IXL | Convert decimals between standard and expanded form

Find the standard decimal form of:

0.1

0.01

4.23

40.23

324

5.11

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Learn with an example

question

Find the standard decimal form of:

0.1

0.01

6.708

6.78

60.78

876

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

0.1

Tens	Ones	.	Tenths
1 × 10	2 × 1		3 × 0.1
1	2	.	3

According to the chart,

0.1

12.3

solution

Look at the expression.

0.1

0.01

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 1 and the smallest is 0.01. Use a place value chart with a column for each place value between the largest and the smallest:

Ones,

Tenths,

and

Hundredths.

Ones	.	Tenths	Hundredths

	.

Write

in the first row of the Ones column.

Ones	.	Tenths	Hundredths
6 × 1
	.

The ones digit is 6. Write this digit in the second row.

Ones	.	Tenths	Hundredths
6 × 1
6	.

Complete the rest of the chart in the same way.

Ones	.	Tenths	Hundredths
6 × 1		7 × 0.1	8 × 0.01
6	.	7	8

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

0.1

0.01

6.78

Looking for more? Try these:

Lesson: Writing decimals in expanded form

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Teacher tools

Work it out

Not feeling ready yet? These can help:

W.4Place values in decimal numbers

A.5Convert between standard and expanded form

Lesson: Writing decimals in expanded form

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