IXL | Convert decimals between standard and expanded form: tenths

What is the expanded form of 50.2?

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Learn with an example

question

Find the standard decimal form of:

598

89.5

5.98

59.8

key idea

The position of a digit tells you its value. A place value chart keeps track of each digit's value.

Here is a place value chart for the expansion

Tens	Ones	.	Tenths
1 × 10	2 × 1		3 × 1 10
1	2	.	3

According to the chart,

12.3

solution

Look at the expression.

Each term is the product of two numbers. The first number is the

digit.

The second number is the place

value.

In this expression, the largest place value is 10 and the smallest is

Use a place value chart with a column for each place value between the largest and the smallest:

Tens,

Ones,

and

Tenths.

Tens	Ones	.	Tenths

		.

Write

in the first row of the Tens column.

Tens	Ones	.	Tenths
5 × 10
		.

The tens digit is 5. Write this digit in the second row.

Tens	Ones	.	Tenths
5 × 10
5		.

Complete the rest of the chart in the same way.

Tens	Ones	.	Tenths
5 × 10	9 × 1		8 × 1 10
5	9	.	8

To write the expression as a decimal number, read the bottom row from left to right.

59.8

Looking for more? Try these:

Lesson: Writing decimals in expanded form

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Teacher tools

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Not feeling ready yet? These can help:

Convert fractions and mixed numbers to decimals: tenths

A.5Convert between standard and expanded form

Lesson: Writing decimals in expanded form

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