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Byju's Answer
Standard VI
Mathematics
Patterns
Find the valu...
Question
Find the value of
1111
2
if:
1
2
=
1
11
2
=
121
111
2
=
12321
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Solution
Given
1
2
=
1
11
2
=
121
111
2
=
12321
By observing the given data, it follows a pattern.
Thus the next step or
111
2
=
1234321
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0
Similar questions
Q.
Using the pattern 11
2
= 121 and 111
2
= 12321, we get 1111
2
=
Q.
Look at the following pattern:
1
2
=
1
11
2
=
121
111
2
=
12321
1111
2
=
1234321
11111
2
=
123454321
Make a conjecture about each of the following:
111111
2
=
1111111
2
=
Check if your conjecture is true.
Q.
Mark the correct alternative in each of the following:
5
1
4
-
3
1
3
=
(a)
12
23
(b) 2 (c)
1
11
12
(d)
11
12
Q.
Find the value of
1111
2
.
Q.
Observe the following pattern
2
2
− 1
2
= 2 + 1
3
2
− 2
2
= 3 + 2
4
2
− 3
2
= 4 + 3
5
2
− 4
2
= 5 + 4
and find the value of
(i) 100
2
− 99
2
(ii) 111
2
− 109
2
(iii) 99
2
− 96
2
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