Display Title
Definition--Place Value Concepts--Power of Ten
Display Title
Power of Ten
Topic
Place Value
Definition
A power of ten is a value represented as 10 raised to an exponent, indicating how many times 10 is multiplied by itself.
Description
A power of ten is a mathematical expression that represents a number as 10 raised to an exponent. This concept is fundamental in the base ten number system, as it defines the place value of digits in a number. For example, 103 represents 1000, indicating that the digit in the thousands place has a value of 1000.
In real-world applications, powers of ten are used in scientific notation to express large or small numbers efficiently. For instance, the distance from the Earth to the Sun is approximately 1.496 × 108 kilometers.
In algebra, powers of ten are crucial for simplifying expressions and solving equations. They help in understanding the exponential growth or decay of values.
Teaching powers of ten is relevant to math education because it enhances students' understanding of place value and exponential functions. It also prepares them for advanced mathematical concepts involving exponents and scientific notation.
Teacher's Script: "Let's explore powers of ten. The expression 104 means 10 multiplied by itself 4 times, resulting in 10,000."
For a complete collection of terms related to Place Value click on this link: Place Value Collection
| Common Core Standards | CCSS.MATH.CONTENT.1.NBT.B.2, CCSS.MATH.CONTENT.1.NBT.C.4, CCSS.MATH.CONTENT.2.NBT.A.1, CCSS.MATH.CONTENT.3.NBT.A.1, CCSS.MATH.CONTENT.4.NBT.A.1, CCSS.MATH.CONTENT.5.NBT.A.4 |
|---|---|
| Grade Range | 1 - 4 |
| Curriculum Nodes |
Arithmetic • Numbers and Patterns • Place Value |
| Copyright Year | 2021 |
| Keywords | place value |
