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.
Showing a random 20 of 50 problems.
Example 1
hardCompare to . Are they equal?
Example 2
easyIn , what is the digit in the hundreds place?
Example 3
mediumExpress 705 in expanded form using powers of ten.
Example 4
mediumDecompose as a sum involving place-value parts.
Example 5
easyWrite 4 hundreds, 0 tens, 7 ones as a number.
Example 6
mediumWhat place does name?
Example 7
mediumWrite the number that has ten-thousands, thousands, hundreds, tens, and ones.
Example 8
mediumIn 3,482, what is the value of the digit 4?
Example 9
mediumHow many times larger is the digit 5's value in 500 than in 50?
Example 10
easyWhat is ?
Example 11
easyWhat is the value of the digit 3 in the number 35?
Example 12
mediumWhy does multiplying any whole number by 10 append a zero? Explain using the base-ten structure.
Example 13
challengeA 3-digit number has digits that are consecutive increasing integers and sums to 12. What is the number?
Example 14
mediumWrite in expanded form using powers of .
Example 15
easyWhat is the value of the digit in ?
Example 16
hardWhat number is more than ?
Example 17
easyExpress as a sum of powers of 10.
Example 18
easyWhich is bigger, or ?
Example 19
mediumIn , what is the difference between the values of the and the ?
Example 20
easyWrite the expanded form of using place-value labels.