Expanded Form and Short Form of a Number

When we write a number as a sum of place value of its digits, the number is said to be in expended form and when we write a number using digits, the number is said to be in short form.


Expanded Form of a Number:

When we write 3476, the number really means 3000 + 400 + 70 + 6. This means we have expanded the number to show the value of each of its digit.

The expanded form of a number is the method of expressing the number as the sum of the place value of all its digits.

For example,

Consider the number 2815

2815 = 2000 + 800 + 10 + 5

There are 3 ways to write the expanded form. There are 3 ways to write the expanded form for a given number.


Examples on Expanded Form of a Number:

1. Write the expanded form for 43,257.

Solution:

1st way: 4 ten thousands + 3 thousands + 2 hundreds + 5 tens + 7 ones

2nd way: 4 × 10000 + 3 × 1000 + 2 × 100 + 5 × 10 + 7 × 1

3rd way: 40000 + 3000 + 200 + 50 + 7

2. Write the expanded form for 14,080.

Solution:

14,080 = 1 ten thousand + 4 thousands + 8 tens   [Note: We do not write the place value for hundreds and ones as these places are filled with zero.]

or, 1 × 10000 + 4 × 1000 + 8 × 10

or, 10000 + 4000 + 80


Standard Form of a Number / Short Form of a Number:

The standard form of a number is a way of expressing the expanded form in figures.

For example, the standard form of 7000 + 400 + 10 + 1 = 7411


Examples on Expanded Form and Short Form of a Number:

3. Write the short form for the given expanded forms.

(i) 8 ten thousands + 6 hundreds + 6 tens + 3 ones

(ii) 9  × 10000 + 7 × 1000 + 4 × 10 + 2

(iii) 40000 + 3000 + 900 + 70 + 8

Solution:

                 Expanded Form

(i) 8 ten thousands + 6 hundreds + 6 tens + 3 ones

(ii) 9 × 10000 + 7 × 1000 + 4 × 10 + 2

(iii) 40000 + 3000 + 900 + 70 + 8

Short Form

80663

97042

43978


Questions and Answers on Expanded Form and Standard Form of a Number:

I. Write in the expanded form:

(i) 5896

(ii) 3817

(iii) 6399

(iv) 1357

(v) 3434

(vi) 5690


Answer:

I. (i) 5000 + 800 + 90 + 6

(ii) 3000 + 800 + 10 + 7

(iii) 6000 + 300 + 90 + 9

(iv) 1000 + 300 + 50 + 7

(v) 3000 + 400 + 30 + 4

(vi) 5000 + 600 + 90 + 0



II. Write in the standard form:

(i) 2000 + 900 + 90 + 9

(ii) 8000 + 200 + 50 + 3

(iii) 1000 + 400 + 50 + 2

(iv) 4000 + 300 + 9

(v) 6000 + 900 + 80 + 4


Answer:

II. (i) 2999

(ii) 8253

(iii) 1452

(iv) 4309

(v) 6984





3rd Grade Math Lessons

From Expanded Form and Short Form of a Number 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.



Share this page: What’s this?

Recent Articles

  1. Tangrams Math | Traditional Chinese Geometrical Puzzle | Triangles

    Apr 17, 24 01:53 PM

    Tangrams
    Tangram is a traditional Chinese geometrical puzzle with 7 pieces (1 parallelogram, 1 square and 5 triangles) that can be arranged to match any particular design. In the given figure, it consists of o…

    Read More

  2. Time Duration |How to Calculate the Time Duration (in Hours & Minutes)

    Apr 17, 24 01:32 PM

    Duration of Time
    We will learn how to calculate the time duration in minutes and in hours. Time Duration (in minutes) Ron and Clara play badminton every evening. Yesterday, their game started at 5 : 15 p.m.

    Read More

  3. Worksheet on Third Grade Geometrical Shapes | Questions on Geometry

    Apr 16, 24 02:00 AM

    Worksheet on Geometrical Shapes
    Practice the math worksheet on third grade geometrical shapes. The questions will help the students to get prepared for the third grade geometry test. 1. Name the types of surfaces that you know. 2. W…

    Read More

  4. 4th Grade Mental Math on Factors and Multiples |Worksheet with Answers

    Apr 16, 24 01:15 AM

    In 4th grade mental math on factors and multiples students can practice different questions on prime numbers, properties of prime numbers, factors, properties of factors, even numbers, odd numbers, pr…

    Read More

  5. Worksheet on Factors and Multiples | Find the Missing Factors | Answer

    Apr 15, 24 11:30 PM

    Worksheet on Factors and Multiples
    Practice the questions given in the worksheet on factors and multiples. 1. Find out the even numbers. 27, 36, 48, 125, 360, 453, 518, 423, 54, 58, 917, 186, 423, 928, 358 2. Find out the odd numbers.

    Read More