Large Numbers Maths Grade 5 Learning Concepts | Orchids
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Numbers

Large Numbers

We have learned:

G5_1_large numbers_10.07.2022

6-Digit Numbers

Biggest 5-digit number = 99999. If we add 1 to 99999, we get ‘one hundred thousand’. We read it as ‘One lakh’.

G5_2_large numbers_table
  • Smallest 6-digit number is 100000 (One lakh)
  • Biggest 6-digit number is 999999 (Nine lakh ninety-nine thousand nine hundred and ninety-nine)

7-Digit Numbers

Biggest 6-digit number = 999999. If we add 1 to 999999, we get 1000000. We read it as ‘Ten lakh’.

G5_3_large numbers_10.07.2022
  • Smallest 7-digit number is 1000000 (Ten lakh)
  • Biggest 7-digit number is 9999999 (Ninety-nine lakh ninety-nine thousand nine hundred and ninety-nine)

8-Digit Numbers

Biggest 7-digit number = 9999999. If we add 1 to 9999999, we get ‘Hundred Lakh’. We read it as ‘One Crore’.

G5_4_large numbers_10.07.2022
  • Smallest 8-digit number is 1000000 (One crore)
  • Biggest 8-digit number is 99999999 (Ninety-nine crore ninety-nine lakh ninety-nine thousand nine hundred and ninety-nine)

Representation of Large Numbers

We generally use the following two numeration systems to read and write numbers.

1. Indian System of Numeration

G5_5_large numbers_10.07.2022

Use of commas:

  • Commas are used to mark each period like ones, thousands, lakhs, etc.
  • The first comma comes after hundreds place. (After three digits from right). It marks thousands.
  • The second comma comes after ten thousands place. (After five digits from right). It marks lakhs.
  • The third comma comes after ten lakhs place. (After seven digits from right). It marks crores.
  • In this way after two digits we can put commas.

By using these commas, we can easily interpret large numbers.

Example 1:

493574637 → 49,35,74,637 80956234 → 8,09,56,234

Example 2:

Question 1: Write the number 6,08,77,681 in words.

Answer:

G5_6_large numbers_10.07.2022

The given number can be written in words as ‘Six crore eight lakh seventy-seven thousand six hundred and eighty-one’.

Question 2: Write ‘Five lakh two thousand four hundred and nine’ using numerals.

Answer:

  • There are 5 lakhs in this number, so write 5 in the place of L.
  • There are no ten thousand, so write 0 in the place of TTH.
  • There are 2 thousand, so write 2 in the place of TH.
  • There are 4 hundreds, so write 4 in the place of H.
  • There are no tens, so write 0 in the place of T.
  • There is nine, so write 9 in the ones place.
  • G5_7_large numbers_10.07.2022

So, we write this number as ‘5,02,409’.

2. International System of Numeration

G5_8_large numbers_10.07.2022

Use of commas:

  • Commas are used to mark each period like ones, thousands, millions, billions etc.
  • The first comma comes after hundreds place. (After three digits from right). It marks thousands.
  • The second comma comes after hundred thousands place. (After six digits from right). It marks millions.
  • The third comma comes after hundred million place. (After nine digits from right). It marks billions.
  • In this way after three digits we can put commas.

By using this commas’, we can easily interpret the numbers.

Example

324574810 → 324,574,810 70262625 → 70,262,625

Read and write large numbers in International system of numeration:

In the following examples by using commas learn to read and write the numbers.

Example

1. 58,634,521 (Write this number in words.)

G5_9_large numbers_table

Put this number in place value table of International system of numeration.

G5_10_large numbers_table

So, we write this number as ‘Fifty-eight million six hundred thirty-four thousand five hundred and twenty-one’.

2. Six million seventy-four thousand four hundred and three (Write this number in figures.)

G5_11_large numbers_table
  • There are 6 million in this number, so write 6 in the place of M.
  • There are no hundred thousand, so write 0 in the place of HTH.
  • There are 74 thousand, so write 7 in the place of TTH and 4 in place of TH.
  • There are 4 hundred, so write 4 in the place of H.
  • There are no tens, so write 0 in the place of T.
  • There are 3, so write 3 in the ones place.

So, we write this number as 6,074,403

Comparison between Indian system of numeration and International system of numeration:

G5_12_large numbers_table

Place value of digits and expanded form of number

Learn place value with an example.

Example: 67,09,402

Put this number in the place value table.

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{Trick: Count the digits after the number for which place value is to be found.

For example: 93,546

There are 4 digits after the number 9. So, write 4 zeroes after the number 9 and we get the place value of the number 9.

Place value of 9 = 90000}

Expanded form:

By writing place values of the digits in the form of addition, we get expanded form of the number.

Example: Let’s take above example:

Write the expanded form of the 67,09,402

We can write expanded form as:

67,09,402 = 6000000 + 700000 + 0 + 9000 + 400 + 0 + 2

Example:

Write the number by using expanded form.

700000 + 20000 + 8000 + 3

  • 700000 is place value of lakh place.
  • 20000 is place value of ten thousand place.
  • 8000 is place value of thousand place.
  • 3 is place value of ones place.
  • Place values of hundred and tens place are missing. So, put 0 in these places. We get the number as:
G5_14_large numbers_table

700000 + 20000 + 8000 + 3 = 7,28,003

G5_15_large numbers_did you know

G5_16_large numbers_Mind map
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