Students can practice Telangana 6th Class Maths Textbook Solutions Chapter 6 Integers Ex 6.4 to get the best methods of solving problems.
TS 6th Class Maths Solutions Chapter 6 Integers Exercise 6.4
Question 1.
Find:
(i) 40 – (22)
Answer:
40 – (22)
= 40 + (additive inverse of 22)
= 40 – 22
= 18
(ii) 84 – (98)
Answer:
= 84 + (additive inverse of 98)
= 84 – 98
= -14
(iii) (- 16) + (- 17)
Answer:
(- 16) + (- 17)
= -16 – 17
= -33
(iv) (- 20) – (13)
Answer:
(- 20) – (13)
= – 20 + (additive inverse of 13)
= -20 -13
= -33
(v) 38 – (- 6)
Answer:
38 – (- 6)
= 38 + (additive inverse of – 6)
= 38 + 6 = 44
(vi) (-17)-(-36)
Answer:
(-17)-(-36)
= -17 + (additive inverse of – 36)
= -17 + 36
= 19
Question 2.
Fill in the blanks with appropriate >, < or = sign.
(i) (-4) +(-5) ………… (-5)-(-4)
(ii) (-16) – (-23) ……….. (-6) + (-12)
(iii) 44 – (-10) ……….. 47 + (-3)
(iv) (-21) + (-22) ………….. (-22) + (-21)
Answer:
i) (-4) +(-5) =-9 and
(- 5) – (- 4) = – 5 + 4 = – 1
We know that – 9 is less than – 1
∴ (- 4) + (- 5) < (- 5) – (- 4) (ii) (- 16) – (- 23) = – 16 + 23 = 7 and (- 6) + (- 12) = – 18 We know that 7 > – 18
∴ (- 16) – (- 23) > (- 6) + (- 12)
(iii) 44 – (- 10) = 44 + 10 = 54 and
47 + (- 3) = 44
We know that 54 > 44
∴ 44 – (- 10) > 47 + (- 3)
(iv) (- 21) + (-22) = -21 – 22 = -43 and
(-22) +(-21) =-22 – 21 =-43
We know that – 43 is equal to – 43
∴ (-21)+ (-22) = (-22)+ (-21)
Question 3.
Fill In the blanks.
(i) (-13) + ……… = 0
(ii) (- 16) + (16) = ……..
(iii) (- 5) + ………… = – 14
(iv) ………… – 16 = – 22
Answer:
(i) (- 13) + (+13) =0 .
(ii) (- 16) + (16) = 0
(iii) (-5) + (-9) = – 14
(iv) (-6) – 16 = -22
Question 4.
Simplify:
(i) (-6)-(5)-(+2)
(ii) (- 12) + 42 – 7 – 2
(iii) (- 3) + (- 6) + (- 24)
(iv) 40 – (- 50) – (2)
Answer:
(i) (- 6) – (+5) – (+ 2)
= – 6 – 5 – 2 = -13
(ii) ( – 12) + 42 – 7 – 2
= (- 12 – 7 – 2) + 42
= -21 + 42 = 21
(iii) (-3) +(-6)+ (-24)
= – 3 – 6 – 24
= – 33
(iv) 40 – (- 50) – (2)
= 40 + 50 – 2
= 90 – 2
= 88