Question

Frank reasoned that in the number 0.555, the value of the 5 in the thousands place is ten times as great as the 5 in the hundredth place is he correct explain

Answer 1

Answer:

Frank is incorrect.    

Step-by-step explanation:

Given : Frank reasoned that in the number 0.555, the value of the 5 in the thousands place is ten times as great as the 5 in the hundredth place.

To find : Is he correct explain ?

Solution :

Ones    Tenths     Hundredths     Thousandths

 0           5                     5                      5

The expanded form is   $0\times 1+5\times \frac{1}{10}+5\times \frac{1}{100}+5\times \frac{1}{1000}$

The value of the 5 in the thousandths place is $\frac{1}{10}$ times as great as the 5 in the hundredth place.

Therefore, Frank is incorrect.                      

Answer 2

The given number is 0.555 which can be written as

$0+ \frac{1}{10}*5 + \frac{1}{100}* 5+ \frac{1}{1000} * 5$

As we see that after decimal, every next digit is 1/10 times of the current digit .

Therefore the statement , " the value of the 5 in the thousands place is ten times as great as the 5 in the hundredth place " is not correct .