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1. Real Numbers
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Q2 of 104 Page 1

Write down the decimal expansions of the following numbers which have terminating decimal expansions.

We know, =


Multiplying and dividing by 26


=


=


=


=


=


= 0.0448


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2

Write down the decimal expansions of the following numbers which have terminating decimal expansions.

2

Write down the decimal expansions of the following numbers which have terminating decimal expansions.

2

Write down the decimal expansions of the following numbers which have terminating decimal expansions.

3

The following real numbers have decimal expansions as given below. In each case examine whether they are rational or not. If they are a rational number of the form p/q, what can be said about q?

(i) 7.2345


(ii)


(iii) 23.245789


(iv)


(v) 0.120120012000120000…


(vi) 23.142857


(vii) 2.313313313331…


(viii) 0.02002000220002…


(ix) 3.300030000300003…


(x) 1.7320508…


(xi) 2.645713


(xii) 2.8284271…

Questions · 104
1. Real Numbers
1 1 1 1 1 1 1 1 2 3 4 5 6 1 1 1 1 1 1 1 2 3 4 5 5 5 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 13 14 15 1 2 3 4 4 4 5 5 5 5 5 5 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3
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