Usage of Number with Signs

Q.

(a). A place is 37m above sea level and another is 35 m below sea level. The difference in level between two places is ?

(b). The sum of two integers is (-15) and one of them is 8, the other integer is?

Q. Write the numbers in the following examples using the proper signs.
(1) A submarine is at a depth of 512 metres below sea level.
(2) The height of Mt Everest, the highest peak in the Himalayas, is 8848 metres.
(3) A kite is flying at a distance of 120 metres from the ground.
(4) The tunnel is at a depth of 2 metres under the ground.

Q.

Question 2 (d)

Use number line and add the following integers:

(–5) + 10

Q. Represent the statement usage of signs of integers :
A submarine is 400 meters below the sea level.

1. +400 meters
2. -400 meters
3. zero
4. can not represent by integers

Q.

Following is the list of temperatures of five places in India on a particular day of the year.

Place	Temperature
Siachin	10°C below 0°C ……
Shimla	2°C below 0°C ……
Ahmedabad	30°C above 0°C ……
Delhi	20°C above 0°C ……
Srinagar	5°C below 0°C ……

(a) Write the temperatures of these places in the form of integers in the blank column.

(b) Following is the number line representing the temperature in degree Celsius.

Plot the name of the city against its temperature.

(c) Which is the coolest place?

(d) Write the names of the places where temperatures are above 10°C.

Q.

Question 2 (b)

Represent the following numbers as integers with appropriate signs.

A submarine is moving at a depth of eight thousand metres below the sea level.

Q. Represent the statement usage of signs of integers : An aeroplane is flying at the height of 800 meters.

1. +800 metres
2. -800 metres
3. zero
4. Can not represent by integers

Q.

The opposite of ''15 degree above 0 degree'' is ?

Q.

Write all the integers between the given pair (write them in the increasing order):
$–8$ and $–15$

Q.

Question 2 (a)

Represent the following numbers as integers with appropriate signs.

An aeroplane is flying at a height two thousand meters above the ground.

Q.

Which of the following statements is shown by the given number line?

1. 8 + 5 = 13

2. 8 - 5 = 3

3. 8 + 3 = 11

4. 3 - 8 = -5

Q. A submarine is at 700 m below the sea level. This can be represented in integers as ______

1. +700 m
2. -700 m
3. -70-0 m
4. None of the above

Q.

Shelly got 49 marks in maths , 39 marks in English and 51 marks in science.john got 62 marks in maths and 54 in science.what are their total marks?

Q.

Why is withdrawal of money Rs. 700 represented as -700 as we are earning that money it should be +700.

Q. Write the numerical expression which gives the answer 10 and also convert it into a tree diagram.

Q.

If we denote the height of a place above sea level by a positive integer and depth below the sea level by a negative integer, represent the following using integers with the appropriate signs. [3 MARKS]

a. 200m above sea level

b. Sea level

c.100m below sea level

Q. Represent the integer with sign, Shark is swimming 900 m below the sea level.

1. 900 m
2. -900 m
3. zero
4. can not be represent

Q. Naman is on the 5th floor and his parking lot is one floor below the ground floor. How many to floors he has to come to down to reach the parking lot?

1. four floors
2. seven floors
3. five floors
4. six floors

Q.

'Any more doubts anybody?' you asked everybody there. After that, the council concluded that this design was good and they were all so happy after getting the knowledge of negative numbers and integers. They allowed you to leave to Earth. Everybody thanked you. At the time you were leaving, it was 2:00 pm. You asked Shubhlin that where you actually were. Then he assured that you will know shortly. When you came out of the tunnel, it was very chilling. You asked about the temperature to Shubhlin, he told it is 6 degrees below 0.

At this, you told Shubhlin to use integers and tell the temperature once again. This time Shubhlin understood the question and answered correctly. What was the answer given by Shubhlin?

1. None of these

2. -6 degrees

3. +6 degrees

4. ±6 degrees

Q. Ram has ₹1000 in his bank account. After paying his water bill, the amount left in his bank account was ₹700. How much did he pay as water bill?

1. ₹300
2. ₹700
3. ₹1000
4. ₹250

Q. An Eagle is flying 900 m above the ground level. This can be represented in integers as ________

1. -900 m
2. None of the above
3. +900 m
4. 900

Q.

Social Studies Application:Remembering that 1 AD came immediately after 1 BC: while solving following problems take 1 BC as -1 and 1 AD as +1
Turks ruled Egypt in the year 1517 AD and Queen Nefertiti ruled Egypt about 2900 years, before the Turks ruled. In which year did she rule?

1. 2383 BC

2. 1683 BC

3. 1383 BC

4. 1353 BC

Q. Sarita was standing on -3 on a number line and moved 4 units right to reach her school. So, her school is on

1. -1
2. 1
3. 2
4. -2

Q. Paul has already taken credit of ₹ 50, he wants to buy a watch of price ₹ 140. So, he takes credit again from his mother. Which of the following is the total credit amount representation to pay his mother?

1. ₹ -120
2. ₹ 50
3. ₹ 190
4. ₹ -190

Q.

A whale swims 250 feet downwards from the sea level to feed. At what level is it now?

1. 250 feet

2. -250 feet

3. -300 feet

4. Data insufficient

Q.

Indicate the following by using integers:
(i) ${25}^{\circ }$ above zero.
(ii) $5^{\circ }$ below zero
(iii) A profit of $Rs.800$
(iv) A deposit of $Rs.2500$
(v) $3km$ above sea level
(vi) $2km$ below sea level

Q. Ramesh has ₹ 80, want to buy a notebook of ₹ 60 and pen of ₹ 30. How much money will he have to borrow from his mother to buy these items?

1. ₹ 40
2. ₹ 20
3. ₹ 10
4. ₹ 30

Q. Anju has ₹ 150, and want to buy Andhra Pradesh text book of price ₹ 180. How much credit she will have to take to buy the text book?

1. ₹ 40
2. ₹ 20
3. ₹ 30
4. ₹ 10

Q. Indicate the following using '+' or '−' sign:
(i) A gain of Rs 600
(ii) A loss of Rs 800
(iii) 7°C below the freezing point
(iv) Decrease of 9
(v) 2 km above sea level
(vi) 3 km below sea level
(vii) A deposit of Rs 200
(viii) A withdrawal of Rs 300

Q.

Question 61.

If we denote the height of a place above sea level by a positive integer and depth below the sea level by a negative integer, then write the following using integers with the appropirate sign:

(a) 200 m above sea level (b)100 m above sea level

(c)10 m above sea level (d) Sea level