Numbers are the basic unit of mathematics. A number system is a writing system for expressing numbers. Do you want to know how things are measured, counted or compared? Let's find out!

Indian Place Value System

Maths class 5 Number sense Roman Numerals

 

1000000, 10000000, 100000000 lead to new places called ten lakhs, crore and ten crore, respectively.

Expanded Form

  1. Let us consider a number 123.
  2. The number can be written as: (1X100)+(2x10)+(3x1)

That is, 1 is at hundreds' position, two is at tens' position and 3 is at ones' position. If we put it in ones' period we get:

One’s Period

   

Hundreds

 

Ones

1

0

0

 

2

0

   

3

Hence, the number in expanded form is one hundred and twenty-three.

Example 1: Write the number 2398257 in words.

Answer: Twenty-three lakhs ninety-eight thousand fifty-seven.

Example 2: Write the number name 'thirty crores fifty-four lakhs eighty-seven thousand two hundred sixty-one in figure.

Answer:

Ten

Crores

Crores

Ten Lakhs

Lakhs

Ten

Thousand

Thousand

Hundred

Tens

Ones

Number

3

0

5

4

8

7

2

6

1

305487261

The International Place Value System

In International Place Value System, the digits are read from left to right. That is billions...,millions..., thousand...

Maths class 5 Number sense Roman Numerals

Example 1: Write fifty-five million sixty-four thousand forty nine in figures.

Answer: 55,064,049

Example 2: Write 23,467,854 in expanded form.

Answer: Twenty-Three Million, Four Hundred and Sixty-Seven Thousand, Eight Hundred and Fifty Four.


Roman Numerals

Maths class 5 Number sense Roman Numerals

Maths class 5 Number sense Roman Numerals

 

  1. You can subtract only one number. You can't get a 3 by writing IIV.

Example 1: What is the Roman Numeral for 33?

Answer: XXXIII

Example 2: What does the Roman Numeral LXXIV represent?

Answer: 74

Maths class 5 Number sense Roman Numerals

Practice These Questions

  1. Write the following in figures in the International system:
  2. four thousand, two hundred and ten
  3. Thirty-one thousand, four hundred and twelve
  4. Two hundred and forty-four thousand, three hundred and one
  5. Three million, two hundred and twenty-one thousand, two hundred and fifteen
  6. Fifty-four million, one hundred and eleven thousand, three hundred and sixty-two
  7. Two hundred and fourteen million, two hundred and seventy-two thousand, seven hundred and eleven
  8. Write the following in expanded form in Indian Place Value System (i) 76589342; (ii)65286456; (iii)84257834
  9. Read the Roman Numeral Dial and write the time

Maths class 5 Number sense Roman Numerals

 

 

  1. Draw the hours and minutes hand in the roman numeral clock.
    a)1:55 b)3:05 c)6:30

Maths class 5 Number sense Roman Numerals

Recap

  1. The first period, called ones’ period, is formed with the first 3 digits of the number.
  2. The second period, called thousands period, is formed with the next 3 digits of the number.

The third period, called millions period, is formed with the digits after thousands

  1. A Roman Numeral can't be repeated more than three times.
  2. V, D, and L are never subtracted
  3. There is no symbol for zero and no place value in Roman Numerals.