Answer :
Answer:
0.164
9.568
Step-by-step explanation:
we have the number
[tex]1.836[/tex]
Decompose the number in digit values
we know that
[tex]1.836=1+8(0.10)+3(0.01)+6(0.001)[/tex]
[tex]1.836=1+0.80+0.03+0.006[/tex]
The value of the digit 6 is 0.006
Ten times the value of the digit 6 is
[tex]10(0.006)=0.06[/tex]
Verify each case
case 1) we have
0.164
The value of the digit 6 is 0.06
Compare with the value of ten times the value of the digit 6 in 1.836
[tex]0.06=0.06[/tex]
therefore
The value of the digit 6 in this number is equal to ten times the value
of the digit 6 in 1.836
case 2) we have
9.568
The value of the digit 6 is 0.06
Compare with the value of ten times the value of the digit 6 in 1.836
[tex]0.06=0.06[/tex]
therefore
The value of the digit 6 in this number is equal to ten times the value
of the digit 6 in 1.836
case 3) we have
3.658
The value of the digit 6 is 0.6
Compare with the value of ten times the value of the digit 6 in 1.836
[tex]0.6 \neq 0.06[/tex]
therefore
The value of the digit 6 in this number is not equal to ten times the value
of the digit 6 in 1.836
case 4) we have
186.9
The value of the digit 6 is 6
Compare with the value of ten times the value of the digit 6 in 1.836
[tex]6 \neq 0.06[/tex]
therefore
The value of the digit 6 in this number is not equal to ten times the value
of the digit 6 in 1.836
case 5) we have
56.82
The value of the digit 6 is 6
Compare with the value of ten times the value of the digit 6 in 1.836
[tex]6 \neq 0.06[/tex]
therefore
The value of the digit 6 in this number is not equal to ten times the value
of the digit 6 in 1.836
case 6) we have
1.836
The value of the digit 6 is 0.006
Compare with the value of ten times the value of the digit 6 in 1.836
[tex]0.006 \neq 0.06[/tex]
therefore
The value of the digit 6 in this number is not equal to ten times the value
of the digit 6 in 1.836