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
You might like these
We will discuss here about the combination of addition and subtraction. The rules which can be used to solve the sums involving addition (+) and subtraction (-) together are: I: First add
Subtraction of 3-digit numbers without regrouping are explained here with examples. 1. Ron has a ream of paper having 140 sheets in it. He has used 40 sheets for his project report. How many sheets are left in the ream? To find out the number of sheets left, we will perform
We will learn the basic knowledge for estimating a sum. Here we will learn an easy way to estimate a sum of two numbers by rounding. In case of two digit numbers we can only round the number
We will learn Addition of 3-Digit Numbers without Regrouping. We know how to do addition of 3-digit numbers without regrouping. Let us recall it solving some examples. Solved Examples on Addition of 3-Digit Numbers without Regrouping 1. The shopkeeper has 153 packets
What are the rules for the comparison of three-digit numbers? (i) The numbers having less than three digits are always smaller than the numbers having three digits as:
Worksheet on third grade fractions is a great resource for children to practice the different types of questions on fraction. The questions are based on identifying the numerator and denominator
How to find fraction as a part of collection? Let there be 14 rectangles forming a box or rectangle. Thus, it can be said that there is a collection of 14 rectangles, 2 rectangles in each row. If it is folded into two halves, each half will have 7 rectangles. So, we can say
How is fraction as a part of a whole? We know, a fraction means a part. So, fraction is the part of a whole object. Thus, a fraction is the part of a collection or collections of objects. A fraction is a part of a whole number say 1, 2, 3, 4, ... 150 ... etc.
In 3rd Grade Multiplication Worksheet we will solve how to divide using multiplication tables, relationship between multiplication and division, problems on properties of division, long division method, word problems on long division.
As we know that the division is to distribute a given value or quantity into groups having equal values. In long division, values at the individual place (Thousands, Hundreds, Tens, Ones) are dividend one at a time starting with the highest place.
In 3rd Grade Multiplication Worksheet we will solve how to multiply 2-digit number by 1-digit number without regrouping, multiply 2-digit number by 1-digit number with regrouping, multiply 3-digit number by 1-digit number without regrouping, multiply 3-digit number
We will learn how to solve the word problems on multiplication by 2-digit number. Here we will apply the same process when we multiply a 2-digit number by a 2-digit number. Solved examples:
"We will learn how to multiply 3-digit numbers by 2-digit numbers.
We will learn how to multiply 2-digit numbers by 2-digit numbers.
We will learn how to solve the word problems on multiplication by 1-digit number. Here we will apply the same process when we multiply 2-digit number by 1-digit number and 3-digit number by 1-digit number.
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?
|
|
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.