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Answer :
To find out how many times greater [tex]\(5 \times 10^8\)[/tex] is than [tex]\(8 \times 10^5\)[/tex], we need to divide the first number by the second number.
Step-by-step solution:
1. Identify the numbers:
- The first number is [tex]\(5 \times 10^8\)[/tex].
- The second number is [tex]\(8 \times 10^5\)[/tex].
2. Divide the two numbers:
- The division will be [tex]\(\frac{5 \times 10^8}{8 \times 10^5}\)[/tex].
3. Perform the division:
- When dividing numbers in scientific notation, you divide the coefficients (5 and 8) and subtract the exponents of 10.
- So, you calculate [tex]\(\frac{5}{8}\)[/tex] and [tex]\(10^{8-5}\)[/tex].
4. Calculate the result:
- [tex]\(\frac{5}{8} = 0.625\)[/tex].
- [tex]\(10^{8-5} = 10^3\)[/tex].
- Therefore, the result is [tex]\(0.625 \times 10^3\)[/tex].
5. Convert to standard form:
- [tex]\(0.625 \times 10^3 = 625\)[/tex].
The number [tex]\(5 \times 10^8\)[/tex] is 625 times greater than [tex]\(8 \times 10^5\)[/tex].
Therefore, the correct answer is 625.
Step-by-step solution:
1. Identify the numbers:
- The first number is [tex]\(5 \times 10^8\)[/tex].
- The second number is [tex]\(8 \times 10^5\)[/tex].
2. Divide the two numbers:
- The division will be [tex]\(\frac{5 \times 10^8}{8 \times 10^5}\)[/tex].
3. Perform the division:
- When dividing numbers in scientific notation, you divide the coefficients (5 and 8) and subtract the exponents of 10.
- So, you calculate [tex]\(\frac{5}{8}\)[/tex] and [tex]\(10^{8-5}\)[/tex].
4. Calculate the result:
- [tex]\(\frac{5}{8} = 0.625\)[/tex].
- [tex]\(10^{8-5} = 10^3\)[/tex].
- Therefore, the result is [tex]\(0.625 \times 10^3\)[/tex].
5. Convert to standard form:
- [tex]\(0.625 \times 10^3 = 625\)[/tex].
The number [tex]\(5 \times 10^8\)[/tex] is 625 times greater than [tex]\(8 \times 10^5\)[/tex].
Therefore, the correct answer is 625.
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