Number Properties Puzzle – Challenge 7
A math puzzle for smart people with a brain for math! This challenge is for those who love to be challenged by mathematics and critical thinking problems. Let's challenge your brain!
Challenge:
If \(a = (5^{11})^{2}\) and \(b = 4^{11}\), how many digits long is ab?
A- 22
B- 23
C- 33
D- 44
E- 121
The Absolute Best Book to Challenge Your Smart Student!
Original price was: $16.99.$11.99Current price is: $11.99.
Satisfied 123 Students
The correct answer is B.
\(a = (511)^{2} = 5^{22}\) and \(b = 4^{11}\)
Change the base of number b from 4 to 2: \(b = 2^{22 }\)
Therefore, \(ab = 5^{22} × 2^{22 }= 10^{22}\)
Number \(10^{1}\) has 2 digits and number \(10^{2} (100)\) has 3 digits. Therefore, \(10^{22}\) has 23 digits.
The Absolute Best Books to Ace Algebra
Original price was: $29.99.$19.99Current price is: $19.99.
Original price was: $29.99.$14.99Current price is: $14.99.
Original price was: $29.99.$14.99Current price is: $14.99.
Satisfied 1 Students
Original price was: $24.99.$14.99Current price is: $14.99.
Satisfied 92 Students
Original price was: $24.99.$15.99Current price is: $15.99.
Satisfied 125 Students
Related to This Article
More math articles
- The Ultimate 7th Grade IAR Math Course (+FREE Worksheets)
- How to Categorize Rational Numbers
- How to Scale a Function Horizontally?
- 3rd Grade NYSE Math Worksheets: FREE & Printable
- How to Find Inverse of a Function? (+FREE Worksheet!)
- Full-Length 6th Grade GMAS Math Practice Test-Answers and Explanations
- GED Math – Test Day Tips
- How to Use Area Models to Factor Variable Expressions?
- DAT Quantitative Reasoning Math FREE Sample Practice Questions
- The Art of Partitioning a Line Segment!
What people say about "Number Properties Puzzle – Challenge 7 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.