Decimal place transfer — lesson. Mathematics CBSE, Class 7.

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When a decimal part is multiplied by $10, 100, 1000$, etc.,

it is enough to move the point by $1, 2, 3$, etc., digits to the right

(\to)

respectively.

When a decimal part is divided by $10, 100, 1000,$ etc.,

it is enough to move the point by $1, 2, 3$, etc. digits to the left

(\leftarrow)

respectively.

Multiplication

$19.23$ $\times$ $10 = 192.3$	The point moves $1$ digit to the right
$19.234$ $\times$ $100 = 1923.4$	The point moves $2$ digit to the right
$19.345$ $\times$ $1000 = 19234.5$	The point moves $3$ digit to the right

Dividing

$99.2345 : 10=9.92345$	The point moves $1$ digit to the left.
$99.2345 : 100=0.992345$	The point moves $2$ digits to the left.
$99.2345 : 1000=0.0992345$	The point moves $3$ digits to the left.
$99.2345 : 10000=0.00992345$	The point moves $4$ digits to the left.

"If necessary, many zeros may be added or dropped before or after the decimal as they do not change the value."

Example:

$0.2 : 100 = 000.2 : 100 = 0.002$

$0.2$

\times

$1000 = 0.200$

\times

$1000 = 200$

Did you find an error?

\(19.23\) $\times$ \(10 = 192.3\)	The point moves \(1\) digit to the right
\(19.234\) $\times$ \(100 = 1923.4\)	The point moves \(2\) digit to the right
\(19.345\) $\times$ \(1000 = 19234.5\)	The point moves \(3\) digit to the right

\(99.2345 : 10=9.92345\)	The point moves \(1\) digit to the left.
\(99.2345 : 100=0.992345\)	The point moves \(2\) digits to the left.
\(99.2345 : 1000=0.0992345\)	The point moves \(3\) digits to the left.
\(99.2345 : 10000=0.00992345\)	The point moves \(4\) digits to the left.

2. Decimal place transfer