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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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