Question

say
What happens when we subtract an integer from another integer?
1.3.2 Closur re
difference is also an integer?
Observe the following table and complete it:
Statement
(1) 7+9 = -2
Observation
Result is an integer
Result is an integer
(ii) 17-(-21) =
(ii) (-8)-(-14) = 6
(iv) (-21)-(-10) = _
(v) 32-(-17) =
(vi) (-18) - (-18) =
(vii) (-29) - 0=
What do you observe? Is there any pair of integers whose difference is not an integ
Can we say integers are closed under subtraction? Y​

Answer 1

Answer:

Yes we can say integers are closed under substraction.....

(2) 17 + 21 = 38.

(3) -8 + 14 = +6

(4) -21 +10 = -11.

(5) 32 + 17 = 49

(6) -18 + 18 = 0

(7)-29 - 0 = -29

Here all the results are integers.

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Answer 2

Integer - It is defined as the numbers which are positive,negative or even zero. In integers Whole numbers, Natural Numbers and negative numbers are included.

Step-by-step explanation:

Closure property :

1. a+b = b+a = integers (always )
2. a-b= b-a= integers (always )

Tables solution:

(ii) 17-(-21) =17+21= 38 (positive integer)

Observation

Result is an integer

(ii) (-8)-(-14) = -8+14=6 (positive integer)

Observation

Result is an integer

(iv) (-21)-(-10) = -21+10= -11 (negative integer)

Observation

Result is an integer

(v) 32-(-17) =32+17= 49 (positive integer)

Observation

Result is an integer

(vi) (-18) - (-18) = -18+18= 0 (nor positive nor negative)

Observation

Result is an integer

(vii) (-29) - 0= -29-0 = -29 (negative integer)

Observation

Result is an integer.

1. All pairs are integer beacuse integer can be positive , negative and even zero .
2. Yes, integer are closed under subtraction as all pairs are integers.

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