Decimals Worksheets
Free decimals worksheets with answer keys. Practice place value, comparing, adding, subtracting, and rounding decimals — printable PDFs for grades 4-6.
Decimals are everywhere — money, measurements, sports stats, science data — so students need to be as comfortable with 3.75 as they are with the number 4. These worksheets help students build a solid understanding of what decimals mean, how they relate to fractions, and how to perform operations with them. The key to decimals is place value: once students truly understand that the 7 in 3.75 means 7 tenths and the 5 means 5 hundredths, everything else falls into place.
What Students Will Practice
- Reading and writing decimals through the thousandths place, understanding the value of each digit (e.g., in 4.236, the 2 is tenths, the 3 is hundredths, the 6 is thousandths)
- Converting between fractions and decimals (e.g., 3/4 = 0.75, 0.6 = 6/10 = 3/5)
- Comparing and ordering decimals using place value (e.g., 0.35 vs. 0.305 — the first is larger because 5 hundredths > 0 hundredths in the second decimal place)
- Adding and subtracting decimals with proper column alignment (lining up the decimal points, not the last digits)
- Rounding decimals to the nearest tenth, hundredth, or whole number
- Solving word problems involving money amounts, metric measurements, and other decimal contexts
Decimal concepts are central to grades 4-6 math standards and are prerequisite skills for percentages, scientific notation, and algebra.
Decimals Worksheet
Free printable decimals worksheets with answer keys. Great for practice at home or in class. Perfect for reinforcing decimal skills with engaging problems.
Decimals Worksheet
Free printable decimals worksheets with answer keys. Perfect for homework, extra practice, or at-home math work to help kids understand decimals.
Decimals Worksheet
Free printable decimals worksheets with answer keys. Perfect for extra math practice at home or as part of your homeschool curriculum.
How to Use These Worksheets
Decimals click when students connect them to concrete things they already understand.
- Start every decimals session by connecting to money. Students who struggle with "What is 0.75?" often instantly understand "What is 75 cents?" Use this connection: 0.75 is to 1 what 75 cents is to a dollar. Once the money analogy feels solid, extend to other contexts like meters and centimeters.
- For comparing decimals, teach students to add trailing zeros to make both numbers the same length. Comparing 0.35 vs. 0.305 is confusing, but comparing 0.350 vs. 0.305 makes it obvious that 350 thousandths > 305 thousandths. This trick doesn't change the value and eliminates the most common source of errors.
- When practicing addition and subtraction, use graph paper or turn lined paper sideways so each digit goes in its own column. Misaligned decimal points are the number one cause of wrong answers. The decimal points should form a straight vertical line.
- For rounding exercises, have your child circle the digit they're rounding to and underline the digit to its right (the one that decides up or down). This two-step visual process prevents the common mistake of rounding to the wrong place.
Common Mistakes to Watch For
- Thinking longer decimals are always larger: Students often say 0.305 > 0.35 because 305 is bigger than 35. They're ignoring place value and treating the decimal like a whole number. Adding trailing zeros (0.350 vs. 0.305) fixes this confusion immediately.
- Misaligning decimal points in addition/subtraction: A student adding 3.5 + 2.75 might line up the 5 and the 5 (right-aligning like whole numbers) and get 6.25 instead of the correct 6.25 — or worse, 5.80. The decimal points must stack vertically. Always.
- Dropping the decimal point entirely: When adding 1.5 + 2.3, some students write 38 instead of 3.8. They performed the addition correctly but forgot to place the decimal point in the answer. Teach them to place the decimal point in the answer first, before adding the digits.
- Rounding to the wrong place: Asked to round 4.367 to the nearest hundredth, a student rounds to 4.4 (nearest tenth) instead of 4.37. Circling the specific digit they're rounding to before doing anything else prevents this.
Frequently Asked Questions
When should my child start learning decimals?
Most curricula introduce decimals in 4th grade, starting with tenths and hundredths using money as the primary context. By 5th grade, students work with thousandths and perform all four operations. Decimal fluency is expected by the end of 6th grade.
My child understands fractions but struggles with decimals. How are they connected?
Every decimal is a fraction with a denominator of 10, 100, 1000, etc. 0.7 = 7/10. 0.25 = 25/100 = 1/4. If your child is strong with fractions, use that as the bridge: convert decimals to fractions they recognize, perform the operation, then convert back. Over time, they'll see decimals and fractions as two ways of writing the same thing.
Why does my child get decimal addition right but decimal subtraction wrong?
Subtraction with decimals requires borrowing across the decimal point, which is trickier than carrying in addition. If 3.20 - 1.75 requires borrowing from the ones column through the tenths to the hundredths, that's a lot of steps. Practice borrowing with simpler problems first, like 1.00 - 0.35, before moving to multi-step borrowing.
Is it okay to use a calculator for decimals?
For checking answers, absolutely. But students should be able to perform basic decimal operations by hand first. Understanding the process — especially decimal point placement — ensures they can estimate, catch errors, and make sense of calculator results. A student who enters 1.5 + 2.3 and sees 38 (because they missed the decimal key) should recognize that's wrong.
After mastering basic decimal operations, students advance to multiplying and dividing decimals, converting between decimals, fractions, and percentages, and working with decimals in algebraic expressions and real-world data analysis.
