500 000 In Expanded Form

Expanded grade of a Number

Nosotros know that the number written every bit sum of the place-values of its digits is called the expanded form of a number.

Standard Form		Expanded Course
twenty,37,81,405	=	20,00,00,000 + 0 + 30,00,000 + 7,00,000 + 80,000 + i,000 + 400 + 0 + 5

In expanded form of a number, the number is shown according to the place values of its digits.

This is shown here:

In 2385, the identify values of the digits are given below:

Hence, 2385 = 2000 + 300 + eighty + v

Thus, 2000 + 300 + 80 + 5 is the expanded form of 2385.

Again,

2,55,109	=	2,00,000 + fifty,000 + 5,000 + 100 + 0 + nine
Standard Form		Expanded Form

Expanded Notation

The digits of the numerals 394381, 163845, 583927 are entered in the place value chart as given below.

Lakhs 100000	Ten thousands 10000	Thousands 1000	Hundreds 100	Tens 10	Ones 1
3	9	iv	3	viii	1
1	6	3	viii	4	5
5	8	3	nine	2	7

(i) What is the expanded form of the number 394381?

394381 = 3 lakhs + 9 ten thousands + 4 thousands + 3 hundreds +

               eight tens + ane one

            = iii × 100000 + nine × 10000 + 4 × 1000 + 3 × 100 + viii × 10 +

               1 × one

            = 300000 + 90000 + 4000 + 300 + 80 + 1

(2) What is the expanded course of the number 163845?

163845 = 1 lakhs + 6 x thousands + 3 thousands + 8 hundreds +

               4 tens + 5 ones

            = 1 × 100000 + 6 × 10000 + iii × 1000 + 8 × 100 + iv × 10 +

            = v × 1

            = 100000 + 60000 + 3000 + 800 + 40 + 5

(three) What is the identify value of all the digits of number 583927?

Digit			Identify Value
5	5 lakhs	→	v × 100000 =      500000
8	8 x thousands	→	8 × 10000   =      80000
iii	3 thousands	→	three × thou     =      3000
nine	ix hundreds	→	9 × 100       =      900
2	ii tens	→	2 × 10        =      20
seven	7 ones	→	7 × 1          =      7

Given the expanded form of a number, we can also write the numeral in the standard form.

500000 + 80000 + 3000 + 900 + 20 + seven

= 583927

Expanded form of a number to standard form.

(iv)3000 + 200 + 40 + 8 = 3248

(five) seven ten thousands + 4 thousands + two hundreds + 3 tens + eight ones

   = 74238

Solved Examples on Expanded Form of a Number:

i. Write the expanded course for the number lxx,39,41,295.

Solution:

Therefore, the expanded grade of the number 70,39,41,295 is 70,00,00,000 + 00000000 + 3000000+ 900000 + 40000 + 1000 + 200 + 90 + 5.

2. Detect the expanded grade of 453169.

Solution:

Place values of digits 453169

Then, 453169 = 400000 + 50000 + 3000 + 100 + 60 + nine

3. Write the number in figures and then in words for the post-obit expanded grade:

(i) 80000 + 8000 + 500 + fifty + seven

Solution:

80000 + 8000 + 500 + fifty + vii

= 88557 (in figures)

Eighty eight thousand five hundred fifty seven (in words)

(ii) 100000 + 30000 + 2000 + 10 + 6

Solution:

100000 + 30000 + 2000 + ten + 6 = 132016 (in figures)

One hundred thirty ii k sixteen (in words)

We can write the expanded form of numbers in dissimilar ways.

4. Write in expanded form:

(i) 28369

Write as:

(a) 20000 + 8000 + 300 + 60 + 9

(b) two × 10000 + 8 × 1000 + three × 100 + 6 × x + 9 × 1

(c) ii ten thousands + eight thousands + 3 hundreds + 6 tens + 9 ones

(a) 400000 + 10000 + 9000 + 200 + 40 + 7

(b) 4 × 100000 + 1 × 10000 + 9 × 1000 + two × 100 + 4 × 10 + 7 × 1

(c) 4 hundred thousands + i x thousands + 9 thousands + 2 hundreds + 4 tens + 7 ones

Numbers Beyond One Lakh

1 lakh 2 lakhs 3 lakhs 4 lakhs five lakhs 6 lakhs vii lakhs viii lakhs 9 lakhs 10 lakhs

=     10\(^{5}\) =     2 × 10\(^{five}\) =     3 × 10\(^{5}\) =     4 × 10\(^{5}\) =     5 × 10\(^{5}\) =     half dozen × 10\(^{v}\) =     7 × 10\(^{5}\) =     eight × 10\(^{5}\) =     9 × 10\(^{5}\) =     10 × 10\(^{5}\)

=     100000 =     200000 =     300000 =     400000 =     500000 =     600000 =     700000 =     800000 =     900000 =     one thousand thousand

Note: There are vii digits in ten lakhs.

         Therefore the 7th place is called ten lakhs identify.

Questions and Answers on Expanded Form of a Number:

I. Write the given numbers in expanded class:

(i) 617 = _____ + _____ + _____

(two) 319 = _____ + _____ + _____

(3) 286 = _____ + _____ + _____

(four) 939 = _____ + _____ + _____

(five) 677 = _____ + _____ + _____

(six) 918 = _____ + _____ + _____

(seven) 328 = _____ + _____ + _____

(viii) 520 = _____ + _____ + _____

(nine) 647 = _____ + _____ + _____

(x) 474 = _____ + _____ + _____

Respond:

I. (i) 600 + 10 + 7

(ii) 300 + ten + nine

(iii) 200 + fourscore + half dozen

(iv) 900 + 30 + 9

(v) 600 + 70 + 7

(vi) 900 + 10 + eight

(vii) 300 + 20 + 8

(viii) 500 + 20 + 0

(9) 600 + forty + seven

(x) 400 + lxx + four

II. Write the expanded grade for the given numbers:

(i) seven,12,306

(ii) eight,07,392

(iii) 6,44,895

(iv) iii,73,737

(v) nine,22,005

Answers:

2. (i) 7,00,000 + 10,000 + ii,000 + 300 + 0 + 6

(ii) eight,00,000 + 0 + seven,000 + 300 + 90 + 2

(iii) vi,00,000 + 40,000 + 4,000 + 800 + ninety + 5

(four) 3,00,000 + seventy,000 + 3,000 + 700 + 30 + 7

(five) nine,00,000 + 20,000 + 2,000 + 0 + 0 + 5

Iii. Write the given number in standard form:

(i) 30,000 + 4,000 + 700 + 2

(ii) 2,00,000 + eighty,000 + 4,000 + 800 + fifty

(iii) 6,00,000 + 40,000 + four,000 + 800 + xc + 5

(four) 8,00,000 + 10,000 + 6,000 + 200 + l + 7

(v) i,00,000 + twenty,000 + i,000 + 200 + 10 + ii

(six) nine,00,000 + two

Answers:

3. (i) 34702

(ii) 2,84,850

(iii) 6,44,895

(iv) 8,16,257

(v) one,21,212

(half dozen) 9,00,002

4.  Rearrange and write the number:

(i) 5 ones 6 tens 1 hundred (ii) vii hundreds 9 ones one ten (iii) 3 tens 5 hundreds 6 ones (iv) 8 ones 9 tens 2 hundreds (5) 4 hundreds 6 ones 7 tens (vi) 2 tens three hundreds vi ones

_____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____

Answer:

(i) 1 hundred half-dozen tens 5 ones (ii) 7 hundreds 1 ten 9 ones (3) 5 hundreds 3 tens 6 ones (iv) 2 hundreds 9 tens 8 ones (v) 4 hundreds 7 tens 6 ones (half-dozen) 3 hundreds 2 tens half dozen ones

=  =  =  =  =  =

165 719 536 298 476 326

V. Circumvolve the correct one

(i) 9 hundreds ii tens three ones (ii) 6 hundreds 0 tens 1 one (three) 3 hundreds 6 tens 3 ones (four) 2 hundreds 2 tens 1 ane (5) 5 hundreds 8 tens iv ones (six) 9 hundreds 8 tens 0 ones

932     923     329 106     601     610 363     336     633 212     221     122 854     584     485 980     908     809

Answer:

(i) 923

(two) 601

(iii) 363

(iv) 221

(5) 584

(half dozen) 980

Half-dozen. Write the following numbers in the expanded form in three dissimilar ways as shown in the examples.

(i) 61,052

61,052 -   6 ten thousands + ane chiliad + 0 hundreds + five tens + 2 ones

      -   6 × 10000 + one × grand + 0 × 100 + 5 × 10 + ii× 1

      -   60000 + grand + 0 + 50 + two

(ii) 1, 99, 099

(3) 2,eighty,476

(iv) 3,67,814

(v) 8,31, 879

Related Concept

• Formation of Numbers.
• Finding Out the Numbers
• Names of the Numbers.
  
• Numbers Showing on Fasten Abacus.
  
• ane Digit Number on Spike Abacus.
  
• 2 Digits Number on Fasten Abacus.
  
• 3 Digits Number on Spike Abacus.
  
• iv Digits Number on Spike Abacus.
  
• 5 Digits Number on Fasten Abacus.
  
• Large Number.
• Place Value Nautical chart.
• Place Value.
• Bug Related to Place Value.
• Expanded form of a Number.
• Standard Form.
• Comparing of Numbers.
• Example on Comparison of Numbers.
• Successor and Predecessor of a Whole Number.
  
• Arranging Numbers.
  
• Formation of Numbers with the Given Digits.
• Formation of Greatest and Smallest Numbers.
• Examples on the Germination of Greatest and the Smallest Number.
• Rounding off Numbers.

4th Grade Math Activities

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500 000 In Expanded Form,

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