Study Guide — 4.NF.C.7
Compare two decimals to hundredths by reasoning about their size
Fractions name equal parts of a whole — the denominator tells how many parts.
What this standard means
- Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model.
- Apply compare two decimals to hundredths by reasoning about their size with models and explanation
- Partitions shapes into equal parts
_See printable PDF for diagram._
How to use the 20 practice sets
| Sets | When to use | | --- | --- | | 1–5 | Intro — explore together, short written items | | 6–10 | Core skills — diagrams and written practice | | 11–15 | Mixed review — explain thinking | | 16–20 | Stretch — word problems and mastery tasks |
Pacing: 10–15 minutes per session.
How to practice
1. Fold paper or shade rectangles to show fractions 2. Use number lines for unit fractions 3. Compare fractions with the same denominator
_See printable PDF for diagram._
Common mistakes
- Unequal parts when partitioning
- Treating numerator and denominator as separate whole numbers
Review and practice tests
1. Start Review 1/10 when sets 1–3 feel comfortable. 2. Move up one review level with little help. 3. Use Practice Test 4/10–6/10 for mid-standard checks. 4. Practice Test 10/10 is the mastery bar for 4.NF.C.7.
- [ ] Partitions shapes into equal parts
- [ ] Names unit fractions
- [ ] Compares fractions with like denominators
Materials for this standard
- Practice Problems — 20 printable sets
- Review — 10 difficulty levels
- Practice Test — 10 difficulty levels
- Answer key — for parents and tutors