Understand Decimal Place Value Relationships - 5th Grade Math

$0.8$. Multiplying by $10$ moves decimal one place right.

$0.3$. The digit $3$ is in the tenths place.

$0.005$. The digit $5$ is in the thousandths place.

In $0.41$, $0.01$ is $10$ times $0.001$ in $0.401$. Hundredths place value is $10$ times thousandths place value.

In $0.6$ (it is $10$ times the value in $0.06$). Tenths place is $10$ times hundredths place.

$3{,}000$. Move $3$ one place left from hundreds to thousands.

$7{,}000$. The digit $7$ is in the thousands place.

$700$. The digit $7$ is in the hundreds place.

$0.07$. The digit $7$ is in the hundredths place.

$4{,}000$. The digit $4$ is in the thousands place.

$400$. The digit $4$ is in the hundreds place.

$40$. The digit $4$ is in the tens place.

$0.004$. The digit $4$ is in the thousandths place.

Each place to the left is $10$ times the value to its right. Moving left multiplies place value by $10$.

Each place to the right is $rac{1}{10}$ of the value to its left. Moving right divides place value by $10$.

In $6{,}000$ (it is $10$ times the value in $600$). Thousands place is $10$ times hundreds place.

$6$. The 6 is in the ones place, so its value is 6 × 1.

$0.4$. The 4 is in the tenths place, so its value is 4 × 0.1.

$0.08$. The 8 is in the hundredths place, so its value is 8 × 0.01.