Std 6 th Mathematics- 3. Integers

Question 1:

Classify the following numbers as positive numbers and negative numbers.

–5, +4,  –2, 7, +26,  –49,  –37, 19,  –25, +8, 5,  –4,  –12, 27

Answer 1:

The negative numbers are −5, −2, −49, −37, −25, −4, −12

The positive numbers are +4, 7, +26, 19, +8, 5, 27

Question 2:

Given below are the temperatures in some cities. Write them using the proper signs.

Place	Shimla	Leh	Delhi	Nagpur
Temperature	7°C above 0°	12°C above 0°	22°C above 0°	31°C above 0°

Answer 2:

The temperature of Shimla is −7 °C.

The temperature of Leh is −12 °C.

The temperature of Delhi is +22 °C.

The temperature of Nagpur is +31 °C.

Question 3:

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.

Answer 3:

(1) −512 m

(2) 8848 m

(3) 120 m

(4) −2 m

Question 1:

Add.

(1) 8 + 6

(2) 9 + ( –3)

(3) 5 + ( –6)

(4) –7 + 2

(5) –8 + 0

(6) –5 + ( –2)

Answer 1:

(1) 8 + 6 = 14

(2) 9 + ( –3) = 9 – 3

= 6

(3) 5 + ( –6) = 5 – 6

= –1

(4) –7 + 2 = –5

(5) –8 + 0 = –8

(6) –5 + ( –2) = – 5 – 2

= –7

Question 2:

Complete the table given below.

+	8	4	–3	–5
–2	–2 + 8 = +16
6
0
–4

Answer 2:

+	8	4	–3	–5
–2	–2 + 8 = +6	–2 + 4 = +2	–2 – 3 = –5	–2 – 5 = –7
6	6 + 8 = 14	6 + 4 = 10	6 – 3 = 3	6 – 5 = 1
0	0 + 8 = 8	0 + 4 = 4	0 – 3 = –3	0 – 5 = –5
–4	–4 + 8 = 4	–4 + 4 = 0	–4 – 3 = –7	–4 – 5 = –9

Question 1:

Write the opposite number of each of the numbers given below.

Number	47	+ 52	– 33	– 84	– 21	+ 16	– 26	80
Opposite number

Answer 1:

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Numbers	47	+ 52	– 33	– 84	– 21	+ 16	– 26	80
Opposite numbers	– 47	– 52	+ 33	+ 84	+ 21	–16	+ 26	– 80

Question 1:

Write the proper sings > , < or = in the boxes below.

(1) –4    x   $\boxed{ x }$5	(2) 8    x   $\boxed{ x }$ –10	(3) +9    x   $\boxed{ x }$+9	(4) –6    x   $\boxed{ x }$ 0
(5) 7    x   $\boxed{ x }$ 4	(6) 3    x   $\boxed{ x }$ 0	(7) –7    x   $\boxed{ x }$7	(8) –12    x   $\boxed{ x }$ 5
(9) –2    x   $\boxed{ x }$–8	(10) –1    x   $\boxed{ x }$–2	(11) 6    x   $\boxed{ x }$–3	(12) –14    x   $\boxed{ x }$ –14

Answer 1:

(1)-4 < 5	(2) 8 > –10	(3) +9  = +9	(4) –6 < 0
(5) 7 > 4	(6) 3 > 0	(7) –7 < 7	(8) –12 <  5
(9) –2 > –8	(10) –1 > –2	(11) 6 > –3	(12) –14 =​ –14

Question 1:

Subtract the numbers in the top row from the numbers in the first column and write the proper number in each empty box.

–	6	9	–4	–5	0	+7	–8	–3
3	3 – 6 = –3
8				8 – (– 5) = 13
–3
–2

Answer 1:

–	6	9	–4	–5	0	+7	–8	–3
3	3 – 6 = –3	3 – 9 = –6	3 + 4 = 7	3 + 5 = 8	3 – 0 = 3	3 – 7 = –4	3 + 8 = 11	3 + 3 = 6
8	8 – 6 = 2	8 – 9 = –1	8 + 4 = 12	8 – (– 5) = 13	8 – 0 = 8	8 – 7 = 1	8 + 8 = 16	8 + 3 = 11
–3	–3 – 6 = –9	–3 – 9 = –12	–3 + 4 = 1	–3 + 5 = 2	–3 – 0 = –3	–3 – 7 = –10	–3 + 8 = 5	–3 + 3 = 0
–2	–2 – 6 = –8	–2 – 9 = –11	– 2 + 4 = 2	–2 + 5 = 3	–2 – 0 = –2	–2 – 7 = –9