Question 11 Mark
Find $23 – (–12)$
Answer
View full question & answer→$23 – (–12)$
$= 23 + ($additive inverse of $–12)$
$= 23 + 12 = 35$
$= 23 + ($additive inverse of $–12)$
$= 23 + 12 = 35$
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Question 21 Mark
Find $(–20) – (–13)$
Answer
View full question & answer→$(–20) – (–13)$
$= (–20) + ($additive inverse of $-13)$
$= (–20) + (13) = –7$
$= (–20) + ($additive inverse of $-13)$
$= (–20) + (13) = –7$
Question 31 Mark
Find $35 - (20)$
Answer
View full question & answer→$35- (20)$
$= 35 -20$
$= 15$
Hence, the result is $15.$
$= 35 -20$
$= 15$
Hence, the result is $15.$
Question 41 Mark
Represent the number as an integer with an appropriate sign.
Withdrawal of rupees seven hundred.
Withdrawal of rupees seven hundred.
Answer
View full question & answer→$–700$
Question 51 Mark
Represent the number as an integer with an appropriate sign.
A deposit of rupees two hundred.
A deposit of rupees two hundred.
Answer
View full question & answer→$+200$
Question 61 Mark
Represent the number as an integer with an appropriate sign. A submarine is moving at a depth, eight hundred metre below the sea level.
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 71 Mark
Represent the number as an integer with an appropriate sign.
An aeroplane is flying at a height two thousand metre above the ground.
An aeroplane is flying at a height two thousand metre above the ground.
Answer
View full question & answer→$+2000$
Question 81 Mark
Write opposite of the $100\ m$ above sea level.
Answer
View full question & answer→$100\ m$ below sea level
Question 91 Mark
Write opposite of the Loss of $₹ 700.$
Answer
View full question & answer→Gain of $Rs.700$
Question 101 Mark
Write opposite of the $80 m$ east.
Answer
View full question & answer→The opposite is $80 m$ west
Question 111 Mark
Write opposite of the $30 \ km$ north.
View full question & answer→Question 121 Mark
Write opposite of Increase in weight.
Answer
View full question & answer→Decrease in weight