Question 12 Marks
Find $(–7) + (–8) + (–90)$
Answer
View full question & answer→$(–7) + (–8) + (–90)$
$= (–15) + (–90)$
$= –105$
$= (–15) + (–90)$
$= –105$
Questions
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Question 22 Marks
Find $(–32) – (–40)$
Answer
View full question & answer→$(–32) – (–40)$
$= (–32) + ($additive inverse of $–40)$
$= (–32) + (+40)$
$= (–32) + (+32) + (+8)$
$= 0 + (+8) = 8.$
$= (–32) + ($additive inverse of $–40)$
$= (–32) + (+40)$
$= (–32) + (+32) + (+8)$
$= 0 + (+8) = 8.$
Question 32 Marks
Find $(–15) – (–18)$
Answer
View full question & answer→$(–15) – (–18)$
$= (–15) + ($additive inverse of $–18)$
$= (–15) + (18)$
$= (–15) + (15) + (3)$
$= 0 + (3) = 3$
$= (–15) + ($additive inverse of $–18)$
$= (–15) + (18)$
$= (–15) + (15) + (3)$
$= 0 + (3) = 3$
Question 42 Marks
Find $72 – 90$
Answer
View full question & answer→$72 – 90$
$= 72 + ($additive inverse of $90)$
$= 72 + (–90)$
$= 72 + (–72) + (–18)$
$= 0 + (–18) = –18$
$= 72 + ($additive inverse of $90)$
$= 72 + (–90)$
$= 72 + (–72) + (–18)$
$= 0 + (–18) = –18$
Question 52 Marks
Find the sum of $:137$ and $–354$
Answer
View full question & answer→$137 + (–354)$
$= 137 + (–137) + (–217)$
$= 0 + (–217) = –217$
$= 137 + (–137) + (–217)$
$= 0 + (–217) = –217$
Question 62 Marks
Write four integers less than $– 10.$
Answer
View full question & answer→Four negative integers less than $-10$ are as follows:
$-12, -13, -14, -15$
$-12, -13, -14, -15$
Question 72 Marks
Write four negative integers greater than $–20.$
Answer
View full question & answer→Four negative integers greater than $–20$ are $–19, –18, –17$ and $–16$
Question 82 Marks
Write all the integers between $–30$ and $–23.$ (Write them in the increasing order.)
Answer
View full question & answer→The integers between $–30$ and $–23$ in increasing order are $–29, –28, –27, –26, –25$ and $–24.$
Question 92 Marks
Write all the integers between $-8$ and $-15. ($Write them in the increasing order$.)$
Answer
View full question & answer→The integers between $–8$ and $–15$ in increasing order are $–14, –13, –12, –11, –10$ and $–9.$
Question 102 Marks
Write all the integers between $-4$ and $4.$ (Write them in the increasing order.)
Answer
View full question & answer→The integers between $–4$ and $4$ in increasing order are $–3, –2, –1, 0, 1, 2$ and $3.$
Question 112 Marks
Write all the integers between $0$ and $-7. ($Write them in the increasing order$.)$
Answer
View full question & answer→Clearly,
$– 8 – (– 10) = – 8 + 10$ as additive inverse of $–10$ is $10.$
On the number line, from $– 8$ we will move $10$ steps towards right,
And we reach at $2.$ Thus, $–8 – (–10) = 2$
Hence, to subtract an integer from another integer it is equivalent to adding the additive inverse of the integer that is being subtracted, to the other integer.
$– 8 – (– 10) = – 8 + 10$ as additive inverse of $–10$ is $10.$
On the number line, from $– 8$ we will move $10$ steps towards right,
And we reach at $2.$ Thus, $–8 – (–10) = 2$
Hence, to subtract an integer from another integer it is equivalent to adding the additive inverse of the integer that is being subtracted, to the other integer.
Question 122 Marks
In the pair $1, -100,$ which number is to the right of the other on the number line$?$
Answer
View full question & answer→The number $1$ is to the right of the number $–100.$
Question 132 Marks
In the pair $-6, 6,$ which number is to the right of the other on the number line$?$
Answer
View full question & answer→The number $6$ is to the right of the number $–6.$
Question 142 Marks
In the pair $-11, 10,$ which number is to the right of the other on the number line$?$
Answer
View full question & answer→The number $10$ is to the right of the number $–11.$
Question 152 Marks
In the pair $0, -1,$ which number is to the right of the other on the number line$?$
Answer
View full question & answer→The number $0$ is to the right of the number $–1.$
Question 162 Marks
In the pair $-3, -8,$ which number is to the right of the other on the number line$?$
View full question & answer→Question 172 Marks
In the pair $2, 9,$ which number is to the right of the other on the number line$?$
Answer
View full question & answer→The number $9$ is to the right of the number $2.$
Question 182 Marks
Subtract $(+ 3)$ from $(– 3)$
Answer
View full question & answer→The required result is:
$(– 3) – (+ 3) = (– 3) + (– 3) = – 6$
$(– 3) – (+ 3) = (– 3) + (– 3) = – 6$
Question 192 Marks
Subtract $(– 4)$ from $(– 10)$
Answer
View full question & answer→Here we have
$(– 10) – (– 4) = –10 + 4 = – 6$
$(– 10) – (– 4) = –10 + 4 = – 6$
Question 202 Marks
Find the value of $(30) + (– 23) + (– 63) + (+ 55)$
Answer
View full question & answer→We can arrange the terms as
$(30) + (+ 55) + (– 23) + (– 63) = 85 + (– 86) = – 1$
$(30) + (+ 55) + (– 23) + (– 63) = 85 + (– 86) = – 1$
Question 212 Marks
Which number will we reach if we move $4$ steps to the right of $– 6.$
Answer
View full question & answer→We will reach $– 2$ when we move $4$ steps to the right of $– 6.$
Question 222 Marks
One button is kept at $– 3.$ In which direction and how many steps should we move to reach at $– 9?$
Answer
View full question & answer→We have to move six steps to the left(negative direction of $x-$axis) of $– 3$