Which of the following operations on integers satisfy the commutative property? a - adiition , multiplication b - subtraction ,mutiplication c-adiition ,subtraction
Answers
Answer:
ANSWER
(i)Addition
4+
5
2
=
5
20+2
=
5
22
5
2
+4=
5
2+20
=
5
22
Commutative property is satisfied.
Subtraction
4−
5
2
=
5
20−2
=
5
18
5
2
−4=
5
2−20
=
5
−18
Commutative property is not satisfied.
Multiplication
5
2
×4=
5
8
4×
5
2
=
5
8
Commutative property is satisfied.
Division
4÷
5
2
=4×
2
5
=
2
20
5
2
÷4=
5
2
×
4
1
=
20
2
Commutative property is not satisfied.
(ii)Addition
7
−3
+(
7
−2
)=
7
−3−2
=
7
−5
7
−2
+(
7
−3
)=
7
−2−3
=
7
−5
Commutative property is satisfied.
Subtraction
7
−3
−(
7
−2
)=
7
−3+2
=
7
−1
7
−2
−(
7
−3
)=
7
−2+3
=
7
1
Commutative property is not satisfied.
Multiplication
7
−2
×
7
−3
=
7
6
7
−3
×
7
−2
=
7
6
Commutative property is satisfied.
Division
7
−3
÷
7
−2
=
7
−3
×
−2
7
=
2
3
7
−2
÷
7
−3
=
7
−2
×
−3
7
=
3
2
Commutative property is not satisfied.
Answer:
addition multiplication
Step-by-step explanation:
The commutative property of addition and multiplication states that the order of terms doesn’t matter, the result will be the same. Whether it is addition or multiplication, swapping of terms will not change the sum or product. Suppose, x and y are any two integers, then
⇒ x + y = y + x
⇒ x × y = y × x
Example : 4 + (−6) = −2 = (−6) + 4;
10 × (−3) = −30 = (−3) × 10
But, subtraction (x − y ≠ y − x) and division (x ÷ y ≠ y ÷ x) are not commutative for integers and whole numbers.
Example : 4 − (−6) = 10 ; (−6) – 4 = −10
⇒ 4 − (−6) ≠ (−6) – 4
Hope it helps.
Ex: 10 ÷ 2 = 5 ; 2 ÷ 10 = 1/5
⇒ 10 ÷ 2 ≠ 2 ÷ 10