From Class 3 to Class 4: What Changes with Decimals?

In Class 3, children work almost entirely with whole numbers. The jump to Class 4 introduces the decimal point — a small dot that changes everything about how numbers are read, compared, and calculated.

The single most important shift is this: digits to the right of the decimal point get smaller, not larger. In whole numbers, moving left increases value (ones → tens → hundreds). After the decimal point, moving right decreases value (tenths → hundredths). Children who apply whole-number intuition to decimals will consistently make errors — especially when comparing 3.7 and 3.25, where "25 looks bigger than 7" but 3.25 is actually smaller.

This worksheet is built to establish the correct intuition from the first question.

What is a Decimal? (And How to Read One Correctly)

A decimal is a way of writing numbers that are between two whole numbers — numbers that include a part of a whole. The decimal point (.) separates the whole number on the left from the fractional part on the right.

Place value after the decimal point:

The first digit after the decimal point sits in the tenths place — it tells you how many tenths. In 3.5, the 5 means five-tenths, or five parts out of ten equal parts of a whole.

The second digit after the decimal point sits in the hundredths place — it tells you how many hundredths. In 3.52, the 2 means two-hundredths.

Reading decimals correctly: 3.5 is read as "three point five" — not "three and five" and not "three point fifty." Each digit after the decimal is read individually. 3.52 is "three point five two," not "three point fifty-two."

Decimals in daily life: Rupees and paise are the most natural decimal context for Indian children. ₹3.50 means 3 rupees and 50 paise — 3 whole rupees and fifty-hundredths of another rupee. Heights (1.2 m, 1.5 m), weights (12.5 kg, 7.8 kg), and distances (2.8 km, 3.5 km) all use decimals in the same way. This worksheet uses all four contexts across its 24 questions.

Solved Example: Understanding Decimals Visually

Problem: Represent 2.3 using a visual model and explain what it means.

Solution:

• 2.3 means "2 whole units and 3 tenths"
• Visual: Two complete squares + three out of ten parts of another square shaded
• Written form: 2 + 0.3 = 2.3
• Read as: "Two point three"

Answer: 2.3 represents two complete wholes plus three-tenths of another whole.

Free Class 4 Decimals Worksheet PDF — Progressive Practice Sums with Answer Key

Download the complete worksheet here. The PDF includes all 24 questions across 3 difficulty levels, visual decimal grid models, step-by-step diagrams for word problems, and a full answer key.

Frequently Asked Questions

Is 0.8 greater than 0.5?

‍Yes. 0.8 means eight-tenths and 0.5 means five-tenths. Since eight-tenths is more than five-tenths, 0.8 > 0.5. The comparison works the same way as comparing 8 and 5 — as long as the place values are the same.

Is 3.25 greater than 3.7?

‍No. To compare, align the digits by place value: tenths first. 3.7 has 7 in the tenths place; 3.25 has 2 in the tenths place. Since 7 tenths > 2 tenths, 3.7 is larger. The hundredths digit (5) in 3.25 is irrelevant once the tenths digits differ. This is the most commonly missed comparison question at Class 4 level.

Is 4.7 the same as 4.70?

‍Yes. Adding a zero after the last digit in the decimal part (a trailing zero) does not change the value. 4.70 still means 4 wholes and 7 tenths — the zero in the hundredths place adds nothing. This is tested directly in Q12.

How do you add decimals without making mistakes?

‍Write the numbers one below the other with decimal points aligned vertically. Add column by column from right to left, exactly like whole number addition. The decimal point in the answer goes directly below the decimal points in the addends. If one number has fewer decimal places, add a zero to fill the gap (e.g., 3.5 + 1.25 becomes 3.50 + 1.25).

How do you subtract decimals?

‍Same principle as addition — align decimal points, add zeros if needed to make both numbers the same length, then subtract column by column. The hardest subtraction problems are ones where borrowing is needed across the decimal point, like 12.5 − 7.8.

What is the difference between tenths and hundredths?

‍Tenths divide a whole into 10 equal parts — one-tenth is 0.1. Hundredths divide a whole into 100 equal parts — one-hundredth is 0.01. One-tenth equals ten-hundredths: 0.1 = 0.10. ₹1 divided into 10 equal parts gives 10 paise each (tenths). ₹1 divided into 100 equal parts gives 1 paise each (hundredths).

Want Your Child to Use Decimals in Real Decisions?

Decimals are not just a Class 4 topic — they are the language of measurement. The Applied Maths Project Kit by Thinking Juggernaut includes activities where children measure lengths, compare quantities, and calculate with real numbers that naturally involve decimals.

Explore the Kit →

What's Inside the Worksheet — All 3 Levels

Part A – Warm-Up (Easy ⭐) — 8 Questions

Direct reading, writing, and comparing of simple one-decimal-place numbers. Children write decimals from words, read shaded grids, circle the larger of two decimals, and convert between expanded form (4 + 0.6) and decimal notation (4.6). No calculation required — this section tests whether the foundational reading of decimals is in place before any arithmetic begins.

Sample: Fill in the blank: 3.2 means 3 wholes and ___ tenths.Sample: Which is bigger — 2.5 or 2.3?

Part B – Practice (Medium ⭐⭐) — 10 Questions

Introduces addition, subtraction, ordering (ascending and descending), comparison using >, <, =, and two single-step word problems — one using heights (metres) and one using money (rupees). Also includes a true/false on trailing zeros (Q12) and a column matching exercise linking decimals to their word forms.

Sample: Rohan ran 2.8 km on Monday and 3.5 km on Tuesday. How many kilometres in total?Sample: Arrange in ascending order: 3.7, 3.2, 3.9, 3.5

Part C – Challenge (Hard ⭐⭐⭐) — 6 Questions

Multi-step word problems using weight (kg of apples), length (rope cutting), and money (three-item grocery bill). Includes adding three decimals in sequence, a reverse problem (find how much was added to reach a known total), and ordering four decimals in descending order. The grocery bill problem (Q22) is the most complex: three different prices to add, two involving hundredths, giving a total in rupees and paise.

Sample: Meena bought milk for ₹25.50, bread for ₹18.75, and butter for ₹45.25. What is the total cost?Sample: A water tank has 15.4 L. After adding water it has 23.7 L. How many litres were added?

Common Mistakes & Tips

Common Mistakes to Avoid:

• Ignoring Place Value: Students often think 0.8 equals 8 because they focus only on the digit. Always emphasize that 0.8 means "eight-tenths," which is less than 1.
• Comparing Without Alignment: When comparing 3.7 and 3.25, students may think 3.25 is larger because "25 is bigger than 7." Teach them to compare digit by digit from left to right.
• Addition Alignment Errors: When adding 2.3 + 1.5, ensure decimal points are aligned vertically to avoid mistakes.
• Zero Confusion: Students forget that 4.7 and 4.70 represent the same value. Trailing zeros after the decimal don't change the number.

Top 5 Pro-Tips:

1. Visualize with Grids: Use 10-square grids to represent tenths. Shading parts makes abstract decimals concrete and understandable.
2. Align Decimal Points: When adding or subtracting, always line up the decimal points vertically before calculating.
3. Compare Left to Right: To compare decimals, start from the leftmost digit and move right, just like whole numbers.
4. Use Money for Practice: Rupees and paise provide excellent real-world decimal practice (₹5.50 = 5 rupees and 50 paise).
5. Read Aloud Correctly: Practice saying "point" instead of "and" (read 6.4 as "six point four," not "six and four").

Assessing Learning: Scoring Guide

Total Questions: 24 | Total Marks: 24

Score: 20 – 24 (Excellent! ⭐⭐⭐)

• Next Step: You've mastered Class 4 decimals! Try practicing hundredths (0.25, 0.73) or explore Class 5 decimal concepts.

Score: 15 – 19 (Very Good! ⭐⭐)

• Next Step: Strong understanding! Review comparison and subtraction problems to reach the top tier.

Score: 10 – 14 (Good Effort! ⭐)

• Next Step: Focus on place value understanding. Practice with visual grid models and real-life examples like measuring height or money.

Score: 0 – 9 (Keep Trying! 💪)

• Next Step: Start with basics. Use physical models, practice reading decimals aloud, and work through easier problems with help from a teacher or parent.

Why do children struggle with decimal comparison more than whole number comparison?

‍With whole numbers, more digits always means a larger number. With decimals, this rule breaks down — 3.7 has fewer digits than 3.25 but is larger. Children who have internalised "more digits = bigger number" need to explicitly unlearn this rule for decimals. The fix is column-by-column comparison starting from the leftmost digit, which works for both whole numbers and decimals.

Which real-life contexts are best for practising decimals at Class 4 level?

‍Money (₹ and paise) is the most intuitive because children encounter it daily. Height measurement in metres (1.2 m, 1.5 m) is excellent for comparison problems. Weight in kilograms (12.5 kg) and distance in kilometres (2.8 km) work well for addition and subtraction. This worksheet uses all four contexts deliberately so that children see decimals as a general-purpose tool rather than a classroom-only concept.