My Cart
Your Cart 0

    Your cart is empty.

  • Total (Amount) ₹0.00
NCERT Exemplar · Class 6 · Maths

Chapter 1: Number System

Practice each question, then open the answer or worked solution.

Questions

100 questions
Q41Written answer

5555 = 5 × 1000 + 5 × 100 + 5 × 10 + 5 × 1

Show solutionHide solution
Worked solution

Solution:-

True.

Left Hand Side = 5555

Right Hand Side = 5 × 1000 + 5 × 100 + 5 × 10 + 5 × 1

= 5000 + 500 + 50 + 5

= 5555

Left Hand Side = Right Hand Side

Q42Written answer

39746 = 3 × 10000 + 9 × 1000 + 7 × 100 + 4 × 10 + 6

Show solutionHide solution
Worked solution

Solution:-

True.

Left Hand Side = 39746

Right Hand Side = 3 × 10000 + 9 × 1000 + 7 × 100 + 4 × 10 + 6

= 30000 + 9000 + 700 + 40 + 6

= 39746

Left Hand Side = Right Hand Side

Q43Written answer

82546 = 8 × 1000 + 2 × 1000 + 5 × 100 + 4 × 10 + 6

Show solutionHide solution
Worked solution

Solution:-

False.

Left Hand Side = 82546

Right Hand Side = 8 × 1000 + 2 × 1000 + 5 × 100 + 4 × 10 + 6

= 8000 + 2000 + 500 + 40 + 6

= 10,546

Left Hand Side ≠ Right Hand Side

Q44Written answer

532235 = 5 × 100000 + 3 × 10000 + 2 × 1000 + 2 × 100 + 3 × 10 + 5

Show solutionHide solution
Worked solution

Solution:-

True.

Left Hand Side = 532235

Right Hand Side = 5 × 100000 + 3 × 10000 + 2 × 1000 + 2 × 100 + 3 × 10 + 5

= 5,00,000 + 30,000 + 2000 + 200 + 30 + 5

= 5,32,235

Left Hand Side = Right Hand Side

Q45Written answer

XXIX = 31

Show solutionHide solution
Worked solution

Solution:-

False.

Where, X = 10

IX = 9

So, XXIX = 10 + 10 + 9

= 29

Q46Written answer

LXXIV = 74

Show solutionHide solution
Worked solution

Solution:-

True.

Where, L = 50

X = 10

IV = 4

So, LXXIV = 50 + 10 + 10 + 4

= 74

Q47Written answer

The number LIV is greater than LVI.

Show solutionHide solution
Worked solution

Solution:-

False.

Where, L = 50

IV = 4

VI = 6

So, LIV = 50 + 4 = 54

LVI = 50 + 6

Therefore, 54 < 56

Hence, LIV < LVI

Q48Written answer

The numbers 4578, 4587, 5478, 5487 are in descending order.

Show solutionHide solution
Worked solution

Solution:-

False.

In the question, the arrangement of the numbers in ascending order.

Descending order of the given number = 5487, 5478, 4587, 4578.

Q49Written answer

The number 85764 rounded off to nearest hundreds is written as 85700.

Show solutionHide solution
Worked solution

Solution:-

False.

The number 85764 rounded off to nearest hundreds is written as 85800.

Q50Written answer

Estimated sum of 7826 and 12469 rounded off to hundreds is 20,000.

Show solutionHide solution
Worked solution

Solution:-

True.

The number 7826 rounded off to nearest hundreds is written as 7800.

The number 12469 rounded off to nearest hundreds is written as 12500

So, sum of numbers after rounded off to hundreds = 7800 + 12500 = 20,300

Therefore, 20,300 is nearest to 20,000.