Q1: ___ is called the Additive identity.
Ans: 0 is called the additive identity. This is because addition of zero to any number bears the same number.
Q2: −3 is the ___ of 3.
Ans: −3 is the additive inverse of 3. This is because on adding the numbers, we get zero, i.e., (−3) + 3 = 0.
Q3: ___ ÷ 483 = 0
Ans: 0
Q4: −843 ÷ ___ = 1
Ans: -843
Q5: Integers are denoted using the alphabet ___?
Ans: Integers are denoted using the alphabet Z.
Q6: −9 __ 5. Fill in the blanks.
Ans: −9 < 5
Q7: Compare −815 and −814.
Ans: −815 < −814
Q8: Say true or false. The absolute value of an integer is always greater than the integer.
Ans: True
Q9: The predecessor of 219 is 218. Say true or false.
Ans: Predecessor of a number is the one that comes before the number.
Predecessor of a number
= Number 1
= (−219) 1
= 220.
Hence the statement is false.
Q10: (−14+6)___(−38−(−9)). Use >, <, =
Ans: Solving both sides, we get
(−14 + 6) __ (−38 − (−9))
−8 > −29
Q11: Add −9568 and −695.
Ans: Adding −9568 and −695,
Hence, the answer is −10,263.
Q12: Find the value of the following:
(a) −|−4|
(b) |7 − 4|
(c) 8 − |7|
Ans: (a) − |−4| = −4
(b) |7 − 4| = |3| = 3
(c) 8 − |7| = 8 − 7 = 1
Q13: Write in descending order: 21, 501, 2, 16, 81, 363.
Ans: 21, −2, −16, −81, −363, −501.
Q14: Write in ascending order: 365, 515, 102, 413, 7.
Ans: −515, −365, 7, 102, 413.
Q15: Write opposite of each of the following:
(a) A decrease of 9
(b) Spending Rs.500
Ans: (a) An increase of 9.
(b) Saving Rs.500.
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