what rational number is between 7 2/3 and √60
Answers
Answer:
Page No 58:
Question 1:
Identify the property in the following statements:
(i) 2 + (3 + 4) = (2 + 3) + 4; (ii) 2.8 = 8.2; (iii) 8. (6 + 5) = (8.6) + (8.5).
ANSWER:
(i) 2 + (3 + 4) = (2 + 3) + 4
This is the associative property under addition.
(ii) 2·8 = 8·2
This is the commutative property under multiplication.
(iii) 8· (6 + 5) = 8·6 + 8·5
This is the distributive property of multiplication over addition
Page No 58:
Question 2:
Find the additive inverses of the following integers:
6, 9, 123, −76, −85, 1000
ANSWER:
Here, 6 + (−6) = 6 − 6 = 0
Thus, − 6 is the additive inverse of 6.
9 + (−9) = 9 − 9 = 0
Thus, −9 is the additive inverse of 9.
123 + (−123) = 123 − 123 = 0
Thus, −123 is the additive inverse of 123.
(−76) + 76 = −76 + 76 = 0
Thus, 76 is the additive inverse of −76.
(−85) + 85 = −85 + 85 = 0
Thus, 85 is the additive inverse of −85.
1000 + (−1000) = 1000 − 1000 = 0
Thus, −1000 is the additive inverse of 1000.