Mrs.D Math · 7th Grade

NUMBER
SORTER

Classify Rational Numbers

✔ Natural

✔ Whole

✔ Integer

✔ Rational

🔮 Classify It

✓ True / False

🎲 Mixed

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🔮 Rational Number Sets

The Nested Sets — Always Find the MOST SPECIFIC

Set	Who belongs	Examples
Natural	Counting numbers starting at 1	1, 2, 5, 100
Whole	Natural numbers + zero	0, 1, 2, 3
Integer	Whole numbers + negatives	−3, −1, 0, 4
Rational	Any number writable as p/q	1/2, −0.75, 0.3̅

💡 Key Rule: Every inner set is inside all outer sets — a Natural Number is also Whole, Integer, AND Rational. But always pick the most specific (innermost) set.

Two Question Types

🔮 CLASSIFY IT

A number appears. Pick its most specific set — the innermost circle it belongs to. Even if 5 is technically a Rational Number, the correct answer is Natural Number.

✓ TRUE or FALSE

A number is shown inside a ring on the Venn diagram. Is it in its most specific set? Showing 5 in the Integer ring is FALSE — Natural is more specific.

How to Classify

1

Does it simplify to a positive whole number? → Natural Number

4/2 = 2 → Natural 1.0 = 1 → Natural

2

Does it equal exactly zero? → Whole Number (zero is NOT a Natural Number)

0/5 = 0 → Whole 0.0 → Whole

3

Does it simplify to a negative whole number? → Integer

−6/2 = −3 → Integer −4.0 → Integer

4

Is it a fraction or decimal that does not simplify to a whole number? → Rational Number

−3/4, 0.3̅, 11/4, 7/14 → Rational

5

True/False: TRUE only if the number is in its exact most specific set. Showing 50 in Integer is FALSE — Natural is more specific.

50 in Natural → TRUE 50 in Integer → FALSE

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QUESTION 1 / 10

CLASSIFY IT

Which set does this number belong to?

5

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Numbers classified!

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