Class 6 > Olympiad Test : Integers - 1

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Detailed Solution for Olympiad Test : Integers - 1 - Question 1

An additive inverse of a number is defined as **the value, which on adding with the original number results in zero value**.

Let the additive inverse of −7 be x.

⇒−7+x=0

∴ x=7

Hence the additive inverse of −7 is 7

Detailed Solution for Olympiad Test : Integers - 1 - Question 2

– 6 – 2 = –8

Olympiad Test : Integers - 1 - Question 3

The sum of two integers is –17. If one of them is 12 then the other is

Detailed Solution for Olympiad Test : Integers - 1 - Question 3

If x is other number, then 12 + x = –17 x = –17–12 = – 29

Olympiad Test : Integers - 1 - Question 4

The sum of two integers is 23. If one of them is –7 then the other is

Detailed Solution for Olympiad Test : Integers - 1 - Question 4

x +(–7) = 23

⇒ x = 23 + 7 = 30

Detailed Solution for Olympiad Test : Integers - 1 - Question 5

-7 + 4 = -3

Detailed Solution for Olympiad Test : Integers - 1 - Question 6

? = 9(-16) + (-12)(-16)

= –144 +192 = 48

Detailed Solution for Olympiad Test : Integers - 1 - Question 7

? = (–12)7 + (–12) (– 4)

= –84 + 48 = – 36

Olympiad Test : Integers - 1 - Question 8

The sum of two integers is 65. If one of them is –47 what is the other number?

Detailed Solution for Olympiad Test : Integers - 1 - Question 8

– 47 + x = 65

⇒ x = 65 + 47 = 112

Olympiad Test : Integers - 1 - Question 9

The difference of two integers is –27. If one of them is 32 then what is the other?

Detailed Solution for Olympiad Test : Integers - 1 - Question 9

32 - x = -27

⇒ x = 32 + 27 = 59

Olympiad Test : Integers - 1 - Question 10

From the sum of 33 and –47, –84 is subtracted. What is the result?

Detailed Solution for Olympiad Test : Integers - 1 - Question 10

Required result = [33+(–47)] –(–84)

= –14 + 84 = 70

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