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Byju's Answer
Standard IV
Mathematics
Distributive Property of Multiplication over Addition
Match the fol...
Question
Match the following products with their respective values.
A
100
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B
45
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C
147
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Solution
∙
4
×
25
can be written as
4
×
(
20
+
5
)
. This multiplication can be solved using box method as:
20
5
4
20
×
4
=
10
×
2
×
4
=
10
×
8
=
80
5
×
4
=
20
Hence,
4
×
25
=
4
×
(
20
+
5
)
=
80
+
20
=
100
∙
3
×
15
can be written as
3
×
(
10
+
5
)
. This multiplication can be solved using box method as:
10
5
3
10
×
3
=
30
5
×
3
=
15
Hence,
3
×
15
=
3
×
(
10
+
5
)
=
30
+
15
=
45
∙
7
×
21
can be written as
7
×
(
20
+
1
)
. This multiplication can be solved using box method as:
20
1
7
20
×
7
=
10
×
2
×
7
=
10
×
14
=
140
1
×
7
=
7
Hence,
7
×
21
=
7
×
(
20
+
1
)
=
140
+
7
=
147
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Distributive Property of Multiplication over Addition
Standard IV Mathematics
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