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Answer :
To solve the problem and find the sum of [tex]\(26.5 \times 10^4 + 9.4 \times 10^4\)[/tex], follow these steps:
1. Understand Scientific Notation:
- Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. A number in scientific notation is written as [tex]\(a \times 10^n\)[/tex], where [tex]\(1 \leq a < 10\)[/tex] and [tex]\(n\)[/tex] is an integer.
2. Align the Scientific Notation:
- Since both terms [tex]\(26.5 \times 10^4\)[/tex] and [tex]\(9.4 \times 10^4\)[/tex] already share the same power of ten ([tex]\(10^4\)[/tex]), we can directly add the coefficients (the numbers in front).
3. Add the Coefficients:
- Add 26.5 and 9.4:
[tex]\[
26.5 + 9.4 = 35.9
\][/tex]
4. Write the Sum in Scientific Notation:
- Combine the sum of the coefficients with the common power of ten. This gives you:
[tex]\[
35.9 \times 10^4
\][/tex]
Since our answer [tex]\(35.9 \times 10^4\)[/tex] matches one of the choices, option (c) [tex]\(17.1 \times 10^4\)[/tex] cannot be correct; instead, it seems like a placeholder. The correct answer here is clearly [tex]\(35.9 \times 10^4\)[/tex].
Keep in mind that if you are asked to adjust the format of scientific notation to match a particular formatting convention (like making [tex]\(a\)[/tex] a number between 1 and 10), then you might rewrite [tex]\(35.9 \times 10^4\)[/tex] as [tex]\(3.59 \times 10^5\)[/tex] by adjusting the exponent and factor accordingly. But based on the given options, the direct and correct answer is:
a) [tex]\(3.59 \times 10^5\)[/tex]
This is the properly formatted scientific notation closest to the problem parameters and choices.
1. Understand Scientific Notation:
- Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. A number in scientific notation is written as [tex]\(a \times 10^n\)[/tex], where [tex]\(1 \leq a < 10\)[/tex] and [tex]\(n\)[/tex] is an integer.
2. Align the Scientific Notation:
- Since both terms [tex]\(26.5 \times 10^4\)[/tex] and [tex]\(9.4 \times 10^4\)[/tex] already share the same power of ten ([tex]\(10^4\)[/tex]), we can directly add the coefficients (the numbers in front).
3. Add the Coefficients:
- Add 26.5 and 9.4:
[tex]\[
26.5 + 9.4 = 35.9
\][/tex]
4. Write the Sum in Scientific Notation:
- Combine the sum of the coefficients with the common power of ten. This gives you:
[tex]\[
35.9 \times 10^4
\][/tex]
Since our answer [tex]\(35.9 \times 10^4\)[/tex] matches one of the choices, option (c) [tex]\(17.1 \times 10^4\)[/tex] cannot be correct; instead, it seems like a placeholder. The correct answer here is clearly [tex]\(35.9 \times 10^4\)[/tex].
Keep in mind that if you are asked to adjust the format of scientific notation to match a particular formatting convention (like making [tex]\(a\)[/tex] a number between 1 and 10), then you might rewrite [tex]\(35.9 \times 10^4\)[/tex] as [tex]\(3.59 \times 10^5\)[/tex] by adjusting the exponent and factor accordingly. But based on the given options, the direct and correct answer is:
a) [tex]\(3.59 \times 10^5\)[/tex]
This is the properly formatted scientific notation closest to the problem parameters and choices.
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