what is the hudred digit of decimal z? a) the tenth digit of 100z is 2 b) the unit
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Let's say \(z=a.bcd\). The hundredths digit of z would be the value of \(c\). So the question is \(c=?\)
(1) The tenths digit is 100z is 2 --> \(100z=100*a.bcd=abc.d\) --> the tenths digit of \(100z\) is the value of \(d\). So \(d=2\). Not sufficient to calculate \(c\).
(2) The units digit of 1,000z is 2 --> \(1000z=1000*a.bcd=abcd\) --> the units digit of \(1000z\) is the value of \(d\). So \(d=2\). Not sufficient to calculate \(c\).
(1)+(2) No new info, only the value of \(d\) is known. Not sufficient.
Answer: E.
Note: 1234.567
1 - THOUSANDS
2 - HUNDREDS
3 - TENS
4 - UNITS
. - decimal point
5 - TENTHS
6 - HUNDREDTHS
7 - THOUSANDTHS
_________________
(1) The tenths digit is 100z is 2 --> \(100z=100*a.bcd=abc.d\) --> the tenths digit of \(100z\) is the value of \(d\). So \(d=2\). Not sufficient to calculate \(c\).
(2) The units digit of 1,000z is 2 --> \(1000z=1000*a.bcd=abcd\) --> the units digit of \(1000z\) is the value of \(d\). So \(d=2\). Not sufficient to calculate \(c\).
(1)+(2) No new info, only the value of \(d\) is known. Not sufficient.
Answer: E.
Note: 1234.567
1 - THOUSANDS
2 - HUNDREDS
3 - TENS
4 - UNITS
. - decimal point
5 - TENTHS
6 - HUNDREDTHS
7 - THOUSANDTHS
_________________
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