many places you move the decimal point to get a number between 1 and 10. For 1,370,000,000, you move the decimal 9 places to the left.
- This gives you 1.37, and since you moved the decimal point 9 places, it becomes [tex]\(1.37 \times 10^9\)[/tex].

Given these steps, the correct answer is [tex]\(1.37 \times 10^9\)[/tex], which corresponds to option B.