IXL | Convert decimals between standard and expanded form

Find the standard decimal form of:

0.1

950.5

95.5

55.9

955

ref_doc_title.

Learn with an example

question

Find the standard decimal form of:

0.1

50.6

92.8

928

82.9

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

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 0.1. 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
9 × 10
		.

The tens digit is 9. Write this digit in the second row.

Tens	Ones	.	Tenths
9 × 10
9		.

Complete the rest of the chart in the same way.

Tens	Ones	.	Tenths
9 × 10	2 × 1		8 × 0.1
9	2	.	8

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

0.1

92.8

Looking for more? Try these:

Lesson: Writing decimals in expanded form

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	02

SmartScore
out of 100
IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more

Teacher tools

Work it out

Not feeling ready yet? These can help:

X.7Convert decimals to fractions and mixed numbers

Y.2Place values in decimal numbers

A.5Convert between standard and expanded form

Lesson: Writing decimals in expanded form

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!