Grade 4 Decimals (Basic) - Hard
A hard grade 4 worksheet for Decimals.
Worksheet snapshot
- Decimals (basic)
- Key concepts: Understanding core decimals (basic) concepts for Grade 4; Applying decimals (basic) strategies appropriate to Grade 4
- Students master decimals (basic) at Grade 4 level, working with challenging problems, explaining their reasoning, and applying concepts to new situations.
- Apply it: Decimals (basic) at the Grade 4 level connects to everyday situations students encounter: problem-solving in daily life, making sense of quantities and relationships, and building mathematical literacy for future learning.
- 86.71 / 56.72
- 75.26 * -2.26
- -25.16 + -45.55
About Decimals (basic)
Decimals are another way to represent parts of a whole, extending our place value system to the right of the ones place. Students learn to read, write, compare, and operate with decimals, connecting them to fractions and real-world applications.
Decimals are used in money, measurement, science, and data representation. They're essential for precision in calculations and connect directly to percentages and scientific notation. Strong decimal understanding supports success in algebra, statistics, and practical applications.
Decimals (tenths and hundredths)
Read, write, and compare decimals to hundredths; relate decimals to fractions and place value.
This hard level worksheet:
Solve word problems with money/measurement contexts; explain comparisons using place value and equivalent fractions.
Key Concepts
- Tenths/hundredths place value
- Decimals as fractions (denominators 10, 100)
- Compare/order decimals with benchmarks
Prerequisite skills
Place value to thousands; fraction benchmarks; money sense.
Teaching Strategies
Use base-ten grids and money to model tenths/hundredths; align decimal points when comparing; connect fraction/decimal representations; use number lines regularly.
Assessment ideas
Test decimal place value understanding with ordering and comparing tasks. Include decimal operations appropriate to grade level. Ask students to convert between fractions and decimals. Use money context problems. Have students estimate before calculating with decimals.
Common Challenges
Thinking more digits means larger; misplacing decimal points; not aligning place values when comparing.
Real-World Applications
Money, measurements to the nearest tenth/hundredth, and simple data/graphs.
Extension Activities
Place fractions and decimals on the same number line; create a price list and compare totals; write decimals in multiple forms.
Parent Tips
Use coins and metric measurements to practice decimals; when comparing prices, align decimal points and reason about tenths vs. hundredths.