Question

Select the number in which the digit 6 is ten times the value

Answer 1

Answer:

0.164

9.568

Step-by-step explanation:

we have the number

$1.836$

Decompose the number in digit values

we know that

$1.836=1+8(0.10)+3(0.01)+6(0.001)$

$1.836=1+0.80+0.03+0.006$

The value of the digit 6 is 0.006

Ten times the value of the digit 6 is

$10(0.006)=0.06$

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

$0.06=0.06$

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

$0.06=0.06$

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

$0.6 \neq 0.06$

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

$6 \neq 0.06$

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

$6 \neq 0.06$

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

$0.006 \neq 0.06$

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