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

Question 11 Mark
Write the following integers in the decreasing order: $51, -53, -8, 0, -2$
Answer
$51 > 0 > -2 > -8 > -53$
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Question 41 Mark
Simplify:
$1056 + (-798) + (-38) + 44 + (-1)$
Answer
$1056 + (-798) + (-38) + 44 + (-1)$
$= 1056 + 44 – (798 + 38 + 1)$
$= 1100 – 837$
$= -263$
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Question 71 Mark
Indicate the following using $‘+’$ or $‘-‘$ sign: $7^\circ$C Below the freezing point
Answer
$-7^\circ C$
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Question 81 Mark
Simplify: $(-36) \times (72) + (-36) \times 28$
Answer
$(-36) \times (72) + (-36) \times 28 $
$= (-2592) + (-1008) $
$= -2592 - 1008$
$ = -3600$
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Question 101 Mark
Add $-36$ to the difference of $-8$ and $-68.$
Answer
$= -8 - (-68) + (-36) $
$= -8 + 68 - 36$
$ = 68 - (8 + 36) $
$= 68 - 44 = 24$
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Question 111 Mark
Add: $\ -493\\ \underline{\ +289\ } \\\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ }$
Answer
$\ -493\\ \underline{\ +289\ } \\\underline{\ -204\ \ }$
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Question 121 Mark
Fill in the blank. The smallest positive integer is ____.
Answer
The smallest positive integer is 1.Solution:
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Question 161 Mark
Find the sum of: $-51, -203, 36$ and $-28$
Answer
$(-51) + (-203) + 36 + (-28) $
$= -51 – 203 + 36 – 28$
$ = -282 + 36 $
$= -246$
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Question 171 Mark
Evaluate: $(-40) ÷ (-10)$
Answer
$(-40)\div(-10)$ $=\frac{-40}{-10}$ $=\frac{(-1)\times40}{(-1)\times10}$ $=4$
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Question 221 Mark
Use convenient groupings and find the values of: $(-8) \times (-63) \times 9$
Answer
$(-8) \times (-63) \times 9 = (-8) \times (-567) = 4536$
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Question 241 Mark
Which number is smaller the following pairs? $-13, -27$
Answer
$-27 < -13$ Since $27$ is greater than $13, -27$ is smaller than $-13.$
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Question 261 Mark
In the pairs given below, find the larger integer. $-4, -6$
Answer
$-4, -6 -4$ Since $6$ is greater than $4, -4$ is greater than $-6.$
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Question 281 Mark
Find the additive inverse of:$-1001$
Answer
$-1001 + 1001 = 0 $
$$So, the additive inverse of $-1001$ is $1001.$
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Question 311 Mark
Write the following integers in the decreasing order: $-365, -515, 102, 413, -7$
Answer
$413 > 102 > -7 > -365 > -515$
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Question 351 Mark
Write the following integers in the increasing order: $21, -106, -16, 16, 0, -2, -81$
Answer
$-106 < -81 < -16 < -2 < 0 < 16 < 21$
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Question 371 Mark
Write the opposite of the following:
$5^\circ C $ below the freezing point
Answer
$ 5^\circ C$ above freezing point
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Question 401 Mark
Write the following integers in the increasing order: $-23, 12, 0, -6, -100, -1$
Answer
$-100 < -23 < -6 < -1 < 0 < 12$
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Question 411 Mark
Add: $-\ 365\\ \underline{\ -87\ } \\\underline{\ \ \ \ \ \ \ \ \ \ \ }$
Answer
$-\ 365\\\underline{\ -87}\\ \underline{-\ 452\ }$
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Question 481 Mark
Add:
$-\ 1065\\ \underline{\ -987\ }\\ \underline{\ \ \ \ \ \ \ \ \ \ \ \ \ }$
Answer
$-\ 1065\\ \underline{\ -987\ }\\ \underline{-\ 2052\ }$
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Question 501 Mark
Write four integers less than $-6$ and four integers greater than $-6.$
Answer
Four integers less than $-6 ($i.e. four negative integers that lie to the left of $-6)$ are $-7, -8, -9$ and $-10$.
Four integers greater than $-6 ($i.e. four negative integers that lie to the right of $-6 )$ are $-5, -4, -3$ and $-2$.
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Question 511 Mark
Find the sum of: $-312, 39$ and $192$
Answer
$(-312) + 39 + 192 $
$= -312 + 39 + 192 $
$= -312 + 231 $
$= -81$
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Question 551 Mark
In the pairs given below, find the larger integer. $0, -3$
Answer
$0, -3$
$0$ This is because $0$ is greater than any negative integer.
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Question 581 Mark
Add:
$-3596\\ \underline{-1089}\\\underline{\ \ \ \ \ \ \ \ \ \ \ }$
Answer
$-3596\\ \underline{-1089\ }\\\underline{-4685\ }$
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Question 651 Mark
Write the following integers in the decreasing order: $-71, -81, 36, 0, -5$
Answer
$36 > 0 > -5 > -71 > -81$
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Question 691 Mark
Fill in the blank. $(-8) + (-6) - (-3) =$ ______.
Answer
$(-8) + (-6) - (-3) =$ -11.
$(-8) + (-6) - (-3) = (-8) + (-6) + 3 = -8 - 6 + 3 = -11$
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Question 711 Mark
Use convenient groupings and find the values of: $(-51) \times (-47) \times (-19)$
Answer
$(-51) \times (-47) \times (-19) = (-51) \times 893 = -45543$
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Question 741 Mark
In the pairs given below, find the larger integer.
$-99, 9$
Answer
$-99, 9$
$9$
This is because every positive integer is greater than any negative integer.
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Question 761 Mark
Which number is smaller the following pairs?
$6, -7$
Answer
$-7 < 6$
This is because every positive integer is greater than every negative integer.
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Question 821 Mark
Add: $\ -73\\ \underline{-\ 687}\\\underline{ \ \ \ \ \ \ \ \ \ \ }$
Answer
$\ -73\\ \underline{-\ 687\ }\\\underline{-\ 760\ }$
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Question 871 Mark
Write the following integers in the increasing order:
$-17, 15, -363, -501, 165$
Answer
$-501 < -363 < -17 < 15 < 165$
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Question 901 Mark
Divide: $1765$ by $-1765$
Answer
$1765$ by -1765 $=\frac{1765}{-1765}$ $=-1\times\frac{1765}{1765}$ $=-1\times1$ $=-1$
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Question 921 Mark
For the following statement, write $(T)$ for true and $(F)$ for false: $0$ is larger than every negative integer.
Answer
True.
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Question 961 Mark
Find the products: $(-8) \times (-3) \times (-9)$
Answer
$(-8) \times (-3) \times (-9) = (-8) \times 27 = -216$
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Question 991 Mark
Find the additive inverse of: $2054$
Answer
$2054 – 2054 = 0$ So, the additive inverse of $2054$ is $-2054.$
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Question 1071 Mark
Which number is smaller the following pairs?
$0, -1$
Answer
$-1 < 0$
This is because zero is greater than every negative integer.
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Question 1111 Mark
Which number is smaller the following pairs? $-777, 7$
Answer
$777 < 7$ This is because every positive integer is greater than every negative integer.
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Question 1141 Mark
Fill in the blank.
$-23 - (?) = 15$
Answer
$-23 -$ (38) $= 15$
Let the required number be $x -23 - x = 15 $
$\Rightarrow -23 = 15 + x $
$\Rightarrow 15 + x = -23 $
$\Rightarrow x = -15 - 23 $
$\Rightarrow x = -38$
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Question 1161 Mark
Write the following integers in the decreasing order: $0, 7, -3, -9, -132, 36$
Answer
$36 > 7 > 0 > -3 > -9 > -132$
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Question 1221 Mark
Which number is smaller the following pairs? $-26, 17$
Answer
$-26 < 17$ This is because every positive integer is greater than every negative integer.
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Question 1241 Mark
Add: $+\ 178\\ \underline{\ -69\ } \\\underline{\ \ \ \ \ \ \ \ \ \ \ }$
Answer
$+\ 178\\\underline{\ -69}\\ \underline{+\ 109\ }$
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Question 1251 Mark
Add: $\ -103\\ \underline{\ +312\ } \\\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ }$
Answer
$\ -103\\ \underline{\ +312\ } \\\underline{\ +209\ \ }$
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Question 1271 Mark
Simplify: $37 + (-23) + (-65) + 9 + (-12)$
Answer
$37 + (-23) + (-65) + 9 + (-12) $
$= 37 + 9 – (23 + 65 + 12) $
$= 46 – 100 $
$= -54$
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Question 1331 Mark
Simplify: $(-7) + (-9) + 12 + (-16)$
Answer
$(-7) + (-9) + 12 + (-16) = 12 – (7 + 9 + 16) = 12 – 32 = -20$
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Question 1381 Mark
Find the products: $(-3) \times (-7) \times (-6)$
Answer
$(-3) \times (-7) \times (-6) = (-3) \times 42 = -246$
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Question 1411 Mark
Use convenient groupings and find the values of: $(-17) \times (-23) \times 41$
Answer
$(-17) \times (-23) \times 41 = (-17) \times (-943) = 16031$
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Question 1461 Mark
Use convenient groupings and find the values of: $18 \times (-27) \times 30$
Answer
$18 \times (-27) \times 30 = 18 \times (-810) = -14580$
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Question 1481 Mark
Simplify: $(-145) + 79 + (-265) + (-41) + 2$
Answer
$(-145) + 79 + (-265) + (-41) + 2 $
$= 79 + 2 – (145 + 256 + 41)$
$ = 81 – 451 $
$= -370$
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Question 1501 Mark
Find the additive inverse of: $183$
Answer
$183 – 183 = 0$ So, the additive inverse of $183$ is $-183.$
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Question 1541 Mark
In the pairs given below, find the larger integer. $-385, -615$
Answer
$-385, -615 -385$ Since $615$ is greater than $385, -385$ is greater than $-615.$
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Question 1551 Mark
For the following statement, write $(T)$ for true and $(F)$ for false: Every negative integer is less than every natural number.
Answer
True.
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Question 1561 Mark
Find an integer a such that: $a + (-4) = 0$
Answer
$a + (-4) = 0 $
$\Rightarrow a = 0 - (-4) $
$\Rightarrow a = 4$
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Question 1581 Mark
What are integers? Write all integers from $-5$ to $5.$
Answer
The numbers $-4, -3, -2, -1, 0, 1, 2, 3, 4$ are integers.
The group of positive and negative numbers including $0$ is called integers. $-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5$
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Question 1621 Mark
Find an integer a such that:$ -8 + a = 0$
Answer
$-8 + a = 0 $
$\Rightarrow a = 0 + 8 $
$\Rightarrow a = 8$
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Question 1661 Mark
Write the following integers in increasing order: $-18, 16, 0, -5, 8, -36, -1, 1$
Answer
We can arrange the given integers in the increasing order in the following manner: $-36, -18, -5, -1, 0, 1, 8, 16$
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Question 1671 Mark
For the following statement write $(T)$ for true and $(F)$ for false: The sum of a negative integer and a positive integer is always a negative integer.
Answer
False.
It can be negative or positive.
For example: $-2 + 3 = 1$ gives a positive integer, but $-5 + 2 = -3$ gives a negative integer.
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Question 1711 Mark
Add: $-\ 206\\ \underline{\ +98\ } \\\underline{\ \ \ \ \ \ \ \ \ \ \ }$
Answer
$-\ 206\\\underline{\ +98}\\ \underline{-\ 108\ }$
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Question 1721 Mark
Find an integer a such that: $a + 6 = 0$
Answer
$a + 6 = 0 $
$\Rightarrow a = 0 - 6 $
$\Rightarrow a = -6$
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Question 1741 Mark
Which number is smaller the following pairs? $-317, -603$
Answer
$-603 < -317$ Since $603$ is greater than $317, -603$ is smaller than $-317.$
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