Power of ten
JamWise Education Team·Updated March 2026
Definition
A number expressed as 10 raised to an exponent, like 10 squared equals 100 or 10 to the negative 3 equals 0.001.
Learning context
In 8th grade math, students encounter "power of ten" as part of building numerical and spatial reasoning skills. At the middle school level, learners develop the ability to connect abstract mathematical concepts to concrete, everyday situations. Understanding this term helps students communicate their mathematical thinking with precision and builds a foundation for more advanced problem-solving in later grades.
Why music helps students learn vocabulary
Research consistently shows that pairing vocabulary instruction with music improves both recall and long-term retention. When students hear a term like "power of ten" embedded in a memorable melody, their brains form stronger associative connections between the word, its meaning, and the emotional context of the song.
JamWise leverages this science by generating curriculum-aligned songs for every K-8 topic. Rather than drilling definitions from a word list, students encounter terms naturally within lyrics, absorbing meaning through context and repetition. Teachers report that students who learn vocabulary through JamWise jams retain terms significantly longer than those using traditional flashcard methods.
Related vocabulary
Zero exponent
Any nonzero number raised to the power of 0 equals 1. For example, 5⁰ = 1 and 100⁰ = 1.
Power
An expression written as a base raised to an exponent, like 2⁵. The base is 2 and the exponent is 5, meaning 2 × 2 × 2 × 2 × 2.
Like terms
Terms that have the same variable raised to the same power. 3x and 7x are like terms; 3x and 3x² are not.
Laws of exponents
Rules for working with exponents: when multiplying same bases, add exponents (aᵐ × aⁿ = aᵐ⁺ⁿ); when dividing, subtract exponents; when raising a power to a power, multiply exponents.
Negative exponent
An exponent that means you take the reciprocal. For example, 2⁻³ = 1/2³ = 1/8. Moving from the numerator to the denominator changes the sign.
Exponent
The number written as a superscript that tells how many times the base is multiplied by itself. In 3⁴, the exponent 4 means 3 × 3 × 3 × 3.
Scientific notation
A way to write very large or very small numbers as a number between 1 and 10 multiplied by a power of 10. For example, 93,000,000 = 9.3 × 10⁷.
Irrational number
A number that cannot be written as a fraction of two integers. Its decimal form goes on forever without repeating. Pi and the square root of 2 are irrational.