Question 1.
Fill in the blanks:
a. Integers contain whole numbers and ___________numbers.
b. The greatest negative integer is________________
c. The successor of -99 is___________________
d. 0 is greater than every _________________integer.
e. The sign of the product of 8 negative integers and one positive integer is_______________
f. -7 x 29 x 0 x (-8) = _____________________
g. (-13) + __________ = (-13)
h. ____________ ÷ (-15) = 0
i. _____________ x 1 = 129
j. -8 / 2 = _________________
k. For all integers a, a ÷ _____________ = a and a ÷ (-1) = ________
l. When the dividend and divisor are of opposite sign, the quotient has a ___________sign.
m. On number line, when we add a positive integer or subtract a negative integer, we move to the_____________
n. We move to the _________on a number line if we add a negative integer or subtract a positive integer.
o. _______________is not commutative for integers.
p. [(– 10) × (+ 9)] + (– 10) = ________
Question 2.
State True and False
i. The product of three negative integers is a negative integer.
ii. The product of a negative and positive integer may be zero.
iii. The smallest positive integer is 1.
iv. The identity element for addition in integers is 1.
v. The additive inverse of zero is the number itself.
vi. $ (-1)^{103} + (-1)^{104} = 0$
vii. The sum of two negative integers is less than either of the addends.
viii. Multiplication is not commutative for integers
ix. a – b = b – a
x. – 3 × 3 = – 12 – ( – 3)
Question 3.
One autumn morning the temperature went up from -4 ° C to 5° C
a. By how many degrees did the temperature rise?
b. During the afternoon the temperature then fell by seven degrees from 5°C .What was the temperature at the end of afternoon?
Question 4
Height of a place A is 1800 m above sea level. Another place B is 700 m below sea level. What is the difference between the levels of these two places?
Question 5.
If p * q means p × q + 1 and p # q means – p + q –(–2), then find the value of the following:
(i) – 4 * 3
(ii) (–3) * (–2)
(iii) (–7) # (–3)
(iv) 2 # (–4)
(v) 7 * (–5)
(vi) (–7 * 2) # 3
Question 6.
Carry out the following addition and subtraction of integers
a. (-11) + (12) - (-10)
b. -1 - [ -1 - (-2)]
c. (-4) - (-8) - (-10)
d. -18 - (+10)
e. (-99) - (+1)
f. 999 - (-1)
Answers
1
a. Negative
b. -1
c. -98
d. negative
e. positive
f. 0
g. 0
h. 0
i. 129
j. -4
k. 1 and -a
l. negative
m. right
n. left
o. subtraction or division
p. -100
2.
i. True
ii. False
iii. True
iv. False
v. True
vi. True
vii. True
viii. True
ix. False
x. True
3.
a. 9
b. -2
4. 2500
5.
i. -11
ii. 7
iii. 6
iv. -4
v. -34
vi. 18
6.
a.11
b. -2
c. 14
d. -28
e. -100
f. 1000
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