Question

I WILL GIVE YOU A BRILLIANT

Place Value Relationships
Eloise counted the amount of money she has left, in dollars. She found that she has $888.88. Eloise started thinking about the place values in 888.88 and made the four statements below. Decide whether each is true or false

Answer 1

Statement 1 and 2 are true.

Solution:

Amount of money left in Eloise = $888.88

The place value chart is attached below.

Statement 1:

The digit in the hundredths place value has a value that is
`(1)/(100)` of the value of the digit in the ones place.

Value of digit in the hundredths place value =
`(8)/(100)`

Value of digit in the ones place = 8

`(1)/(100)` of the value of the digit in the ones place =
`(8)/(100)`

Hence the given statement is true.

Statement 2:

The digit in the hundredths place has a value that is 100 times the value of the digit in the tenths place.

Value of digit in the hundredths place value =
`(8)/(100)`

Value of digit in the tenths place value =
`(8)/(10)`

100 times the value of the digit in the tenths place =
`100* (8)/(10)= 80`

Hence the given statement is false.

Statement 3:

The digit in the hundreds place has a value that is 10 times the value of the digit in the tens place.

Value of digit in the hundreds place value = 800

Value of digit in the tens place value = 80

10 times the value of the digit in the tens place = 10 × 80 = 800

Hence the given statement is true.

Therefore statement 1 and 2 are true.