Thank you for visiting Approximately how many times greater is tex 5 times 10 8 tex than tex 8 times 10 5 tex A 62 5 B 625 C. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To determine how many times greater [tex]\(5 \times 10^8\)[/tex] is than [tex]\(8 \times 10^5\)[/tex], we divide the larger number by the smaller number.
1. Understand the numbers involved:
- [tex]\(5 \times 10^8\)[/tex] means 5 followed by 8 zeros or 500,000,000.
- [tex]\(8 \times 10^5\)[/tex] means 8 followed by 5 zeros or 800,000.
2. Divide the larger number by the smaller number:
[tex]\[
\frac{5 \times 10^8}{8 \times 10^5}
\][/tex]
3. Simplify the expression:
- When dividing numbers in scientific notation, divide their coefficients (the numbers in front) and subtract the exponents of 10.
[tex]\[
\frac{5}{8} \times 10^{8-5} = \frac{5}{8} \times 10^3
\][/tex]
4. Calculate [tex]\(\frac{5}{8}\)[/tex] and [tex]\(10^3\)[/tex]:
- [tex]\(\frac{5}{8} = 0.625\)[/tex]
- [tex]\(10^3 = 1000\)[/tex]
5. Multiply 0.625 by 1000:
[tex]\[
0.625 \times 1000 = 625
\][/tex]
So, [tex]\(5 \times 10^8\)[/tex] is approximately 625 times greater than [tex]\(8 \times 10^5\)[/tex]. Therefore, the answer is 625.
1. Understand the numbers involved:
- [tex]\(5 \times 10^8\)[/tex] means 5 followed by 8 zeros or 500,000,000.
- [tex]\(8 \times 10^5\)[/tex] means 8 followed by 5 zeros or 800,000.
2. Divide the larger number by the smaller number:
[tex]\[
\frac{5 \times 10^8}{8 \times 10^5}
\][/tex]
3. Simplify the expression:
- When dividing numbers in scientific notation, divide their coefficients (the numbers in front) and subtract the exponents of 10.
[tex]\[
\frac{5}{8} \times 10^{8-5} = \frac{5}{8} \times 10^3
\][/tex]
4. Calculate [tex]\(\frac{5}{8}\)[/tex] and [tex]\(10^3\)[/tex]:
- [tex]\(\frac{5}{8} = 0.625\)[/tex]
- [tex]\(10^3 = 1000\)[/tex]
5. Multiply 0.625 by 1000:
[tex]\[
0.625 \times 1000 = 625
\][/tex]
So, [tex]\(5 \times 10^8\)[/tex] is approximately 625 times greater than [tex]\(8 \times 10^5\)[/tex]. Therefore, the answer is 625.
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