Answer :
To solve the problem of expressing the sum of [tex]\(670,000,000\)[/tex] and [tex]\(700,000,000\)[/tex] in scientific notation, let's go through the steps:
1. Addition: First, we add the two numbers together:
[tex]\[
670,000,000 + 700,000,000 = 1,370,000,000
\][/tex]
2. Writing in Scientific Notation: Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It typically has the form:
[tex]\[
a \times 10^n
\][/tex]
where [tex]\(1 \leq a < 10\)[/tex] and [tex]\(n\)[/tex] is an integer.
3. Convert to Scientific Notation:
- To convert [tex]\(1,370,000,000\)[/tex] to scientific notation, we need to express it as a number between 1 and 10 multiplied by a power of 10.
- Count the number of places from the right to the left until you have one digit before the decimal:
[tex]\[
1,370,000,000 \rightarrow 1.37
\][/tex]
- Since we moved 9 places from the right, the power of 10 is [tex]\(9\)[/tex].
4. Final Expression: So, [tex]\(1,370,000,000\)[/tex] in scientific notation is:
[tex]\[
1.37 \times 10^9
\][/tex]
Therefore, the correct answer is [tex]\(\boxed{1.37 \times 10^9}\)[/tex].
1. Addition: First, we add the two numbers together:
[tex]\[
670,000,000 + 700,000,000 = 1,370,000,000
\][/tex]
2. Writing in Scientific Notation: Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It typically has the form:
[tex]\[
a \times 10^n
\][/tex]
where [tex]\(1 \leq a < 10\)[/tex] and [tex]\(n\)[/tex] is an integer.
3. Convert to Scientific Notation:
- To convert [tex]\(1,370,000,000\)[/tex] to scientific notation, we need to express it as a number between 1 and 10 multiplied by a power of 10.
- Count the number of places from the right to the left until you have one digit before the decimal:
[tex]\[
1,370,000,000 \rightarrow 1.37
\][/tex]
- Since we moved 9 places from the right, the power of 10 is [tex]\(9\)[/tex].
4. Final Expression: So, [tex]\(1,370,000,000\)[/tex] in scientific notation is:
[tex]\[
1.37 \times 10^9
\][/tex]
Therefore, the correct answer is [tex]\(\boxed{1.37 \times 10^9}\)[/tex].