Decimal Numbers Learning Objectives
1. The need of decimal numbers: For expression in communication, for ease of calculation in addition and subtraction and for significant digits
2. Parts of a decimal numbers: whole number part and decimal part
3. Decimal places: a number can have one, two, three or more decimal places
4. Like Decimals: Decimal numbers having the same number of decimal places
5. Unlike Decimals: Decimal numbers not having the same number of decimal places
6. Annexing zeros to the extreme right of the decimal part of a decimal does not change it value. For e.g 1.3, 1.30, 1.300 have the same value.
7. Conversion of Unlike decimal to Like decimals: By annexing(placing) required number of zeros to the extreme right of the decimal parts
8. Writing decimal number in expanded form:
9. Ordering of decimal numbers/Comparison of decimal numbers
10. Addition of Decimals
11. Subtraction of Decimals
12. Multiplication of Decimals (Decimal number by whole number, Decimal number by 10, 100 and 1000, Multiplication of two or Decimals)
13. Division of Decimals (Dividing by 10, 100 1000 etc, Dividing a decimal by a whole number, dividing a decimal by a decimal)
14. Simplification of Decimal expressions using BODMAS
15. Simplification using Formulae :
(a + b)2 = a2 + b2 + 2ab (a - b)2 = a2 + b2 - 2ab
(a2 - b2) = (a + b) (a - b) (a3 + b3) = (a + b) (a2 - ab + b2)
(a3 - b3) = (a - b) (a2 + ab + b2)
1. The need of decimal numbers: For expression in communication, for ease of calculation in addition and subtraction and for significant digits
2. Parts of a decimal numbers: whole number part and decimal part
3. Decimal places: a number can have one, two, three or more decimal places
4. Like Decimals: Decimal numbers having the same number of decimal places
5. Unlike Decimals: Decimal numbers not having the same number of decimal places
6. Annexing zeros to the extreme right of the decimal part of a decimal does not change it value. For e.g 1.3, 1.30, 1.300 have the same value.
7. Conversion of Unlike decimal to Like decimals: By annexing(placing) required number of zeros to the extreme right of the decimal parts
8. Writing decimal number in expanded form:
9. Ordering of decimal numbers/Comparison of decimal numbers
10. Addition of Decimals
11. Subtraction of Decimals
12. Multiplication of Decimals (Decimal number by whole number, Decimal number by 10, 100 and 1000, Multiplication of two or Decimals)
13. Division of Decimals (Dividing by 10, 100 1000 etc, Dividing a decimal by a whole number, dividing a decimal by a decimal)
14. Simplification of Decimal expressions using BODMAS
15. Simplification using Formulae :
(a + b)2 = a2 + b2 + 2ab (a - b)2 = a2 + b2 - 2ab
(a2 - b2) = (a + b) (a - b) (a3 + b3) = (a + b) (a2 - ab + b2)
(a3 - b3) = (a - b) (a2 + ab + b2)