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!
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
Related to This Article
More math articles
- The Best HSPT Math Worksheets: FREE & Printable
- Battle of the Decimals: Using Grids for Easy Comparisons
- 6 Best Pre-Algebra Study Guides
- Ratio Tables
- How to Prepare for the SSAT Upper-Level Math Test?
- How to Use Area Models to Multiply One-Digit Numbers By Two-digit Numbers
- Top 10 Math Books for Grade 6 Students: Inspiring Masterminds
- Tangible Learning: How to Represent Addition of Fractions with Unlike Denominators Using Everyday Objects
- FREE ACT Math Practice Test
- 7th Grade STAAR Math Practice Test Questions
What people say about "Number Properties Puzzle – Challenge 7 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.