Every rational number can be expressed as a fraction
If the remainder were 0 it would be a terminating decimal. So it it not one of them. Any rational fraction MUST be have a decimal representation that is either terminating or recurring. So it is a recurring decimal.If you carry on with the division, you may find that the remainder changes but it will return to an earlier value. The part of the "quotient" from where you first got the remainder to where you got it again is the string of repeating digits. It will always be less than the denominator of the fraction.So, for example,2/3 = 0.66.... has a repeating string of length 1 but2/7 = 0.285714 285714 .... has a repeating string of length 6 = 7-1.2/13 = 0.153846 153846 ... also has a repeating string of length 6.
a terminating decimal. got this from chacha.
Terminating decimal
33.3 REPEATING 3 %
Yes. All rational numbers can be changed into fraction form, while all numbers that can't are irrational.
Multiplying by ten to the power k moves the decimal point k places to the right. If the repeating sequence comprises n digits and you multiply by 10n then the decimal point is moved n places to the right and the positions of the repeating sequence relative to the decimal point is not changed. This allows you to subtract the one repeating decimal expression from the other and get a terminating decimal which can then be used as the numerator of the ratio.
If the remainder were 0 it would be a terminating decimal. So it it not one of them. Any rational fraction MUST be have a decimal representation that is either terminating or recurring. So it is a recurring decimal.If you carry on with the division, you may find that the remainder changes but it will return to an earlier value. The part of the "quotient" from where you first got the remainder to where you got it again is the string of repeating digits. It will always be less than the denominator of the fraction.So, for example,2/3 = 0.66.... has a repeating string of length 1 but2/7 = 0.285714 285714 .... has a repeating string of length 6 = 7-1.2/13 = 0.153846 153846 ... also has a repeating string of length 6.
If the remainder were 0 it would be a terminating decimal. So it it not one of them. Any rational fraction MUST be have a decimal representation that is either terminating or recurring. So it is a recurring decimal.If you carry on with the division, you may find that the remainder changes but it will return to an earlier value. The part of the "quotient" from where you first got the remainder to where you got it again is the string of repeating digits. It will always be less than the denominator of the fraction.So, for example,2/3 = 0.66.... has a repeating string of length 1 but2/7 = 0.285714 285714 .... has a repeating string of length 6 = 7-1.2/13 = 0.153846 153846 ... also has a repeating string of length 6.
If the remainder were 0 it would be a terminating decimal. So it it not one of them. Any rational fraction MUST be have a decimal representation that is either terminating or recurring. So it is a recurring decimal.If you carry on with the division, you may find that the remainder changes but it will return to an earlier value. The part of the "quotient" from where you first got the remainder to where you got it again is the string of repeating digits. It will always be less than the denominator of the fraction.So, for example,2/3 = 0.66.... has a repeating string of length 1 but2/7 = 0.285714 285714 .... has a repeating string of length 6 = 7-1.2/13 = 0.153846 153846 ... also has a repeating string of length 6.
It is a terminating decimal
What do you think Juno changed her mind about terminating the pregnancy?
8/45
a terminating decimal. got this from chacha.
yes
a repeating decimal
Terminating decimal
33.3 REPEATING 3 %