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Question 11 Mark
Use the numbers 3, -2, 5, -6 exactly once and the operations ‘+’, ‘-’, and ‘×’ exactly once and brackets as necessary to write an expression such that:
The result is the minimum possible
Answer
Minimum possible value = [3 – (-2) + 5)] × (-6)
= (3 + 2 + 5) × -6
= -60
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Question 21 Mark
Use the numbers 3, -2, 5, -6 exactly once and the operations ‘+’, ‘-’, and ‘×’ exactly once and brackets as necessary to write an expression such that:-
The result is the maximum possible
Answer
Maximum possible value = [(-2) – (3 + 5)] × (-6)
= (-2 – 8) × (-6)
= 60
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Question 31 Mark
Find the value of:
(280 × (-7)) ÷ ((-8) × (-35))
Answer
Here [280 × (-7)] ÷ [(-8) × (-35)]
= (-1960) ÷ 280
= -7
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Question 41 Mark
Find the value of:
(25 × (-12)) ÷ ((45) × (-27))
Answer
Here [25 × (-12)] ÷ [45 × (-27)]
= (-300) ÷ (-1215)
$=\frac{20}{81}$
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Question 81 Mark
Find the integer whose product with (-1) is:
1
Answer
Here, (-1) × (-1) = 1
∴ (-1) is the required integer.
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Question 101 Mark
Find the integer whose product with (-1) is:
-31
Answer
Here, (-1) × 31 = -31
∴ 31 is the required integer.
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Question 111 Mark
Find the integer whose product with (-1) is:
27
Answer
Here, (-1) × (-27) = 27
∴ -27 is the required integer.
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Question 121 Mark
Find the value of the following expression:
(-56) ÷ (-2)
Answer
(-56) ÷ (-2) or (-2) × ________ = (-56)
We know that, (-2) × 28 = -56
So, (-56) ÷ (-2) = 28
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Question 131 Mark
Find the value of the following expression:
84 ÷ (-4)
Answer
84 ÷ (-4) or (-4) × ________ = 84
We know that, -4 × (-21) = 84
So, 84 ÷ (-4) = -21.
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Question 141 Mark
Find the value of the following expression:
(-27) ÷ 9
Answer
(-27) ÷ 9 or 9 × ________ = -27
We know that, 9 × (-3) = -27
So, (-27) ÷ 9 = -3
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Question 151 Mark
Find the value of the following expression:
(-2) × (-1) × (-5) × (-3)
Answer
Here [(-2) × (-1)] × [(-5) × (-3)]
= 2 × (-5) × (-3)
= 2 × 15
= 30
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Question 161 Mark
Find the value of the following expression:
(-7) × 4 × (-1)
Answer
Here (-7) × 4 × (-1) = [(-7) × 4] × (-1)
= (-28) × (-1)
= 28
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Question 171 Mark
Find the value of the following expression:
(-5) × (18 + (-3))
Answer
Given (-5) × [(18 + (-3)] = -5 × 18 + (-5) × (-3) [∵ a(b + c) = ab + ac]
= -90 + 15
= -75
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Question 181 Mark
Replace the blank with an integer to make a true statement:
________ ÷ (-8) = 7
Answer
x ÷ 12 = -11
$\begin{array}{l}\Rightarrow x \times \frac{1}{12}=-11 \\ \Rightarrow x=-11 \times 12=-132\end{array}$
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Question 191 Mark
Replace the blank with an integer to make a true statement:
________ ÷ (-8) = 7
Answer
x ÷ (-8) = 7
$\begin{array}{l}\Rightarrow x \times \frac{1}{-8}=7 \\ \Rightarrow x=7 \times(-8)=-56\end{array}$
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Question 201 Mark
Replace the blank with an integer to make a true statement:
________ × (-12) = 132
Answer
x × (-12) = 132
$\Rightarrow x=\frac{132}{-12}=-\frac{-(132)}{12}=-11$
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Question 211 Mark
Replace the blank with an integer to make a true statement:
________ × (-8) = (-56)
Answer
x × -8 = -56
$\Rightarrow x=\frac{-56}{-8}=7$
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Question 221 Mark
Replace the blank with an integer to make a true statement:
5 × _______ = (-35)
Answer
5 × x = -35
$\Rightarrow x=\frac{-35}{5}=-\frac{(35)}{5}=-7$
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Question 231 Mark
Replace the blank with an integer to make a true statement:
(-3) × ________ = 27
Answer
Let -3 × x = 27
$\Rightarrow x=\frac{27}{-3}=-\frac{(27)}{3}=-9$
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