Question

Write the expanded form of the given decimal using a place value chart: 317.29

• A. $(3\times 100)+(1\times 10)+(7\times 1)+(2\times 10)+(9\times 100)$
• B. $(3\times 100)+(1\times 10)+(7\times 1)+(2\times \frac{1}{10})+(9\times \frac{1}{100})$

Answer 1

The correct option is B $(3\times 100)+(1\times 10)+(7\times 1)+(2\times \frac{1}{10})+(9\times \frac{1}{100})$

Let's plot the number in a place value table chart.
Place Value Chart

Hundreds	Tens	Ones	.	Tenths	Hundredths
3	1	7	.	2	9

Now write the expanded form by multiplying the face value with its place value, starting from the left-most column.

For the hundreds column, expansion is

$\text{Face value}\times \text{Place value}$
$=3\times 100$

Perform a similar operation for all the face values and add them.

The expanded form of $317.29$ is

$(3\times 100)+(1\times 10)+(7\times 1)+(2\times \frac{1}{10})+(9\times \frac{1}{100})$