Question of Solved Examples

Algebra of Class 6

Question
Write the following in algebraic from: (a)        10 less than a number x (b)        5 more than thrice a number x.

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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