Fundamentals of Mathematics, 2008a

385
3.70370
27)100.00000
81
19 0
18 9
100
81
190
189
When the remainder is identical to the dividend, the division is nonterminating. This implies that
the pattern in the quotient repeats.
100 ÷ 27 = 3.70370370 . . . The repeating block is 703.
100 ÷ 27 = 3.703
Example 6.55
1 ÷ 9
We see that this product, dierencepattern repeats. We can conclude that the division is nonterminating
and that the quotient repeats.
1 ÷ 9 = 0.111 . . . The repeating block is 1.
1 ÷ 9 = 0.1
Example 6.56
Divide 2 by 11 and round to 3 decimal places.
Since we wish to round the quotient to three decimal places, we'll carry out the division so that
the quotient has four decimal places.
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