Number and Operations>Classifying Whole Numbers, Integers, and Rational Numbers with Visuals(TEKS.Math.6.2.A)
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Texas 6th Grade Math › Number and Operations>Classifying Whole Numbers, Integers, and Rational Numbers with Visuals(TEKS.Math.6.2.A)
Whole numbers are 0, 1, 2, 3, ... Integers include the negative whole numbers as well as 0 and the positive whole numbers. Rational numbers are any numbers that can be written as a fraction or as a terminating or repeating decimal. Consider this set of numbers: -5, 3.2, 7, -1, 0, $4/3$, 2.5, -8.
How would these numbers be organized in a Venn diagram showing the relationship Whole ⊂ Integers ⊂ Rational?
Whole: 0, 7; Integers not whole: -5, -1, -8; Rational not integer: 3.2, 2.5, $4/3$
Whole: 0, 7, -1; Integers not whole: -5, -8; Rational not integer: 3.2, 2.5
Whole: 0; Integers not whole: -5, -1, -8, 7; Rational not integer: 3.2, 2.5
Whole: 0, 7, 3.2; Integers not whole: -5, -1, -8, $4/3$; Rational not integer: 2.5
Explanation
Whole numbers are 0 and positive counting numbers: 0, 7. Integers not whole are the negative integers: -5, -1, -8. Rational not integer numbers include decimals/fractions that are not whole/integer values: 3.2, 2.5, $4/3$.
Whole numbers are 0, 1, 2, 3, ... Integers include the negative whole numbers as well as 0 and the positive whole numbers. Rational numbers are any numbers that can be written as a fraction or as a terminating or repeating decimal. Consider this set of numbers: -9, $4/3$, 2.5, 0, -7.0, 5, $-1/4$.
Which numbers from this set are rational numbers but not integers?
2.5, $4/3$
2.5, $4/3$, -7.0
2.5, $4/3$, $-1/4$
$4/3$, $-1/4$, 0
Explanation
Integers in the set are -9, 0, -7.0 (which equals -7), and 5. The numbers that are rational but not integers are 2.5, $4/3$, and $-1/4$.