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Byju's Answer
Standard VIII
Mathematics
Associative Property of Rational Numbers
Name the prop...
Question
Name the property of multiplication of rational numbers illustrated by the following statements:
(i)
-
5
16
×
8
15
=
8
15
×
-
5
16
(ii)
-
17
5
×
9
=
9
×
-
17
5
(iii)
7
4
×
-
8
3
+
-
13
12
=
7
4
×
-
8
3
+
7
4
×
-
13
12
(iv)
-
5
9
×
4
15
×
-
9
8
=
-
5
9
×
4
15
×
-
9
8
(v)
13
-
17
×
1
=
13
-
17
=
1
×
13
-
17
(vi)
-
11
16
×
16
-
11
=
1
(vii)
2
13
×
0
=
0
=
0
×
2
13
(viii)
-
3
2
×
5
4
+
-
3
2
×
-
7
6
=
-
3
2
×
5
4
+
-
7
6
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Solution
(i) Commutative property
(ii) Commutative property
(iii) Distributivity of multiplication over addition
(iv) Associativity of multiplication
(v) Existence of identity for multiplication
(vi) Existence of multiplicative inverse
(vii) Multiplication by 0
(viii) Distributive property
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2
Similar questions
Q.
Simplify:
(i)
-
3
2
+
5
4
-
7
4
(ii)
5
3
-
7
6
+
-
2
3
(iii)
5
4
-
7
6
-
-
2
3
(iv)
-
2
5
-
-
3
10
-
-
4
7
Q.
Name the property of multiplication illustrated by the following statement:
−
11
13
×
−
17
5
=
−
17
5
×
−
11
13
Q.
Name the property of multiplication illustrated by the following statement:
-11/13 × -17/5 = -17/5 × -11/13
Q.
Express each of the following as a rational number of the form
p
q
:
(i)
-
8
3
+
-
1
4
+
-
11
6
+
3
8
-
3
(ii)
6
7
+
1
+
-
7
9
+
19
21
+
-
12
7
(iii)
15
2
+
9
8
+
-
11
3
+
6
+
-
7
6
(iv)
-
7
4
+
0
+
-
9
5
+
19
10
+
11
14
(v)
-
7
4
+
5
3
+
-
1
2
+
-
5
6
+
2
Q.
Simplify:
(i)
-
3
2
+
5
4
-
7
4
(ii)
5
3
-
7
6
+
-
2
3
(iii)
5
4
-
7
6
-
-
2
3
(iv)
-
2
5
-
-
3
10
-
-
4
7
(v)
5
6
+
-
2
5
-
-
2
15
(vi)
3
8
-
-
2
9
+
-
5
36
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