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Young25
@Young25
August 2022
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Запишите периодическую дробь в виде обыкновенной:
А)1,0(1) б)1,5(4) в)8,7(5) г)-3,(31) д)2,2(02) е)0,(123)
Например: 0,3
x=0,3
10x=3,3
9x=3
x=3\9=1\3
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Answers & Comments
Antipodd
А)1,0(1)
100x= 101
x= 101/100
б)1,5(4)
100x = 154
x=154/100 = 77/50
в)8,7(5)
100x= 875
x=875/100=35/4
г)-3,(31)
100x=-331
x=-331/100
д)2,2(02)
1000x=2202
x=2202/1000=1101/500
е)0,(123)
1000x=123
x=123/1000
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Young25
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Answers & Comments
100x= 101
x= 101/100
б)1,5(4)
100x = 154
x=154/100 = 77/50
в)8,7(5)
100x= 875
x=875/100=35/4
г)-3,(31)
100x=-331
x=-331/100
д)2,2(02)
1000x=2202
x=2202/1000=1101/500
е)0,(123)
1000x=123
x=123/1000