Question

Represent following numbers as integers with appropriate signs.
(a) An aeroplane is moving at a height two thousand meters above the ground.
(b) A submarine is moving at a depth eight thousand meters below sea level.
(c) A deposit of rupees two hundred.
(d) withdrawal of rupees seven hundred.

Answer 1

Hint: In this problem we need to represent the given numbers as integers along with appropriate signs that means we need to represent that the integer is a negative or positive value. For this we will consider the reference for each case and compare it with the given data, then we will get whether the integer is positive or negative after that we can place a positive sign which is $+$ before the integer or a negative sign which is $-$ before the integer.

Complete step by step answer:
(a)
The statement is that an aeroplane is moving at a height two thousand meters above the ground.
In this statement ground level is the reference and they have mentioned that the plane is moving above the ground, that means it is higher than the ground level, so we will place a positive sign before the integer. In the statement we can observe the term two thousand, so the integer will be $2000$. Now the integer along with the sign is given by
$+2000$.

(b)
Given statement is that a submarine is moving at a depth eight thousand meters below sea level.
In this case sea level is the reference level and they have mentioned that the submarine is moving below the sea level, that means it is lower than the sea level, so we will place a negative sign before the integer. In the statement we can observe the term eight thousand, so the integer will be $8000$. Now the integer along with the sign is given by
$-8000$.

(c)
Given statement is a deposit of rupees two hundred.
In this case the previous bank balance is the reference. When we deposit some amount into the amount then the balance of the account will be increased. So, we will place a positive sign before the integer. In the statement we can observe that the term two hundred, so the integer will be $200$. Now the integer along with the sign is given by
$+200$.

(d)
Given statement is a withdrawal of rupees seven hundred.
In this case also the previous bank balance is the reference. When we withdraw the money from our bank account it will be reduced or decreased. So, we will place a negative sign before the integer. In the statement we can observe the term seven hundred, so the integer will be $700$. Now the integer along with the sign is given by
$-700$.

Note: The statements like “Increased percentage in marks”, “Completed before one hour” are also represented in the above format by using the above discussed method. It will be helpful to compare certain things in real life situations.