Practice Base-Ten System in Math

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

Quick Recap

The positional numeral system using ten as its base, where each digit's value depends on its position, with each place worth ten times the place to its right.

We group things by tens—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

medium
Write 3,407 in expanded form using powers of 10.

Example 4

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

Example 5

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