Page 26 - Concepts of Reasoning-8

Worksheet-1.3

Properties of Rational Numbers : Additive and Multiplicative Identity,
Additive and Multiplicative Inverse, Distributive Property

1. Write in short form :
2 [ ] –3
a. + 0 = _____. b. 1 × =
3 [ ] 5
–15 1 2 5 1 [ ] [ ] 5
c. 0 × = _____ . d. × + = × × ×
42 2 5 10 2 [ ] [ ] 10
e. 1 × 2 – 3 = 1 × [ ] + [ ] × 3
5 15 10 5 [ ] [ ] 10
2. Give one example for each of the following properties of rational numbers :
a. Additive identity

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b. Multiplicative identity

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c. Distributive property of multiplication over addition
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3. Simplify the following using distributive property of rational numbers.
–2 1 2
a. × +
3 2 3
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–2 3 3 5
b. × + ×
3 5 5 6
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8 9
c. (–2) × ×
9 8
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26 Reasoning - 8