Page 27 - Concepts of Reasoning-8

Worksheet-1.4

Miscellaneous

1. State whether the following statements are true or false. Justify your answer :
45 15 15 45
a. – = – ____________________________________
23 14 14 23

1 –8 9 1 –8 1 9
b. × – = × – × ____________________________________
3 9 8 3 9 3 8

8 5 1 8 5 1
c. – – = × – ____________________________________
7 7 7 7 7 7
19 19
d. × 0 = ____________________________________

45 45
2. Answer the following :

a. Do the rational numbers satisfy closure property under division? Verify with an example.
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b. Is 1 the multiplicative identity of rational numbers? Give an example to justify your answer.

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c. Do rational numbers satisfy associativity under subtraction? Verify with an example.
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HOTS (Higher Order Thinking Skills)

Simplify the following using distributive property.
1 × –2 – + 1 – + 5
2 3 3 6
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27 Reasoning - 8