Decimal in Expanded Form

We will discuss here about how to express decimal in expanded form.

Let us observe the following place value table.

Numerals

Hundreds

100

Tens

10

Ones

1

(.)

.

Tenths

\(\frac{1}{10}\)

Hundredths

\(\frac{1}{100}\)

Thousandths

\(\frac{1}{1000}\)

48.305

0.9

53.02

315.217

12.375

796.583

55.505

145.008




3


7


1

4


5

1

1

9

5

4

8


3

5

2

6

5

5

.

.

.

.

.

.

.

.

3

9

0

2

3

5

5

0

0


2

1

7

8

0

0

5



7

5

3

5

8

Now, consider the expanded form of the above numerals.

48.305 = 40 + 8 + 0.3 + 0.005

0.9 = 0.9

53.02 = 50 + 3 + 0.02

315.217 = 300 + 10 + 5 + 0.2 + 0.01 + 0.007

12.375   = 10 + 2 + 0.3 + 0.07 + 0.005

796.583 = 700 + 90 + 6 + 0.5 + 0.08 + 0.003

55.505   = 50 + 5 + 0.5 + 0.005

145.008 = 100 + 40 + 5 + 0.008


Solved examples:

Express the decimals in the expanded form:

(i) 1.569

= 1 + 0.5 + 0.06 + 0.009

(ii) 14.4502

= 10 + 4 + 0.4 + 0.05 + 0.0002

(iii) 0.256

= 0.2 + 0.05 + 0.006

(iv) 138.048

= 100 + 30 + 8 + 0.04 + 0.008

(v) 956.369

= 900 + 50 + 6 + 0.3 + 0.06 + 0.009


Now we will learn how to express the expanded form of a decimal in short form.


Solved examples:

Express the expanded form in short form of decimals:

(i) 200 + 20 + 3 + 0.3 + 0.05 + 0.001

= 223.351

(ii) 10 + 8 + 0.1 + 0.002 + 0.0008

= 18.1028

(iii) 300 + 10 + 5 + 0.5 + 0.02 + 0.005

= 315.525





4th Grade Math Activities

From Decimal in Expended Form to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.