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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) × (72) + (-36) × 28
Answer
(-36) × (72) + (-36) × 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) × (-63) × 9
Answer
(-8) × (-63) × 9
= (-8) × (-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 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 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 691 Mark
Fill in the blank.
(-8) + (-6) - (-3) = ______.
Answer
(-8) + (-6) - (-3) = -11.Solution:
(-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) × (-47) × (-19)
Answer
(-51) × (-47) × (-19)
= (-51) × 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 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) = 15Solution:
Let the required number be x -23 - x = 15 ⇒ -23 = 15 + x ⇒ 15 + x = -23 ⇒ x = -15 - 23 ⇒ 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 1261 Mark
Fill in the blank.
The largest negative integer is _______.
Answer
The largest negative integer is -1.Solution:
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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 1411 Mark
Use convenient groupings and find the values of:
(-17) × (-23) × 41
Answer
(-17) × (-23) × 41
= (-17) × (-943)
= 16031
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Question 1461 Mark
Use convenient groupings and find the values of:
18 × (-27) × 30
Answer
18 × (-27) × 30
= 18 × (-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 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 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 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.Solution:
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 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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