Answer:
a) 416/100 = 4.16
b) 46/10 = 4.6
c) 406/100 = 4.06
Step-by-step explanation:
a) 4 + 16/100 = 4(100/100) +16/100 = (400 +16)/100 = 416/100 = 104/25
4 + 16/100 = 4 +0.16 = 4.16
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b) 4 + 6/10 = 4(10/10) +6/10 = (40 +6)/10 = 46/10 = 23/5
4 +6/10 = 4 +0.6 = 4.6
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c) 4 +6/100 = 4(100/100) +6/100 = (400 +6)/100 = 406/100 = 203/50
4 +6/100 = 4 +0.06 = 4.06
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<em>Comment on place value</em>
Since you're familiar with the decimal place-value number system, you know that digits in the ones place are multiplied by 1; digits in the tenths place are multiplied by 1/10 or 0.1; and digits in the hundredths place are multiplied by 1/100 or 0.01. These same multipliers can be represented as powers of 10: 10^0, 10^-1, 10^-2, respectively.
