Respuesta :
The value of the digit in the tens place is 100 times as much as the value of the digit in the thousands place.
Answer:
10 times.
Step-by-step explanation:
Let the value of digit in tenths place be x times of value of digit in thousandths place.
We are asked to find the value of the digit in the tenths place is how many times as much as the value of the digit in the thousandths place.
0.555
Tenths: 5
Thousandths: 5
[tex]\text{Five tenths}=0.5=\frac{5}{10}[/tex]
[tex]\text{Five thousandths}=0.05=\frac{5}{100}[/tex]
[tex]\frac{5}{100}\cdot x=\frac{5}{10}[/tex]
[tex]\frac{100}{5}*\frac{5}{100}\cdot x=\frac{5}{10}*\frac{100}{5}[/tex]
[tex]x=10[/tex]
Therefore, the value of the digit in the tenths place is 10 times as much as the value of the digit in the thousandths place.