Grade 5Mathmedium
Grade 5 Decimals Practice Worksheet
This worksheet covers decimal place value, comparing and ordering decimals, and basic operations with decimals including addition, subtraction, and multiplication.
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What Your Child Will Learn
- Identify the place value of digits in decimal numbers up to hundredths place (0.01)
- Compare and order decimal numbers using place value understanding and inequality symbols
- Solve addition and subtraction problems with decimals to hundredths, aligning decimal points correctly
- Apply multiplication strategies to multiply whole numbers by decimals and decimals by decimals
- Convert between different decimal representations and recognize equivalent decimal forms
How to Use This Worksheet
- Step 1: Begin with the place value section, having students read each decimal aloud and identify what digit is in the tenths and hundredths places
- Step 2: Work through the comparing and ordering problems by having students line up numbers vertically to compare place values from left to right
- Step 3: Complete addition and subtraction problems by emphasizing decimal point alignment and adding zeros as placeholders when needed
- Step 4: Tackle multiplication problems starting with whole number × decimal before moving to decimal × decimal problems
- Step 5: Review answers together, focusing on any mistakes in decimal point placement or place value understanding
Tips for Parents & Teachers
Use base-ten blocks or decimal squares to help students visualize tenths and hundredths - many G5 students struggle with the abstract concept that 0.3 equals 0.30 without concrete representation
When teaching decimal operations, emphasize the critical rule of aligning decimal points vertically in addition and subtraction - create a mantra like 'dots under dots' to help students remember
Address the common misconception that longer decimal numbers are always larger (like thinking 0.234 > 0.7) by having students convert to the same number of decimal places for comparison
For decimal multiplication, start with money contexts ($2.50 × 3) before moving to abstract problems, as this connects to students' real-world experience with decimals
Frequently Asked Questions
Why does my child keep making mistakes when adding decimals like 2.5 + 1.23?
This usually happens when students don't align decimal points properly or forget that 2.5 is the same as 2.50. Have them rewrite 2.5 as 2.50 so both numbers have the same number of decimal places, then stack them with decimal points aligned vertically.
How can I help my child understand that 0.7 is greater than 0.68?
Convert both to the same number of decimal places: 0.7 becomes 0.70, and now they can clearly see that 70 hundredths is more than 68 hundredths. Using money (70¢ vs 68¢) also makes this comparison concrete.
My child gets confused about where to put the decimal point when multiplying decimals - what's the rule?
Count the total number of decimal places in both factors being multiplied, then place the decimal point in the answer so it has that same total number of decimal places. For example, 2.5 × 1.3 has 2 decimal places total, so the answer 3.25 needs 2 decimal places.
Should my 5th grader memorize decimal equivalents for common fractions?
Yes, learning that 1/2 = 0.5, 1/4 = 0.25, 3/4 = 0.75, and 1/5 = 0.2 will help them with estimation and number sense. These connections make decimals feel less abstract and more connected to fractions they already understand.
What should I do if my child is struggling with decimal place value concepts?
Use hundreds grids or decimal squares where they can shade parts to represent decimals visually. Also connect to money - since most 5th graders understand that $0.25 is 25 cents, use this familiar context to build understanding of place value in other decimal contexts.
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