Connect Discover 1.1 (Page 12) Solutions
Q1. Fill in the blanks:
- a. 1 Arab contains 9number of zeros.
- b. There are 3number of places in billions period.
- c. 10 lakh is same as 1million.
- d. Place value and face value of zero is always 0.
- e. There are 2places in crores period.
Q2. Write in figures:
- a. Four arab three crore sixty-three lakh seventy-one thousand one hundred eighteen
Ans: 4,03,63,71,118 - b. Five hundred eighteen million twenty thousand one hundred forty-five
Ans: 518,020,145 - c. Eighteen crore six lakh five hundred four
Ans: 18,06,00,504 - d. Fifty-five crore thirty-two lakh three thousand twenty-five
Ans: 55,32,03,025 - e. Twenty-two billion five hundred two million eight hundred thirty-six
Ans: 22,502,836,000 - f. Four hundred three billion two hundred thirty-seven million two
Ans: 403,237,000,002
Q3. Place the comma and write the number names according to the Indian number system:
a. 34981572
Commas: 3,49,81,572
Number Name: Three crore forty-nine lakh eighty-one thousand five hundred seventy-two.
b. 10054804
Commas: 1,00,54,804
Number Name: One crore fifty-four thousand eight hundred four.
c. 843501
Commas: 8,43,501
Number Name: Eight lakh forty-three thousand five hundred one.
d. 6849557420
Commas: 6,84,95,57,420
Number Name: Six arab eighty-four crore ninety-five lakh fifty-seven thousand four hundred twenty.
Q4. Place the comma and write the number names according to the International number system:
a. 5000000000
Commas: 5,000,000,000
Number Name: Five billion.
b. 714050400804
Commas: 714,050,400,804
Number Name: Seven hundred fourteen billion fifty million four hundred thousand eight hundred four.
c. 2374688
Commas: 2,374,688
Number Name: Two million three hundred seventy-four thousand six hundred eighty-eight.
d. 10715480000
Commas: 10,715,480,000
Number Name: Ten billion seven hundred fifteen million four hundred eighty thousand.
Q5. Find the place value and face value of highlighted digits as per Indian number system:
| Number | Digit | Place Value | Face Value |
|---|---|---|---|
| a. 9,18,27,36,450 | 1 | 10,00,00,000 | 1 |
| b. 14,29,04,057 | 9 | 9,00,000 | 9 |
| c. 24,02,94,515 | 9 | 90,000 | 9 |
| d. 1,67,11,00,607 | 6 | 60,00,00,000 | 6 |
| e. 5,88,61,006 | 8 | 80,00,000 | 8 |
Q6. Write the standard form for the following:
a. 10,00,00,000 + 2,00,00,000 + 50,00,000 + 9,00,000 + 70,000 + 7,000 + 300 + 40 + 1
Ans: 12,59,77,341
b. 5,00,00,000 + 9,00,000 + 10,000 + 4,000 + 100 + 30 + 3
Ans: 5,09,14,133
c. 2,00,00,00,000 + 10,00,00,000 + 30,00,000 + 1,00,000 + 100 + 90 + 1
Ans: 2,10,31,00,191
d. 4,00,00,000 + 40,00,000 + 40,000 + 40
Ans: 4,40,40,040
e. 30,00,00,00,000 + 1,00,00,00,000 + 20,000 + 4,000 + 600 + 30
Ans: 31,00,00,24,630
Q7. Write the given numbers in expanded form:
a. 13,78,01,280
Ans: 10,00,00,000 + 3,00,00,000 + 70,00,000 + 8,00,000 + 1,000 + 200 + 80
b. 6,88,37,001
Ans: 6,00,00,000 + 80,00,000 + 8,00,000 + 30,000 + 7,000 + 1
c. 9,10,50,00,130
Ans: 9,00,00,00,000 + 10,00,00,000 + 50,00,000 + 100 + 30
d. 5,02,91,27,008
Ans: 5,00,00,00,000 + 2,00,00,000 + 90,00,000 + 1,00,00,000 + 20,000 + 7,000 + 8
Q8. Find the sum of place values of all the even numbers in 34,97,21,481:
Sol: Given number = 34,97,21,481
Even numbers inside are: 4, 2, 4, 8
– Place value of 4 (crores place) = 4,00,00,000
– Place value of 2 (lakhs place) = 2,00,000
– Place value of 4 (hundreds place) = 400
– Place value of 8 (tens place) = 80
Total Sum: 4,00,00,000 + 2,00,00,000 + 400 + 80 = 4,02,00,480
Q9. Find the difference of the place value of 5 in 8,37,51,57,004:
Sol: Given number = 8,37,51,57,004
– First 5 (ten lakhs place) = 50,00,000
– Second 5 (ten thousands place) = 50,000
Difference: 50,00,000 – 50,000 = 49,50,000