Practice Base-Ten System in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

A number system using ten symbols (0-9) where each place represents a power of ten.

We group things by tensβ€”probably because we have 10 fingers.

Example 1

easy
Express 5{,}304 as a sum of powers of 10.

Example 2

medium
Why does multiplying any whole number by 10 append a zero? Explain using the base-ten structure.

Example 3

easy
What is the value of 10^0, 10^1, 10^2, and 10^3?

Example 4

medium
A number N = 3 \times 10^4 + 7 \times 10^2 + 5 \times 10^0. What is N?