Well-designed AP 6th Class Maths Solutions Chapter 1 Knowing Our Numbers InText Questions offers step-by-step explanations to help students understand problem-solving strategies.
AP 7th Class Maths 1st Chapter Knowing Our Numbers InText Questions
Try these (Page No: 4)
Question 1.
Can you instantly find the greatest and the smallest numbers in each row?
1) 382,4972, 18,59785, 750.
Answer:
59785 is the greatest and 18 is the smallest.
2) 1473,89423, 100, 5000, 310.
Answer:
_________
3) 1834,75284, 111, 2333, 450.
Answer:
_________
4) 2853, 7691, 9999, 12002, 124.
Answer:
_________
Was that easy? Why was it easy ?
Solution:
1) 59785 is the greatest and 18 is the smallest.
2) 89423 is the greatest and 100 is the smallest.
3) 75284 is the greatest and 111 is the smallest.
4) 12002 is the greatest and 124 is the smallest.
Question 2.
Find the greatest and the smallest numbers.
a) 4536, 4892, 4370, 4452.
b) 15623, 15073, 15189, 15800.
c) 25286, 25245, 25270, 25210.
d) 6895, 23787, 24569, 24659.
Solution:
a) The greatest number is 4892.
The smallest number is 4370.
b) The greatest number is 15800.
The smallest number is 15073.
c) The greatest number is 25286.
The smallest number is 25210 .
d) The greatest number is 24659.
The smallest number is 6895.
Try these (Page No: 6)
Question 1.
Use the given digits without repetition and make the greatest and smallest 4 – digit numbers.
a) 2, 8, 7, 4
b) 9,7,4,1
c) 4,7,5,0
d) 1,7,6,2
e) 5,4,0,3
(Hint : 0754 is a 3 -digit number.)
Solution:
a) The greatest 4 – digit number = 8742.
The smallest 4 -digit number =2478.
b) The greatest 4 -digit number =9741.
The smallest 4 -digit number =1479.
c) The greatest 4 -digit number =7540.
The smallest 4 -digit number =4057.
d) The greatest 4 -digit number =7621.
The smallest 4 -digit number =1267.
e) The greatest 4 – digit number =5430.
The smallest 4 -digit number =3045.
Question 2.
Now make the greatest and the smallest 4 -digit numbers by using any one digit twice.
a) 3,8,7
b) 9,0,5
c) 0,4,9
d) 8,5,1
(Hint : Think in each case which digit will you use twice.)
Solution:
a) The greatest 4 -digit number =8873.
The smallest 4 -digit number =3378.
b) The greatest 4 -digit number =9950.
The smallest 4-digit number =5009.
c) The greatest 4 -digit number =9940.
The smallest 4 – digit number =4009.
d) The greatest 4 -digit number =8851.
The smallest 4 -digit number =1158.
Question 3.
Make the greatest and the smallest 4-digit numbers using any four different digits with conditions as given.
a) Digit 7 is always at ones place
(Note, the number cannot begin with the digit 0. Why ?)
Solution:
A number can’t start with zeros, only if this number is zero itself. For example, 001 is not a valid number, but 0 is a valid number.
Question 4.
Take two digits, say 2 and 3. Make 4-digit numbers using both the digits equal number of times.
Which is the greatest number?
Which is the smallest number?
How many different numbers can you make in all?
Solution:
3322, 3232, 3223, 2233, 2323, 2332
Greatest number is 3322.
Smallest number is 2233.
We can make 6 different numbers in all.
Try these (Page No: 8)
Question 1.
Think of five more situations where you compare three or more quantities.
Solution:
Five more situations where you compare three or more quantities are :
1) Comparing prices in the shop and on Flipkart.
2) Comparing your height to others.
3) Comparing the distance and the displacement.
5) Comparing your marks to others.
Try these (Page No: 10)
Question 1.
Arrange the following numbers in ascending order:
a) 847,9754, 8320,571
b) 9801,25751, 36501, 38802
Solution:
a) Ascending order: 571, 847, 8320, 9754.
b) Ascending order: 9801, 25751, 36501, 38802.
Question 2.
Arrange the following numbers in descending order:
a) 5000, 7500, 85400, 7861
b) 1971, 45321, 88715, 92547
Make ten such examples of ascending/descending order and solve them.
Solution:
a) Descending order :
85400, 7861, 7500, 5000.
b) Descending order :
92547, 88715, 45321, 1971
Try these (Page No. 12)
Question 1.
Read and expand the numbers wherever there are blanks.
Solution:
Question 2.
Write five more 5-digit numbers, read them and expand them.
Solution:
Try these (Page No. 14)
Question 1.
Read and expand the numbers wherever there are blanks.
Solution:
Try these (Page No: 16 )
Question 1.
1. What is 10 – 1 = ?
2. What is 100 – 1 = ?
3. What is 10,000 – 1 = ?
4. What is 1,00,000 – 1 = ?
5. What is 1,00,00,000 – 1 = ?
(Hint : Use the said pattern.)
Solution:
1. What is 10 – 1 = 9
2. What is 100 – 1 = 99
3. What is 10,000 – 1 = 9,999
4. What is 1,00,000 – 1 = 99,999
5. What is 1,00,00,000 – 1 = 9,999,999
Try these (Page No: 16)
1. Give five examples where the number of things counted would be more than 6 -digit number.
2. Starting from the greatest 6 -digit number, write the previous five numbers in descending order.
3. Starting from the smallest 8 -digit number, write the next five numbers in ascending order and read them.
Solution:
1) Number of stars in the sky.
2) Number of people in a country.
3) Number of books in a shelf.
4) Number of seconds in a year.
5) Number of people in an industry.
2. The greatest 6 -digit number: 999999
The previous five numbers in descending order : 999998, 999997, 999996, 999995, 999994
3. The smallest 8 -digit number: 10000000
The next five numbers in ascending order : 10000001,10000002,0000003,10000004, 10000005
Try these (Page No: 22)
Question 1.
Read these numbers. Write them using placement boxes and then write their expanded forms.
i) 475320
ii) 9847215
iii) 97645310
iv) 30458094
a) which is the smallest number?
b) Which is the greatest number?
c) Arrange these numbers in ascending and descending orders.
Solution:
a) The smallest number = 475320
b) The greatest number = 97645310
c) Ascending order : 475320,9847215,30458094,97645310
Descending order : 97645310,30458094,9847215,475320
Question 2.
Read these numbers.
i) 527864
ii) 95432
iii) 18950049
iv) 70002509
a) Write these numbers using placement boxes and then using commas in Indian as well as International System of Numeration.
b) Arrange these in ascending and descending order.
b) Ascending order: 95432, 527864, 18950049, 70002509.
Descending order: 70002509, 18950049, 527864, 95432.
Question 3.
Take three more groups of large numbers and do the exercise given above.
Ascending order: 5374592,64728410,490275276.
Descending order: 490275276, 64728410, 5374592.
Try these (Page No: 22)
Question 1.
You have the following digits 4,5,6,0,7 and 8 . Using them, make five numbers each with 6 digits.
a) Put commas for easy reading.
b) Arrange them in ascending and descending order.
Solution:
Using the digits 4,5,6,0,7 and 9, we consider the following five numbers of 6 digits.
i) 876540
ii) 786540
iii) 645078
iv) 547086
v) 487650
a) Commas:
i) 876540 = 8,76,540
ii) 786540 = 7,86,540
iii) 645078 = 6,45,078
iv) 547086 = 5,47,086
v) 487650 = 4,87,650
b) Ascending order : 487650, 547086, 645078, 786540, 876540
Descending order : 876540, 786540, 645078, 547086, 487650
Question 2.
Take the digits 4,5,6,7,8 and 9. Make any three numbers each with 8 diglts. Put commas for easy reading.
Solution:
Using the digits 4,5,6,7,8 and 9 , we consider the following three numbers of 8 digits.
i) 98765454
ii) 45678989
iii) 67894567
Commas:
i) 98765454 = 9,87,65,454
ii) 45678989 = 4,56,78,989
iii) 67894567 = 6,78,94,567
Question 3.
From the digits 3,0 and 4, make five numbers each with 6 digits. Use commas.
Solution:
Using the digits 3,0 and 4, we consider the following five numbers of 6 digits.
i) 430430
ii) 443300
iii) 304304
iv) 403304
v) 400343
Commas :
i) 430430 = 4,30,430
ii) 443300 = 4,43,300
iii) 304304 = 3,04,304
iv) 403304 = 4,03,304
v) 400343 = 4,00, 343
Try these (Page No: 24)
Question 1.
How many centimetres make a kilometre?
Solution:
1,00,000 centimetres = 1 kilometre.
Question 2.
Name five large cities in India. Find their population. Also, find the distance in kilometres between each pair of these cities.
Solution:
Five large cities in India are :
i) Mumbai
ii) Delhi
iii) Bangalore
iv) Kolkata
v) Chennai
Population :
i) Mumbai – 1,26,91,836
ii) Delhi – 1,09,27,986
iii) Bangalore – 51,04,047
iv) Kolkata – 46,31,392
v) Chennai – 43,28,063
Distance :
i) Distance between Mumbai to Delhi = 1,434 km
ii) Distance between Delhi to Bangalore = 2,174 km
iii) Distance between Bangalore to Kolkata = 1,867 km
iv) Distance between Kolkata to Chennai = 1,663 km
Try these (Page No: 26)
Question 1.
How many milligrams make one kilogram?
Solution:
10,00,000 milligrams = 1 kilogram.
Question 2.
A box contains 2,00,000 medicine tablets each weighing 20 mg. What is the total weight of all the tablets in the box in grams and in kilograms?
Solution:
Number of medicine tablets = 2,00,000
Weight of each tablet = 20 mg
∴ Weight of 2,00,000 tablets
= 20 × 2,00,000 mg
= 40,00,000 mg
= 4 kilograms (∵ 10,00,000 mg = kg)
Try these (Page No: 26)
Question 1.
A bus started its journey and reached different places with a speed of 60 km/hour.
i) Find the total distance covered by the bus from A to D.
ii) Find the total distance covered by the bus from D to G.
iii) Find the total distance covered by the bus, if it starts from A and returns back to A.
iv) Can you find the difference of distances from C to D and D to E?
v) Find out the time taken by the bus to reach.
a) A to B
b) C to D
c) E to G
d) Total journey
Solution:
i) Total distance covered by the bus from A to D = 4170 km + 3410 km + 2160 km = 9740 km
ii) Total distance covered by the bus from D to G = 8140 km + 4830 km + 2550 km = 15520 km
iii) Total distance covered by the bus, if it starts from A and return back to A = 4170 km + 3410 km + 2160 km + 8140 km + 4830 km + 2550 km + 1290 km = 26550 km.
iv) Distance from C to D = 2160 km
Distance from D to E = 8140 km
Difference = 8140 km – 2160 km = 5980 km.
v) a) Time taken by the bus to reach A to B
b) Time taken by the bus to reach C to D
c) Time taken by the bus to reach E to G
d) Time taken by the bus for the total journey
Question 2.
a) Can you find the total weight of apples and oranges Raman sold last year?
Weight of apples = _________kg
Weight of oranges = _________ kg
Therefore, total weight = _________kg
+ _________ kg = _________kg
b) Can you find the total money Raman got by selling apples ?
c) Can you find the total money Raman got by selling apples-and oranges together?
d) Make a table showing how much money Raman received from selling each item. Arrange the entries of amount of money received in descending order. Find the item which brought him the highest amount. How much is this amount?
Solution:
a) Weight of apples = 2457 kg
Weight of oranges = 3004 kg
Therefore, total weight = 2457 kg + 3004 kg = 5461 kg
b) Total Money Raman got by Selling
apples = 2457 kg × ₹ 40[∵ 1 kg = ₹ 40] = ₹ 98,280
c) Total money = selling apples + selling oranges
= 98280 + 3004 kg × ₹ 30
= 98280 + 90120 = ₹ 1,88,400
d) Money received from sales
= Cost per unit × Quantity = Total cost
I) Total Cost of 2457 kg Apple = 40 × 2457 =₹ 98,280
Total Cost of 3004 kg Oranges = 30 × 3004 = ₹ 90,120
Total Cost of 22760 Combs = 3 × 22760 = ₹ 68,280
Total Cost of 25367 Tooth Brushes = 10 × 25367 = ₹ 2,53,670
Total Cost of 38530 Pencils = 1 × 38530 = ₹ 38,530
Total Cost of 40002 Note books = 6 × 40002 = ₹ 2,40,012
Total Cost of 20005 Soap Cakes = 8 × 20005 = ₹ 1,60,040
II) Arranging sales amount wise in descending order:
a) Tooth brushes – ₹ 2,53,670.00
b) Note books – ₹ 2,40,012.00
c) Soap cakes – ₹ 1,60,040.00
d) Apples – ₹ 98,280,00
e) Oranges – ₹90,120,00
f) Combs – ₹68,280.00
g) Pencils – ₹38,530.00
1st table show sales data.
IInd table show sales data in descending order.
So, “Tooth Brushes brought him the highest amount of ₹ 2,53,670.00.