NCERT solutions for Mathematics [English] Class 6 chapter 6 - Integers [Latest edition]

Write opposites of the following:

Increase in weight

Write opposites of the following:

30 km north

Write opposites of the following:

80 m east

Write opposites of the following:

Loss of Rs 700

Write opposites of the following:

100 m above sea level

Represent the following numbers as integers with appropriate signs.

An aeroplane is flying at the height of two thousand metres above the ground. 

Represent the following numbers as integers with appropriate signs.

A submarine is moving at a depth, of eight hundred metres below sea level.

Represent the following numbers as integers with appropriate signs.

A deposit of rupees two hundred.

Represent the following numbers as integers with appropriate signs.

Withdrawal of rupees seven hundred.

Represent the following numbers on a number line:

+5

Represent the following numbers on a number line:

−10

Represent the following numbers on a number line:

+8

Represent the following numbers on a number line:

−1

Represent the following numbers on a number line:

−6

The adjacent figure is a vertical number line, representing integers. Observe it and locate the following points:

If point D is +8, then which point is –8?

The adjacent figure is a vertical number line, representing integers. Observe it and locate the following points:

Is point G a negative integer or a positive integer?

The adjacent figure is a vertical number line, representing integers. Observe it and locate the following points:

Write integers for points B and E.

The adjacent figure is a vertical number line, representing integers. Observe it and locate the following points:

Which point marked on this number line has the least value?

The adjacent figure is a vertical number line, representing integers. Observe it and locate the following points:

Arrange all the points in decreasing order of value.

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

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

Following is the number line representing the temperature in degrees Celsius. Plot the name of the city against its temperature.

Which is the coolest place?

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

In the following pairs, which number is to the right of the other on the number line?

2, 9

In the following pairs, which number is to the right of the other on the number line?

– 3, – 8

In the following pairs, which number is to the right of the other on the number line?

0, –1

In the following pairs, which number is to the right of the other on the number line?

–11, 10

In the following pairs, which number is to the right of the other on the number line?

–6, 6

In the following pairs, which number is to the right of the other on the number line?

1, –100

Write the integers between the given pairs (write them in increasing order)

0 and –7

Write the integers between the given pairs (write them in increasing order)

–4 and 4

Write the integers between the given pairs (write them in increasing order)

–8 and –15

Write the integers between the given pairs (write them in increasing order)

–30 and –23

Write four negative integers greater than – 20.

Write four integers less than –10.

For the following statement, write True (T) or False (F). If the statement is false, correct the statement.

–8 is to the right of –10 on a number line.

For the following statement, write True (T) or False (F). If the statement is false, correct the statement.

–100 is to the right of – 50 on a number line.

For the following statement, write True (T) or False (F). If the statement is false, correct the statement.

The smallest negative integer is –1.

For the following statement, write True (T) or False (F). If the statement is false, correct the statement.

–26 is greater than –25.

Draw a number line and answer the following:

Which number will we reach if we move 4 numbers to the right of –2?

Draw a number line and answer the following:

Which number will we reach if we move 5 numbers to the left of 1?

Draw a number line and answer the following:

If we are at –8 on the number line, in which direction should we move to reach –13?

Draw a number line and answer the following:

If we are at –6 on the number line, in which direction should we move to reach –1?

Using the number line write the integer which is:

3 more than 5

Using the number line write the integer which is:

5 more than –5

Using the number line write the integer which is:

6 less than 2

Using the number line write the integer which is:

3 less than –2

Use the number line and add the following integers:

9 + (−6)

Use the number line and add the following integers:

5 + (–11)

Use the number line and add the following integers:

(–1) + (–7)

Use the number line and add the following integers:

(–5) + 10

Use the number line and add the following integers:

(−1) + (−2) + (−3)

Use the number line and add the following integers:

(–2) + 8 + (–4)

Add without using a number line:

11 + (–7)

Add without using a number line:

(–13) + (+18)

Add without using a number line:

(–10) + (+19)

Add without using a number line:

(–250) + (+150)

Add without using a number line:

(–380) + (–270)

Add without using a number line:

(–217) + (–100)

Find the sum of:

137 and –354

Find the sum of:

–52 and 52

Find the sum of:

−312, 39 and 192

Find the sum of:

–50, –200 and 300

Find the sum:

(–7) + (–9) + 4 + 16

Find the sum of:

(37) + (–2) + (–65) + (–8)

Find 35 – (20)

Find 72 – (90)

Find (–15) – (–18)

Find (–20) – (13)

Find 23 – (–12)

Find (–32) – (–40)

Fill in the blank with >, < or = sign.

(–3) + (–6) ______ (–3) – (–6)

Fill in the blank with >, < or = sign.

(–21) – (–10) _____ (–31) + (–11)

Fill in the blank with >, < or = sign.

45 – (–11) ______ 57 + (– 4)

Fill in the blank with >, < or = sign.

(–25) – (–42) _____ (–42) – (–25)

(–8) + _____ = 0

13 + _____ = 0

12 + (–12) = ______

(–4) + ______ = –12

______ – 15 = –10

Find (–7) – 8 – (–25)

Find (–13) + 32 – 8 – 1

Find (–7) + (–8) + (–90)

Find 50 – (–40) – (–2)