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Write rational numbers and tell if it is repeating or terminating
Write rational numbers and tell if it is repeating or terminating
Mixed number as a decimal
Mixed number as a decimal
Essential question
100
3/5
0.6 Terminating
100
9/25
0.36 Terminating
100
11 1/6
11.166...
100
3 1/18
3.0555...
200
89/100
0.89 terminating
200
1/25
0.04 Terminating
200
2 9/10
2.9
200
Maggie bought 3 2/3 lb of apples to make some apple pies. What is the weight of the apples written as a decimal?
3.666...
300
4/12
0.333... Repeating
300
25/176
0.14204545... Repeating
300
8 23/100
8.23
300
Harry's dog weigh 12 7/8 pounds. What is the weight of harry's dog written as a decimal?
12.875
400
25/99
0.2525... Repeating
400
12/1,000
0.012 Terminating
400
7 3/15
7.2
500
7/9
0.7777... Repeating
500
1200/1300
.923076923 terminating
500
54 3/11
54.2727...
500
Tom is trying to write 3/47 as a decimal. he used long division and divided until he got the quotient 0.0638297872, at which point he stopped. Since the decimal doesn't seem to terminate or repeat, he concluded that 3/47 is not rational. Do you agree or disagree? Why?
Disagree; the definition of a rational number is a number that can be written as a ratio of two integers with a denominator not equal to zero, which describes 3/47. Tom would need to keep dividing to find a repeating pattern or have the decimal terminate.