Algebra Puzzle – Critical Thinking 15
Critical thinking challenges like this one can be as much a part of a math class as learning concepts, computations, and formulas.
Challenge:
What is the smallest positive integer p such that 1080p is a perfect cube number?
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 25.
First, find the factor of 1080p. The prime factors of 1080p are:
\(2^3×3^3×5×p\)
In order for \(2^3×3^3×5×p\) to be a perfect cube, each prime factor must come in sets of triples. Since, we have \(2^3×3^3×5\), thus, we only need to change 5 to \(5^3\). Therefore, p equals to \(5^2\) or 25.
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 StudentsOriginal price was: $24.99.$14.99Current price is: $14.99.Satisfied 92 StudentsOriginal price was: $24.99.$15.99Current price is: $15.99.Satisfied 125 Students
Related to This Article
More math articles
- How to Categorize Rational Numbers
- Top 10 Free Websites for PERT Math Preparation
- Top 10 AFOQT Math Prep Books (Our 2023 Favorite Picks)
- 5th Grade WVGSA Math Worksheets: FREE & Printable
- FREE 8th Grade FSA Math Practice Test
- 4th Grade NJSLA Math Worksheets: FREE & Printable
- Standard Form of a Circle
- Measurements – Time
- FREE 4th Grade OST Math Practice Test
- Top 10 3rd Grade MEAP Math Practice Questions
What people say about "Algebra Puzzle – Critical Thinking 15 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.