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21 questions · self-marked practice — reveal the answer and mark yourself.

Question 12 Marks
If a × (-1) = -30, is the integer a positive or negative?
Answer
When multiplied by ‘a’ negative integer, a gives a negative integer. Hence, ‘a’ should be a positive integer.
a = 30
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Question 22 Marks
Find the value of:
$(-15)+4\div(5-3)$
Answer
$(-15)+4\div(5-3)$
$=-15+4\div2$
$=-15+2$
$=-13$
$-15+4\div(5-3)=-13$
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Question 32 Marks
Find the value of:
$(-20)\times(-1)+(-28)\div7$
Answer
$(-20)\times(-1)+(-28)\div7$
$=20+\frac{|-28|}{|7|}$
$=20-\frac{28}{7}$
$=20-4$
$=16$
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Question 42 Marks
Find the value of:
$16+8\div4-2\times3$
Answer
$16+8\div4-2\times3$
$=16+2-6$
$=18-6$
$=12$
$\therefore16+8\div4-2\times3=12$
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Question 52 Marks
State which is greater:
(8 - 9) × 10 and 8 - 9 × 10
Answer
⇒ (8 - 9) × 10 = -1 × 10
⇒ (8 - 9) × 10 = -10
⇒ 8 - 9 × 10 = 8 - 90 = -82
(8 - 9) × 10 > 8 - 9 × 10
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Question 62 Marks
Simplify the following:
$3-(5-6\div3)$
Answer
$3-(5-6\div3)$
$=3-(5-2)$
$=3-3$
$=0$
$\therefore3-(5-6\div3)=0$
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Question 72 Marks
State which is greater:
{(-2) - 5} × (-6) and (-2) - 5 × (-6)
Answer
((-2) - 5) × -6
= (-7) × (-6)
= (7 × 6)
= 42
(-2) - 5 × (-6)
= -2 + (5 × 6)
= 30 - 2
= 28
Therefore, ((-2) - 5×(-6)) > (-2) - 5 × (-6)
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Question 82 Marks
Find of the following products:
(-2) × (-4) × (-6) × (-8)
Answer
(-2) × (-4) ×(-6) × (-8)
= (2 × 4) × (6 × 8)
= (8 × 48)
= 384
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Question 102 Marks
Simplify the following:
$-25+14\div(5-3)$
Answer
$-25+14\div(5-3)$
$=-25+14\div(2)$
$=-25+\frac{14}{2}$
$=-25+7$
$=-18$
$\therefore-25+14\div(5-3)=-18$
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Question 112 Marks
Find the value of:
$21-12\div3\times2$
Answer
$21-12\div3\times2$
$=21-\frac{12}{3}\times2$
$=21-4\times2$
$=21-8$
$=13$
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Question 122 Marks
Find of the following products:
3 × (-8) × 5
Answer
We have,
3 × (-8) × 5
= -(3 × 8) × 5
= (-24) × 5
= -(24 × 5)
= -120
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Question 132 Marks
Find the value of:
$(-3)+(-8)\div(-4)-2\times(-2)$
Answer
$(-3)+(-8)\div(-4)-2\times(-2)$
$=(-3)+\frac{(-8)}{(-4)}-2\times(-2)$
$=-3+2+4$
$=6-3$
$=3$
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Question 142 Marks
Find the value of:
$(-3)\times(-4)\div(-2)+(-1)$
Answer
$(-3)\times(-4)\div(-2)+(-1)$
$=12\div(-2)+(-1)$
$=-6-1$
$=-7$
$\therefore(-3)\times(-4)\div(-2)+(-1)=-7$
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Question 152 Marks
State which is greater:
(8 + 9) × 10 and 8 + 9 × 10
Answer
⇒ (8 + 9) × 10 = 17 × 10
⇒ (8 + 9) × 10 = 170
⇒ 8 + 9 × 10 = 8 + 90 = 98
(8 + 9) × 10 > 8 + 9 × 10
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Question 162 Marks
If a × (-1) = 30, is the integer a positive or negative?
Answer
When multiplied by ‘a’ negative integer, a gives a positive integer. Hence, ‘a’ should be a negative integer.
a = -30
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Question 172 Marks
Find of the following products:
9 × (-3) × (-6)
Answer
We have,
9× (-3) × (-6)
= -(9 × 3) × (-6)
= (-27) × (-6)
= +(27 × 6)
= 162
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Question 192 Marks
Verify the following:
19 × {7 + (-3)} = 19 × 7 + 19 × (-3)
Answer
L.H.S = 19 × (7+ (-3))
= 19 × (7 - 3)
= 19 × 4
= 76
R.H.S = 19 × 7 + 19 × (-3)
= 133 - 57
= 76
Therefore, L.H.S = R.H.S
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Question 202 Marks
Find the value of:
$(-40)\times(-1)+(-28)\div7$
Answer
$(-40)\times(-1)+(-28)\div7$
$=40+(-4)$
$=40-4$
$=36$
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Question 212 Marks
Find of the following products:
(-2) × 36 × (-5)
Answer
We have,
(-2) × 36 × (-5)
= -(2 × 36) × (-5)
= (-72) × (-5)
= (72 × 5)
= 360
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