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

Frank is incorrect.

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* 1+5* (1)/(10)+5* (1)/(100)+5* (1)/(1000)`

The value of the 5 in the thousandths place is
`(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+ (1)/(10)*5 + (1)/(100)* 5+ (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 .