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Question 151 Mark
Write a pair of integers whose difference gives
an integer greater than both the integers.
Answer
Let the pair be 14 and -6.
$\therefore$ Difference $=14-(-6)=14+6=20$,
which is greater than both the integer.
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Question 161 Mark
Write a pair of integers whose difference gives
an integer greater than only one of the integers.
Answer
Let the pair be 17 and 5.
$\therefore$ Difference $=17-5=12$,
which is greater than only one of the integers.
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Question 171 Mark
Write a pair of integers whose difference gives
an integer smaller than both the integers.
Answer
Let the pair be 5 and 8.
$\therefore$ Difference $=8-5=3$,
which is smaller than both the integers.
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Question 181 Mark
Write a pair of integers whose difference gives
zero.
Answer
Let the pair be -5 be -5.
$\therefore$ Difference $=-5-(-5)=-5+5=0$
which is a zero.
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Question 191 Mark
Write a pair of integers whose difference gives
a negative integer.
Answer
Let the pair be 3 and -8.
$\therefore$ Difference $=-8-3=-11$,
which is a negative integer.
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Question 201 Mark
Write a pair of integers whose sum gives
an integer greater than both the integers.
Answer
Let the pair be 18 and 17.
$
\therefore \text { Sum }=18+17=35 \text {, }
$
which is greater than 18 and 17.
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Question 211 Mark
Write a pair of integers whose sum gives
an integer smaller than only one of the integers.
Answer
Let the pair be 5 and - 3.
$
\therefore \text { Sum }=5+(-3)=2 \text {, }
$
which is greater than -3 and smaller than 5.
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Question 221 Mark
Write a pair of integers whose sum gives
an integer smaller than both the integers.
Answer
Let the pair be -5 and -3.
$
\therefore \text { Sum }=(-5)+(-3)=-5-3=-8
$
which is smaller than -5 and -3.
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Question 231 Mark
Write a pair of integers whose sum gives
zero.
Answer
Let the pair be -15 and 15.
$
\therefore \text { Sum }=-15+15=0
$
which is a zero.
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Question 241 Mark
Write a pair of integers whose sum gives
a negative integer.
Answer
Let the pair be -6 and -6.
$
\therefore \text { Sum }=(-6)+(-6)=-6-6=-12
$
which is a negative integer.
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Question 351 Mark
Evaluate each of the following.
$[(-6)+5] \div[(-2)+1]$
Answer
We have,
$[(-6)+5] \div[(-2)+1]=(-1) \div[(-2)+1]$$
=(-1) \div(-1)=\frac{-1}{-1}=1
$
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Question 361 Mark
Evaluate each of the following.
$[(-36) \div12] \div3$
Answer
We have, $[(-36) \div 12] \div 3=(-3) \div 3=\frac{-3}{3}=-1$
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Question 371 Mark
Evaluate each of the following.
$(-31) \div[(-30)+(-1)]$
Answer
We have,
$(-31) \div[(-30)+(-1)]$$
=(-31) \div(-31)=\frac{31}{31}=1
$
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Question 391 Mark
Evaluate each of the following.
$13 \div[(-2)+1]$
Answer
We have,
$13 \div[(-2)+1]=13 \div(-1)$$
=-(13 \div1)=-\left(\frac{13}{1}\right)=-13
$
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Question 401 Mark
Evaluate each of the following.
$(-49) \div(49)$
Answer
We have,
$(-49) \div49=-(49 \div 49)=-\left(\frac{49}{49}\right)=-1$
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Question 421 Mark
Evaluate each of the following.
$50 \div(-5)$
Answer
We have, $50 \div(-5)=-(50 \div5)=-\left(\frac{50}{5}\right)=-10$ 
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Question 431 Mark
Evaluate each of the following.
$(-30) \div10$
Answer
We have,
$(-30) \div10=-(30 \div10)=-\left(\frac{30}{10}\right)=-3$
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Question 441 Mark
Verify the following.
$(-21) \times[(-4)+(-6)]$ $=[(-21) \times(-4)]+[(-21) \times(-6)]$
Answer
We have, $18 \times[7+(-3)]=[18 \times 7]+[18 \times(-3)]$
$\begin{array}{l}\therefore \text { LHS }=18 \times[7+(-3)]=18 \times(7-3)=18 \times 4=72 \\
\text { and } \\
\text { RHS }=[18 \times 7]+[18 \times(-3)] \\
=126+[(-54)] \\
=126-54=72 \\
\because \text { LHS }=\text { RHS } \\
\text { Hence, } 18 \times[7+(-3)]=[18 \times 7]+[18 \times(-3)]\end{array}$
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Question 451 Mark
Find each of the following products.
$(-3) \times(-6) \times(-2) \times(-1)$
Answer
We have,
$\begin{aligned}
(-3) \times(-6) \times(-2) \times(-1) & =3 \times 6 \times 2 \times 1 =36\\ \end{aligned}$
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Question 461 Mark
Find each of the following products.
$(-1) \times(-2) \times(-3) \times 4$
Answer
We have,
$(-1) \times(-2) \times(-3) \times 4=-(1 \times 2 \times 3 \times 4)=-24$$$
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Question 471 Mark
Find each of the following products.
$(-18) \times(-5) \times(-4)$
Answer
We have,
$(-18) \times(-5) \times(-4)=-(18 \times 5 \times 4)=-360$$$
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Question 481 Mark
Find each of the following products.
$9 \times(-3) \times(-6)$
Answer
We have,
$9 \times(-3) \times(-6)=9 \times 3 \times 6=27 \times 6=162$
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Question 491 Mark
Find each of the following products.
$(-12) \times(-11) \times(10)$
Answer
We have,
$(-12) \times(-11) \times 10=12 \times 11 \times 10$ $=132 \times 10=1320$
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Question 501 Mark
Find each of the following products.
$(-15) \times 0 \times(-18)$
Answer
We have,
$(-15) \times 0 \times(-18)=[(-15) \times 0] \times(-18)$ $=0 \times(-18)=0$
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