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Answer :
To solve the problem of finding the quotient of two numbers in scientific notation, follow these steps:
1. Start with the given numbers:
- The first number is [tex]\(7.01 \times 10^1\)[/tex].
- The second number is [tex]\(5.12 \times 10^5\)[/tex].
2. Divide the mantissas (the numbers in front):
- Calculate [tex]\(\frac{7.01}{5.12}\)[/tex].
- The result is approximately [tex]\(1.37\)[/tex].
3. Subtract the exponents:
- Subtract the exponent of the second number from the exponent of the first number:
- [tex]\(1 - 5 = -4\)[/tex].
4. Combine the results in scientific notation:
- The quotient is [tex]\(1.37 \times 10^{-4}\)[/tex].
Therefore, the quotient of [tex]\(7.01 \times 10^1\)[/tex] divided by [tex]\(5.12 \times 10^5\)[/tex], rounded to the nearest hundredth for the mantissa, is [tex]\(1.37 \times 10^{-4}\)[/tex].
1. Start with the given numbers:
- The first number is [tex]\(7.01 \times 10^1\)[/tex].
- The second number is [tex]\(5.12 \times 10^5\)[/tex].
2. Divide the mantissas (the numbers in front):
- Calculate [tex]\(\frac{7.01}{5.12}\)[/tex].
- The result is approximately [tex]\(1.37\)[/tex].
3. Subtract the exponents:
- Subtract the exponent of the second number from the exponent of the first number:
- [tex]\(1 - 5 = -4\)[/tex].
4. Combine the results in scientific notation:
- The quotient is [tex]\(1.37 \times 10^{-4}\)[/tex].
Therefore, the quotient of [tex]\(7.01 \times 10^1\)[/tex] divided by [tex]\(5.12 \times 10^5\)[/tex], rounded to the nearest hundredth for the mantissa, is [tex]\(1.37 \times 10^{-4}\)[/tex].
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