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1 of 12
DECIMAL
NUMBERS
 Kavitha went to shopping to buy clothes for her family and she came
 to the cash counter to pay the bill
 In the bill the price of watches is represented by 299.00 and the price of socks
is 32.99
 The numbers 299.00 and 32.99 are known as decimal numbers
DECIMAL NUMBERS
A decimal is a fraction written in a special form.
DECIMAL
LATIN WORD
DECIMUS
TENTH
PARTS OF DECIMAL NUMBERS
45 . 99
WHOLE PART
OR
INTEGRAL
PART
DECIMAL
POINT
DECIMAL
PART
PICTORIAL REPRESENTATION OF DECIMAL
NUMBERS
 The decimal number 12.2 can be represented pictorially as follows:
 The whole part 12 is represented by 12 boxes which is depicted by 10 boxes which comes
under tens place and then two boxes which comes under ones place
 again one box according to place value
 The decimal part 2 is represented by sheets of 2
• This is read as 10 tens 2 ones and 2 tenths.
• This shaded region can be expressed in fraction
form as 1 in which the denominator can be
5
converted into powers of 10 and represented into
decimal form as 0.2
EXPANDED FORM OF A NUMBER AND
DECIMAL NUMBER
NUMBERS
3768
The number can be expanded in the form
3 x 1000 + 7 x 100 + 6 x 10 + 8
DECIMAL NUMBERS
235.68
The number can be expanded in the form
2 x 100 + 3 x 10 + 5 x 1 + 6×
1
10
+ 8 ×
1
100
REPRESENTATION
OF A NUMBER IN
PLACE VALUE GRID
Thousands Hundreds Tens Ones
3 7 6 8
3768
REPRESENTATION OF
DECIMAL NUMBERS IN
PLACE VALUE GRID
Tens Ones Tenths
2 5 6
25.6
SUMMARY
• Decimal is derived from the latin word ‘decimus’ which means tenth
• Decimal number has three parts whole number, decimal point and decimal part
• Fraction can be converted into decimals by converting the denominator inton powers of 10
• The number after the decimal point in the place value is read as tenth, hundredth and
thousandth
ACTIVITIES
1. Represent the decimal numbers pictorially 5 ones and 3 tenths
2. Write the place value of underlined digits 35.677
3. Write the decimal number in the place value grid 9.675
4. Collect pictures of bills and paste in the notebook
5. Name the parts of decimal numbers
decimals.pptx

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decimals.pptx

  • 2.  Kavitha went to shopping to buy clothes for her family and she came  to the cash counter to pay the bill  In the bill the price of watches is represented by 299.00 and the price of socks is 32.99  The numbers 299.00 and 32.99 are known as decimal numbers
  • 3. DECIMAL NUMBERS A decimal is a fraction written in a special form. DECIMAL LATIN WORD DECIMUS TENTH
  • 4. PARTS OF DECIMAL NUMBERS 45 . 99 WHOLE PART OR INTEGRAL PART DECIMAL POINT DECIMAL PART
  • 5. PICTORIAL REPRESENTATION OF DECIMAL NUMBERS  The decimal number 12.2 can be represented pictorially as follows:  The whole part 12 is represented by 12 boxes which is depicted by 10 boxes which comes under tens place and then two boxes which comes under ones place  again one box according to place value  The decimal part 2 is represented by sheets of 2 • This is read as 10 tens 2 ones and 2 tenths.
  • 6. • This shaded region can be expressed in fraction form as 1 in which the denominator can be 5 converted into powers of 10 and represented into decimal form as 0.2
  • 7. EXPANDED FORM OF A NUMBER AND DECIMAL NUMBER NUMBERS 3768 The number can be expanded in the form 3 x 1000 + 7 x 100 + 6 x 10 + 8 DECIMAL NUMBERS 235.68 The number can be expanded in the form 2 x 100 + 3 x 10 + 5 x 1 + 6× 1 10 + 8 × 1 100
  • 8. REPRESENTATION OF A NUMBER IN PLACE VALUE GRID Thousands Hundreds Tens Ones 3 7 6 8 3768
  • 9. REPRESENTATION OF DECIMAL NUMBERS IN PLACE VALUE GRID Tens Ones Tenths 2 5 6 25.6
  • 10. SUMMARY • Decimal is derived from the latin word ‘decimus’ which means tenth • Decimal number has three parts whole number, decimal point and decimal part • Fraction can be converted into decimals by converting the denominator inton powers of 10 • The number after the decimal point in the place value is read as tenth, hundredth and thousandth
  • 11. ACTIVITIES 1. Represent the decimal numbers pictorially 5 ones and 3 tenths 2. Write the place value of underlined digits 35.677 3. Write the decimal number in the place value grid 9.675 4. Collect pictures of bills and paste in the notebook 5. Name the parts of decimal numbers