Question

Convert the following rational numbers into decimals and state the kind of decimal expansion .1) 42/100 2) 8 2/ 7 3) 13/55 4) 459/500 5)1/11 6) _3/9 7) 19/3 8) _7/32

Answer 1

1) 42/100=0.42 (terminating)
2) 82/7=11.7142.... (non-terminating non-recurring)
3) 13/55=0.2363.... (non-terminating non-recurring)
4) 459/500=0.918 (terminating)
5) 1/11=0.09... (non-terminating recurring)
6) 3/9=0.3.. (non-terminating recurring)
7) 19/3=6.3.. (non-terminating recurring)
8) 7/32=0.21875 (terminating)

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Answer 2

1-0.42 terminal decimal rational number
,2-11.71 non terminal decimal irrational number
,3-0.34545 repeating terminal rational number
,4-0.918 terminal decimal rational number
,5-0.09 repeating rational decimal number
,6-0.33 repeating decimal rational number
,7-6.33 repeating decimal rational number
,8-0.218 non repeating irrational number