Practice Decimal Place Value in Math

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

Quick Recap

The value assigned to each digit's position to the right of the decimal point: the first position is tenths (110), the second is hundredths (1100), the third is thousandths (11000), and so on.

Just as moving left of the decimal point makes each place 10 times bigger (ones, tens, hundreds), moving right makes each place 10 times smaller (tenths, hundredths, thousandths). It's like zooming in—each step splits things into 10 equal pieces.

Showing a random 20 of 50 problems.

Example 1

medium
Round 3.476 to the nearest tenth.

Example 2

easy
Compare: 0.3 ___ 0.30.

Example 3

medium
Round 4.768 to the nearest hundredth.

Example 4

medium
Order these decimals from least to greatest: 0.8, 0.08, 0.80, 0.008.

Example 5

easy
In 0.46, what is the place value of the 6?

Example 6

medium
Convert 17100 to a decimal.

Example 7

challenge
A digit d is in the tenths place and the same digit is in the thousandths place of a number; the two are worth 0.404 together. What is d, and what is the number (with 0 hundredths)?

Example 8

medium
Order from least to greatest: 0.5,0.45,0.504,0.54.

Example 9

hard
Write the decimal that has 3 tenths, 0 hundredths, 4 thousandths, and 6 ten-thousandths.

Example 10

hard
Express 0.275 as a fraction in simplest form.

Example 11

easy
What is the value of the digit 6 in the number 1.63?

Example 12

medium
What is 0.4+0.05?

Example 13

medium
In 7.083, what is the value of the 8, written as a decimal?

Example 14

medium
Round 0.0834 to the nearest hundredth.

Example 15

medium
How many hundredths are in 0.4?

Example 16

medium
What is 10 times 0.07? Explain via place value.

Example 17

medium
Which is greater: 0.108 or 0.11? Justify by place value.

Example 18

hard
How many times greater is the value of the 7 in 7.0 than the value of the 7 in 0.07?

Example 19

medium
Write 3 hundredths, 5 tenths, and 2 ones as a single decimal number.

Example 20

easy
Write 'two and four tenths' as a decimal.