Sam uses a calculator to multiply 666, 666x7,777,777. The calculator's answer is displayed as follows: 5.1851795 E 12 So Sam writes: 666,666x7,777,777=5, 185, 179,500,000 Is Sam's answer correct or not? If not, why?
Sam uses a calculator to multiply 666, 666x7,777,777. The calculator's answer is displayed as follows: 5.1851795 E 12 So Sam writes: 666,666x7,777,777=5, 185, 179,500,000 Is Sam's answer correct or not? If not, why?
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![### Multiplication Calculation Verification
Sam uses a calculator to multiply \(666,666 \times 7,777,777\). The calculator's answer is displayed as follows:
\[ 5.1851795 \, E \, 12 \]
So Sam writes:
\[ 666,666 \times 7,777,777 = 5,185,179,500,000 \]
Is Sam's answer correct or not? If not, why?
### Explanation:
The scientific notation \( 5.1851795 \, E \, 12 \) means \( 5.1851795 \times 10^{12} \).
To convert this into a standard number format:
- Move the decimal point 12 places to the right.
- This yields \( 5,185,179,500,000 \).
Therefore, Sam's answer of \( 666,666 \times 7,777,777 = 5,185,179,500,000 \) is correct.
### Conclusion:
Yes, Sam's answer is correct since it matches the value given by the calculator.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8e4d9a92-7f6d-41e2-a11d-6abc746a28c0%2F6108905c-3745-4b7b-b57e-c5b26cb38683%2Fy1pgmek_processed.png&w=3840&q=75)
Transcribed Image Text:### Multiplication Calculation Verification
Sam uses a calculator to multiply \(666,666 \times 7,777,777\). The calculator's answer is displayed as follows:
\[ 5.1851795 \, E \, 12 \]
So Sam writes:
\[ 666,666 \times 7,777,777 = 5,185,179,500,000 \]
Is Sam's answer correct or not? If not, why?
### Explanation:
The scientific notation \( 5.1851795 \, E \, 12 \) means \( 5.1851795 \times 10^{12} \).
To convert this into a standard number format:
- Move the decimal point 12 places to the right.
- This yields \( 5,185,179,500,000 \).
Therefore, Sam's answer of \( 666,666 \times 7,777,777 = 5,185,179,500,000 \) is correct.
### Conclusion:
Yes, Sam's answer is correct since it matches the value given by the calculator.
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