Class 5 - Page 4 Solutions
I. Read the following 6-digit numbers in word form.
| Number | In Words (అక్షరాలలో) |
|---|---|
| 3,00,000 | Three lakh |
| 4,00,000 | Four lakh |
| 5,00,000 | Five lakh |
| 6,00,000 | Six lakh |
| 7,00,000 | Seven lakh |
| 8,00,000 | Eight lakh |
| 9,00,000 | Nine lakh |
| 4,50,000 | Four lakh fifty thousand |
| 7,49,192 | Seven lakh forty nine thousand one hundred and ninety two |
Do these - 1
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1) Read the numbers 3,51,645 and 9,38,715.• 3,51,645: Three lakh fifty one thousand six hundred and forty five.
• 9,38,715: Nine lakh thirty eight thousand seven hundred and fifteen. -
2) Write any five 6-digit numbers using the digits 7, 4, 9, and 3 (repeating digits as needed) and express them in word form.1. 7,49,374 → Seven lakh forty nine thousand three hundred and seventy four.
2. 9,73,497 → Nine lakh seventy three thousand four hundred and ninety seven.
3. 3,94,739 → Three lakh ninety four thousand seven hundred and thirty nine.
4. 4,79,347 → Four lakh seventy nine thousand three hundred and forty seven.
5. 7,93,479 → Seven lakh ninety three thousand four hundred and seventy nine.
Concept Note:
• Largest 6-digit number = 9,99,999
• $9,99,999 + 1 = 10,00,000$
• Smallest 7-digit number = 10,00,000 (Ten lakh)
• Largest 6-digit number = 9,99,999
• $9,99,999 + 1 = 10,00,000$
• Smallest 7-digit number = 10,00,000 (Ten lakh)
II. Read the following 7-digit numbers in word form.
| Number | In Words (అక్షరాలలో) |
|---|---|
| 20,00,000 | Twenty lakh |
| 30,00,000 | Thirty lakh |
| 40,00,000 | Forty lakh |
| 50,00,000 | Fifty lakh |
| 60,00,000 | Sixty lakh |
| 70,00,000 | Seventy lakh |
Do these - 2
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1) Read the numbers 65,14,852 and 29,36,429.• 65,14,852: Sixty five lakh fourteen thousand eight hundred and fifty two.
• 29,36,429: Twenty nine lakh thirty six thousand four hundred and twenty nine. -
2) Write any five 7-digit numbers using the digits 2, 8, 5, and 1 (repeating digits as needed) and express them in word form.1. 28,51,285 → Twenty eight lakh fifty one thousand two hundred and eighty five.
2. 85,12,851 → Eighty five lakh twelve thousand eight hundred and fifty one.
3. 52,81,528 → Fifty two lakh eighty one thousand five hundred and twenty eight.
4. 18,52,185 → Eighteen lakh fifty two thousand one hundred and eighty five.
5. 82,15,812 → Eighty two lakh fifteen thousand eight hundred and twelve.
EXERCISE - 1 (Page 6 Solutions)
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1) Identify the biggest number among the following. ( D )A) 7,26,581B) 7,36,581C) 7,16,584D) 7,96,581
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2) What is the place value of 8 in 7,08,643? ( C )A) 80,000B) 800C) 8,000D) 0
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3) Write the following numbers in words.a) 1,25,602 = One lakh twenty five thousand six hundred and two.
b) 5,58,946 = Five lakh fifty eight thousand nine hundred and forty six.
c) 9,57,524 = Nine lakh fifty seven thousand five hundred and twenty four. -
4) Write the following in numbers.a) Fourteen lakh thirty five thousand and fifteen = 14,35,015
b) Seventy four lakh sixty two thousand four hundred and sixty five = 74,62,465 -
5) Read the following and answer.
Vemanna bought a house for ₹45,87,000 and a plot beside it, at ₹18,56,000. He paid a total amount of ₹64,43,000.• The cost of the house (in words):
Forty five lakh eighty seven thousand rupees.
• The cost of the plot (in words):
Eighteen lakh fifty six thousand rupees.
• The total cost of the house and the plot is (in words):
Sixty four lakh forty three thousand rupees.
Do These Solutions (Page 12)
Do these
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1) Write the following numerals in standard form and also write them in words.a) 721594
• Standard Form: 7,21,594
• In Words: Seven lakh twenty one thousand five hundred and ninety four.b) 4632584
• Standard Form: 46,32,584
• In Words: Forty six lakh thirty two thousand five hundred and eighty four. -
2) Express the following numbers in expanded form.a) 40,63,52,456
• Expanded Form:
40,00,00,000 + 0 + 60,00,000 + 3,00,000 + 50,000 + 2,000 + 400 + 50 + 6
(or) 40,00,00,000 + 60,00,000 + 3,00,000 + 50,000 + 2,000 + 400 + 50 + 6b) 73,45,46,800
• Expanded Form:
70,00,00,000 + 3,00,00,000 + 40,00,000 + 5,00,000 + 40,000 + 6,000 + 800 + 0 + 0
(or) 70,00,00,000 + 3,00,00,000 + 40,00,000 + 5,00,000 + 40,000 + 6,000 + 800
Page 14 Solutions
b) Spike Abacus Representation
Write the standard form, expanded form and the number in words for the number represented based on the beads on the spike abacus.
Beads Count per place value:
TC: 5 | Cr: 6 | TL: 1 | L: 4 | TTh: 2 | Th: 6 | H: 3 | T: 2 | O: 5
TC: 5 | Cr: 6 | TL: 1 | L: 4 | TTh: 2 | Th: 6 | H: 3 | T: 2 | O: 5
• Number in standard form: 56,14,26,325
• Expanded form:
50,00,00,000 + 6,00,00,000 + 10,00,000 + 4,00,000 + 20,000 + 6,000 + 300 + 20 + 5
• Number in words:
Fifty six crore fourteen lakh twenty six thousand three hundred and twenty five.
• Expanded form:
50,00,00,000 + 6,00,00,000 + 10,00,000 + 4,00,000 + 20,000 + 6,000 + 300 + 20 + 5
• Number in words:
Fifty six crore fourteen lakh twenty six thousand three hundred and twenty five.
Do these
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1) Draw the spike abacus for the following numbers (Beads Count Details):1) 54,56,705
• TL: 5 | L: 4 | TTh: 5 | Th: 6 | H: 7 | T: 0 | O: 52) 6,27,12,545
• Cr: 6 | TL: 2 | L: 7 | TTh: 1 | Th: 2 | H: 5 | T: 4 | O: 53) 72,61,50,305
• TC: 7 | Cr: 2 | TL: 6 | L: 1 | TTh: 5 | Th: 0 | H: 3 | T: 0 | O: 5 -
2) Write the numerals in standard form for the following number names.a) Twenty five lakh five thousand eight hundred and forty one.
Ans: 25,05,841b) Five crore twenty lakh six thousand two hundred and five.
Ans: 5,20,06,205 -
3) Write the numerals in standard form for the following expanded forms.a) 60,00,000 + 0 + 50,000 + 1,000 + 0 + 0 + 8 = 60,51,008b) 20,00,00,000 + 80,00,000 + 40,000 + 500 + 1 = 20,80,40,501
EXERCISE - 2 (Page 16 Solutions)
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1) On the basis of given abacuses, state which of the following option is true. ( B )• Abacus i): TL: 1 | L: 3 | TTh: 1 | Th: 0 | H: 4 | T: 2 | O: 4 → 13,10,424
• Abacus ii): TL: 1 | L: 4 | TTh: 3 | Th: 2 | H: 2 | T: 2 | O: 5 → 14,32,225
• Comparison: $13,10,424 < 14,32,225 \implies \text{i} < \text{ii}$A) i > iiB) i < iiC) i = iiD) None -
2) Write the following numerals in standard form.a) 24536192 = 2,45,36,192
b) 900000100 = 90,00,00,100 -
3) Write the following numerals in words.a) 93,53,26,491 = Ninety three crore fifty three lakh twenty six thousand four hundred and ninety one.b) 70,30,10,400 = Seventy crore thirty lakh ten thousand four hundred.
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4) Write expanded form for the following numerals.a) 3,49,85,294
• Expanded Form:
3,00,00,000 + 40,00,000 + 9,00,000 + 80,000 + 5,000 + 200 + 90 + 4b) 50,23,80,050
• Expanded Form:
50,00,00,000 + 0 + 20,00,000 + 3,00,000 + 80,000 + 0 + 0 + 50 + 0
(or) 50,00,00,000 + 20,00,000 + 3,00,000 + 80,000 + 50 -
5) Write the number in standard form for the following.a) Forty five lakh thirty three thousand six hundred and eighty four.
Ans: 45,33,684b) 5crore + 20 lakh + 9 lakh + 40 thousand + 2 thousand + one hundred + 2 ten + 8one
Ans: 5,29,42,128 -
6) The distance between Sun and our planet Earth is fourteen crore ninety five lakh ninety seven thousand eight hundred and seventy kilometers. Write the above number name in standard form and expanded form.• Standard Form:
14,95,97,870
• Expanded Form:
10,00,00,000 + 4,00,00,000 + 90,00,000 + 5,00,000 + 90,000 + 7,000 + 800 + 70 + 0
Page 20 Solutions (Do These & EXERCISE - 3)
Do these
Write place, place value and face value of the digit underlined in the following numbers.
| Number | Underlined Digit | Place | Place Value | Face Value |
|---|---|---|---|---|
| 43, 84,304 | 3 | Lakhs (L) | 3,00,000 | 3 |
| 73, 67,245 | 6 | Ten Thousands (TTh) | 60,000 | 6 |
| 68,98,23,052 | 9 | Ten Lakhs (TL) | 90,00,000 | 9 |
| 97, 63, 05, 100 | 9 | Ten Crores (TC) | 90,00,00,000 | 9 |
EXERCISE - 3
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1) The biggest 5 - digit number formed with digits 2, 0, 6, 4 and 9 is ( B )A) 64,920B) 96,420C) 96,240D) 96,042
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2) What is the standard form of “fifty nine crore seventy lakh fifty eight thousand nine hundred and ten”? ( A )A) 59,70,58,910B) 5,97,58,910C) 59,78,910D) 50,97,810
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3) Write place, place-value and face-value for the underlined digits in the following numbers in (Hindu - Arabic system).
Number Underlined Digit Place Place Value Face Value a) 73,58, 942 5 Ten Thousands (TTh) 50,000 5 b) 40,73,35,536 3 Ten Thousands (TTh) 30,000 3 c) 82,45,63,125 5 Lakhs (L) 5,00,000 5 d) 64,63,98,524 4 Crores (Cr) 4,00,00,000 4 -
4) Which digit should be filled in the blank in the number (47,_5,63,251) for which place-value is 90,00,000?• Explanation: The place value given is 90,00,000 (Ninety Lakhs), which corresponds to the Ten Lakhs (TL) place.
• Blank digit position = Ten Lakhs place.
• Therefore, the digit to be filled in the blank is 9.
• Complete Number = 47,95,63,251
Page 22 Solutions
EXERCISE - 3 (Continuation)
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5) Compare the following numbers using (>, < or =) in the blanks.1) 87,83,93,790 > 8,29,80,7582) 9,00,20,403 < 40,09,53,400
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6) Arrange the following numbers in the ascending order (ఆరోహణ క్రమం - చిన్న నుండి పెద్ద).
Numbers: 64,34,68,735 ; 10,29,47,026 ; 1,93,85,702 ; 14,89,27,131 ; 10,91,25,456Ascending Order:
1,93,85,702 < 10,29,47,026 < 10,91,25,456 < 14,89,27,131 < 64,34,68,735 -
7) Arrange the following numbers in the descending order (అవరోహణ క్రమం - పెద్ద నుండి చిన్న).
Numbers: 74,89,32,165 ; 48,29,30,456 ; 6,95,39,821 ; 98,43,26,834 ; 28,93,54,124Descending Order:
98,43,26,834 > 74,89,32,165 > 48,29,30,456 > 28,93,54,124 > 6,95,39,821
Do These Solutions (Page 24)
Do these
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1) Write the following numerals in standard forms in International system and write the number names.a) 4753625
• Standard Form (with commas): 4,753,625
• Number Name: Four million seven hundred fifty three thousand six hundred and twenty five.b) 700400300
• Standard Form (with commas): 700,400,300
• Number Name: Seven hundred million four hundred thousand three hundred. -
2) Write the following numerals in the International system.a) Three hundred thousands = 300,000b) 5 millions = 5,000,000
EXERCISE - 4 (Page 28 Solutions)
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1) Write the following numerals in standard form by putting commas, according to International system of numeration.a) 4528973 = 4,528,973
b) 901247381 = 901,247,381
c) 200200200 = 200,200,200 -
2) Write the number names for the following numbers in International system.a) 1,200,000 = One million two hundred thousand.b) 7,521,256 = Seven million five hundred twenty one thousand two hundred and fifty six.
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3) Answer the following questions (Fill in the blanks).a) 1 lakh = 100 thousands.
b) 1 million = 10 lakhs.
c) 1 crore = 10 millions.
d) 1 hundred million = 10 crores.
e) 1 million = 1000 thousands. -
4) Identify the place of the digit 7 in the number 672, 443, 810. ( B )A) millionsB) ten millionsC) hundred millionsD) hundred thousands
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5) One million = ________ thousands. ( C )A) 10B) 100C) 1000D) 10,000
Do These Solutions (Page 32)
Do these
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1) Write the Hindu - Arabic numbers for the Roman numerals given.a) LXXXIX
• Step: $50 + 10 + 10 + 10 + (10 - 1) = 80 + 9 = 89$
• Ans: 89b) LXV
• Step: $50 + 10 + 5 = 65$
• Ans: 65 -
2) Write the Roman numerals for the Hindu - Arabic numbers.a) 39
• Step: $30 + 9 = \text{XXX} + \text{IX}$
• Ans: XXXIXb) 92
• Step: $90 + 2 = (100 - 10) + 2 = \text{XC} + \text{II}$
• Ans: XCII
Do you Know ?
The Roman number system has unique symbols reserved for much larger quantities:
• D = 500
• M = 1000
The Roman number system has unique symbols reserved for much larger quantities:
• D = 500
• M = 1000
EXERCISE - 5 (Page 34 Solutions)
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1) The Roman numeral for 63 is ( A )A) LXIIIB) LIIIC) XLIIID) XXXIII
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2) What number does the Roman numeral LIV? ( B )A) 44B) 54C) 64D) 74
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3) Convert these Hindu - Arabic numbers into Roman numerals.a) 7 = VII
b) 78 = LXXVIII
c) 56 = LVI -
4) Convert these Roman numerals into Hindu - Arabic Numbers.a) XII = 12
b) LX = 60
c) C = 100 -
5) Use <, > or = to compare the following values.a) LIII > XLIII (53 > 43)
b) LXX < LXXX (70 < 80)
c) LXXXIII = LXXXIII (83 = 83) -
6) Circle the numeral that is miswritten in each row.a) XLV, XXXXX, XIX
• Reason: 'X' cannot be repeated more than 3 times continuously. 50 is written as L.
b) VV, XIII, XC
• Reason: Symbol 'V' (5) is never repeated. 10 is written as X. -
7) Apart from clocks and watches, write the places where we see Roman numerals.Ans:
1. Chapter numbers in textbooks and outline lists.
2. Class names/grades in schools (e.g., Class V, Class X).
3. Page numbers in preface/contents of books.
4. Monarch and Pope names (e.g., King George VI, Pope John Paul II).
5. Olympic games, Super Bowl event titles, and building cornerstones (foundation years).
Improve Your Learning (Page 36 Solutions)
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1) $40000 + \text{____} + 70 = 43070$. What should come in the blank?• $40000 + 70 = 40070$
• Missing value $= 43070 - 40070 = 3000$
• Ans: 3000 -
2) Which of these is the SMALLEST number? ( a )a) 110 ones = 110b) 40 tens = 400c) 2 hundreds = 200d) 1 thousand = 1000
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3) The distance between Kanyakumari and Srinagar is $3631\text{ km}$. Which of the following is NOT a correct expanded form of $3631$? ( a )a) $3 + 6 + 3 + 1$ (This equals 13, which is INCORRECT)b) $3\text{ thousands} + 6\text{ hundreds} + 3\text{ tens} + 1\text{ ones}$c) $(3 \times 1000) + (6 \times 100) + (3 \times 10) + (1 \times 1)$d) $3000 + 600 + 30 + 1$
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4) David holds up a card which reads $5067$. Write 'T' for true, and 'F' for false in the boxes.a) This number is an even number. [ F ] (Ends in 7, so it is odd)
b) The place value of the digit in the thousands place is $100$. [ F ] (Place value of 5 is 5000)
c) Its nearest hundred is $5100$. [ T ] (5067 rounded to hundreds is 5100)
d) Its predecessor is $5066$. [ T ] (5067 - 1 = 5066) -
5) A printing machine printed a total of $1\text{ million}$ worksheets. Write the number equal to $1\text{ million}$ in the Hindu-Arabic number system?Ans: $1\text{ million} = 10,00,000$ → 10 Lakhs (Ten Lakhs)
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6) Rohan was asked to write the number Seventy Lakhs in the International System. He wrote it as $7,000,000$ and read it as Seven Million. Write whether Rohan’s answer is correct or not and provide one reason for your answer.• Status: Rohan's answer is Correct.
• Reason: In the Hindu-Arabic system, $70\text{ Lakhs} = 70,00,000$. In the International System, placing commas after every three digits from the right gives $7,000,000$, which is read as Seven Million ($1\text{ Million} = 10\text{ Lakhs}$, so $7\text{ Million} = 70\text{ Lakhs}$). -
7) In a book the preface ends on page "xiv". Write the page number in Hindu-Arabic numbers.• $\text{xiv} = 10 + (5 - 1) = 14$
• Ans: 14 -
8) Meena and Zareena are making numbers with these digit cards: [ 4 ] [ 6 ] [ 0 ] [ 8 ] [ 1 ] [ 3 ]a) What are the greatest and smallest 6-digit numbers they can make using all these cards?
• Greatest 6-digit number: 864310
• Smallest 6-digit number: 103468 (Note: Cannot start with 0)
b) What is the place value of $3$ in the smallest number?
• Smallest number $= 10\mathbf{3}468$
• Place value of $3 = 3 \times 1000 =$ 3000 (Three thousand)
c) If the digits of the smallest number are written in reverse order, is the new number greater than, less than, or equal to the original greatest number? Show your steps.
• Smallest number $= 103468$
• Digits in reverse order $= 864301$
• Original greatest number $= 864310$
• Comparison: $864301 < 864310$
• Ans: The new number ($864301$) is less than the original greatest number ($864310$).