Question of Solved Examples

Playing With Numbers of Class 6

Question
A milk man has two cans of 40 and 60 litres full of milk. Find the maximum capacity of that pot by which milkman can measure milk of both cans when used in exact number of times.

Frequently Asked Questions

Express each number as a product of its prime factors

(i) 140

(ii) 156

(iii) 3825

(iv) 5005

(v) 7429

Solution:

Explanation:

Let use the prime factorization method to prime factorize the provided numbers, then multiply the prime numbers to get the product of the prime numbers.

(i) Prime factorization of 

140 = 2x2x5x7

       = 22x5x7

(ii) Prime factorization of 

156 = 2x2x3x13

       = 22x5x7

(iii) Prime factorization of 

3825 = 3x3x5x5x17

         = 32x52x17

(iv) Prime factorization of 

5005 = 5x7x11x13

(v) Prime factorization of 

7429 = 17x19x23

Final Answer:

(i) 140 = 22x5x7

(ii) 156 = 22x3x13

(iii) 3825 = 32x52x17

(iv) 5005 = 5x7x11x13

(v) 7429 = 17x19x23

If a number reads Eleven lakh seventy thousand six hundred seven

Find the missing digit. 11,70,_07

A: 3

B: 6

C: 2

D: 5

Solution:

Explanation:

Let's do the following to convert the supplied number from words to numbers:

Seventy thousand = 70,000

Eleven lakh = 11,00,000

Six hundred = 600

Seven = 7

Now, as indicated below, add the numerals:

11,00,000 + 70,000 + 600 + 7 = 1170607

As a result, the necessary number is 11,706,607.

Correct Option is: (B)

Final Answer:

Hence, in 70, —7 the missing digit is 6.

Write down, in figures, seventeen thousand and seventeen

Solution:

Explanation:

Seventeen thousand = 17,000

Seventeen = 17

As a result, seventeen thousand and seventeen is 17,017.

Final Answer:

In figures, seventeen thousand and seventeen is 17,017.

The number 826315269 can be written in International system of numeration as

A: Eight hundred twenty six million three hundred fifteen thousand two hundred sixty nine

B: Eighty two crore sixty three lakh fifteen thousand two hundred and sixty nine

C: Eight two six lakh three one thousand fifty two hundred sixty nine

D: None of these

Solution:

Correct Option is: (A) Eight hundred twenty six million three hundred fifteen thousand two hundred sixty nine

Explanation:

  • In the International System of Numeration, as it is being used we have ones, tens, hundreds, thousands and then millions. 
  • One million is a thousand thousands. 
  • Commas are used to mark thousands and millions. 
  • It comes after every three digits from the right.
  • The first comma marks thousands and the next comma marks millions.
  • The number given is .
  • It is written in the International System as  i.e., Eight hundred twenty six million three hundred fifteen thousand two hundred sixty nine.

Fractions with the same denominator are called fractions.

Solution:

Explanation:

  • When the denominator is same in any two or more fractions then fraction are called like fraction.

Final Answer:

Hence, fractions with the same denominator are called like fractions.

 

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