Numbers in Indian and International Systems

numbers in indian and international systems class 6 selina

Table of Contents

Exercise: 3

Q1: Write the following numerals using the Indian System or Intemational system (as required) words:

i. 4,35,342 (Indian System):
Place values in Indian system: Lakh → Thousand → Hundred
= 4 Lakhs + 35 Thousand + 342
= Four lakh thirty-five thousand three hundred forty-two

ii. 36,71,430 (Indian System):
= 36 Lakhs + 71 Thousand + 430
= Thirty-six lakh seventy-one thousand four hundred thirty

iii. 4,28,30,004 (Indian System):
= 4 Crores + 28 Lakhs + 30 Thousand + 4
= Four crore twenty-eight lakh thirty thousand four

iv. 75,132,684 (International System):
Place values: Millions → Thousands → Units
= 75 Million + 132 Thousand + 684
= Seventy-five million one hundred thirty-two thousand six hundred eighty-four

v. 815,906 (International System):
= 815 Thousand + 906
= Eight hundred fifteen thousand nine hundred six

vi. 5,420,700 (International System):
= 5 Million + 420 Thousand + 700
= Five million four hundred twenty thousand seven hundred


Q2: Write the following numbers, placing the commas, according to the Indian system:

i. 835629
Indian System grouping: Hundred → Thousand → Lakh
Start from right: 8,35,629
Explanation:
= 8 Lakhs + 35 Thousand + 629
= 8,35,629

ii. 35640254
Indian System grouping: Crore → Lakh → Thousand → Hundred
Start from right: 3,56,40,254
Explanation:
= 3 Crores + 56 Lakhs + 40 Thousand + 254
= 3,56,40,254

iii. 2826040
Indian System grouping: Lakh → Thousand → Hundred
Start from right: 28,26,040
Explanation:
= 28 Lakhs + 26 Thousand + 40
= 28,26,040


Q3: Write the following numbers, by placing the commas, according to the International system:

i. 6509820
International System grouping: Millions → Thousands → Units
Start from right: 6,509,820
Explanation:
= 6 Million + 509 Thousand + 820
= 6,509,820

ii. 428140584
Grouping from right: 428140,584
Explanation:
= 428 Million + 140 Thousand + 584
= 428,140,584

iii. 63560981
Grouping from right: 63,560,981
Explanation:
= 63 Million + 560 Thousand + 981
= 63,560,981


Q4: Fill in the blanks as indicated:

i. Four lakh sixty seven thousand three hundred six
Step 1: Write in Indian numeral form
= 4 Lakhs + 67 Thousand + 306
= 4,67,306 (Indian numeral form)
Step 2: Convert to international numeral form (write without Indian commas)
= 467,306 (International numeral form)
Step 3: Write in international numeration (words)
= Four hundred sixty-seven thousand three hundred six (International numeration)

ii. Thirteen lakh forty five
Step 1: Write in Indian numeral form
= 13 Lakhs + 45
= 13,00,045 (Indian numeral form)
Step 2: Convert to international numeral form
= 1,300,045 (International numeral form)
Step 3: Write in international numeration (words)
= One million three hundred thousand forty-five (International numeration)


Q5: Fill in the blanks:

i. Six hundred four thousand eight hundred forty seven
Step 1: Write in International numeral form
= 604,847
= 604,847 (International numeral form)
Step 2: Convert to Indian numeral form
Indian system: group from right → Hundred, Thousand, Lakh
= 6,04,847 (Indian numeral form)
Step 3: Write in Indian numeration (words)
= Six lakh four thousand eight hundred forty seven (Indian numeration)

ii. Two million three hundred ten thousand one hundred four
Step 1: Write in International numeral form
= 2,310,104
= 2,310,104 (International numeral form)
Step 2: Convert to Indian numeral form
= 23 Lakhs + 10 Thousand + 104
= 23,10,104 (Indian numeral form)
Step 3: Write in Indian numeration (words)
= Twenty-three lakh ten thousand one hundred four (Indian numeration)


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