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Question 11 Mark
There are two dice whose faces have these numbers: -1,2,- 3, 4, – 5, 6. The smallest possible sum upon rolling these dice is – 10 = (- 5) + (- 5) and the largest possible sum is 12 = (6) + (6). Some numbers between (- 10) and (+ 12) are not possible to get by adding numbers on these two dice. Find those numbers.
Answer
The required numbers are – 9, 0, 7, 9 and 11.
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Question 21 Mark
Give three numbers such that their sum is – 8.
Answer
Three numbers whose sum is – 8, are – 2, – 5, -1.
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Question 31 Mark
Leh in Ladakh gets very cold during winter. The following is a table of temperature readings taken during different times of the day/night in Leh on a day in November. Match the temperature with the appropriate time of the day/night.
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Answer
14°C → 02: 00 PM
8°C → 11:00 AM
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Question 151 Mark
Mark the following floors of the building shown on the right.
(a) -7
(b) -4
(c) +3
(d) -10
Answer
Floors -7, -4, +3, and -10 of the building are marked on the line given on previous page.
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Question 221 Mark
Compare the numbers using the building of fun and fill in the boxes with < or >.
0 _______ +4
Answer
Floor 0 is lower than the floor + 4.
So, 0 < + 4
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Question 231 Mark
Compare the numbers using the building of fun and fill in the boxes with < or >.
0 _______ – 4
Answer
Floor 0 is higher than the floor – 4.
So, 0 > – 4
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Question 241 Mark
Compare the numbers using the building of fun and fill in the boxes with < or >.
+6 _______ – 6
Answer
Floor + 6 is higher than the floor – 6.
So, + 6 > – 6
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Question 251 Mark
Compare the numbers using the building of fun and fill in the boxes with < or >.
-5 _______ – 3
Answer
Floor – 5 is lower than the floor – 3.
So, – 5 < – 3
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Question 261 Mark
Compare the numbers using the building of fun and fill in the boxes with < or >.
-5 _______ + 4
Answer
Floor – 5 is lower than the floor + 4.
So, – 5 < + 4
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Question 271 Mark
Compare the numbers using the building of fun and fill in the boxes with < or >.
-2 _______ + 5
Answer
Floor – 2 is lower than the floor + 5.
So, – 2 < + 5
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Question 281 Mark
Evaluate these expression:
(-1) + (+2) + (-3) = __________
Answer
Target floor = (-1) + (+2) + (-3)
= (-4) + (2)
= -2
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Question 291 Mark
Evaluate these expression:
(+4) + (-3) + (-2) = __________
Answer
Target floor = (+4) + (-3) + (-2)
= 4 + (-5)
= -1
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Question 391 Mark
Evaluate the following:
(i) 126 – 314 + 235 – (123)
(ii) (184 – 304) – (84 + 116)
Answer
(i) -76 $\quad$ (ii) -320
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Question 441 Mark
A car travelled 120 km to the north of Patna and then 190 km to the south from there. How far from Patna was the car finally?
Answer
70 km south
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Question 471 Mark
Compare the following by filling the boxes with >, < or = signs.
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Answer
(i) $(-4)+(-8)<(-4)-(-8)$
(ii) $(-18)-(-12)>(-28)+(-14)$
(iii) $40-(-15)>48+(-18)$
(iv) $(-22)-(-30)<(-12)-(-24)$
(v) $(-18)-(-30)=(-28)-(-40)$
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Question 481 Mark
Evaluate the following by using tokens.
(i) -3 + 8
(ii) 8 + (-2)
(iii) 4 – (-2)
(iv) 6 – (-5)
(v) 7 + (-3)
(vi) (-3) – (+5)
Answer
(i) 5
(ii) 6
(iii) 6
(iv) 11
(v) 4
(vi) -8
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Question 501 Mark
Write the predecessor of each of the following:
(i) -376
(ii) -68
(iii) 120
Answer
(i) -377
(ii) -69
(iii) 119
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Question 551 Mark
Write all integers between
(i) -4 and 6
(ii) -3 and 3
Answer
(i) -3, -2, -1, 0, 1, 2, 3, 4, 5
(ii) -2, -1, 0, 1, 2
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