Decimal Place Value Practice Worksheet

Understanding Decimal Place Value

Decimal numbers are used to represent fractions or parts of a whole. The decimal place value system is a way of organizing these numbers in a logical and consistent manner. In this practice worksheet, we will explore the basics of decimal place value and provide exercises to help reinforce understanding.

What is Decimal Place Value?

Decimal place value refers to the value of each digit in a decimal number. Each digit in a decimal number has a place value that depends on its position relative to the decimal point. The decimal point is the point that separates the whole part of the number from the fractional part.

Place Value Chart

Here is a place value chart to help illustrate the concept:

Reading Decimal Numbers

To read a decimal number, start by reading the whole number part, then say “and” followed by the fractional part. For example, the decimal number 4.25 would be read as “four and twenty-five hundredths”.

Writing Decimal Numbers

To write a decimal number, write the whole number part followed by the decimal point and then the fractional part. For example, the decimal number “four and twenty-five hundredths” would be written as 4.25.

Exercises

Complete the following exercises to practice working with decimal place value:

1. Write the decimal number 3.45 in words.
2. Read the decimal number 0.75 as a fraction.
3. Write the decimal number 2.18 in expanded form.
4. Compare the decimal numbers 4.27 and 4.28.
5. Round the decimal number 3.49 to the nearest tenth.

Answers:

1. Three and forty-five hundredths
2. Three-fourths
3. 2 + 0.1 + 0.08
4. 4.27 is less than 4.28
5. 3.5

Notes

📝 Note: When comparing decimal numbers, it's essential to line up the decimal points and compare each digit from left to right.

📝 Note: When rounding decimal numbers, identify the digit in the place value you are rounding to and look at the digit to the right. If it's 5 or greater, round up; otherwise, round down.

By practicing with these exercises and understanding the concept of decimal place value, you will become more confident and proficient in your ability to work with decimal numbers.