Q. Convert the fraction below into a decimal92Edit the repeating and non-repeating part of the decimal:0.□□
Set Up Long Division: We start by setting up the long division of 2 divided by 9. Since 2 is less than 9, we add a decimal point to the quotient and add a zero to the dividend, making it 20.
Divide 20 by 9: Now we divide 20 by 9. 9 goes into 20 twice (2 times 9 is 18), so we write 2 in the quotient above the zero in the dividend.
Find Remainder: Subtract 18 from 20 to find the remainder. 20−18 equals 2.
Add Another Zero: Since we have a remainder, we add another zero to the remainder and bring it down. Now we have 20 again.
Repeat Division Process: We repeat the division process. Again, 9 goes into 20 twice, so we write another 2 in the quotient after the decimal point.
Find Remainder Again: We subtract 18 from 20 again and find the remainder to be 2, just like before.
Conclude Decimal Form: This process will continue indefinitely because the remainder is repeating. We can conclude that the decimal form of 92 is 0.222…, with the digit 2 repeating.
Edit Decimal Parts: Edit the repeating and non-repeating part of the decimal: The non-repeating part is 0, and the repeating part is \.222\ldots
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