#### Topics

##### Mathematics

##### Knowing Our Numbers

- Introduction to Knowing Our Numbers
- Comparing Numbers
- Compare Numbers in Ascending and Descending Order
- Compare Number by Forming Numbers from a Given Digits
- Compare Numbers by Shifting Digits
- Introducing a 5 Digit Number - 10,000
- Revisiting Place Value of Numbers
- Expansion Form of Numbers
- Introducing the Six Digit Number - 1,00,000
- Larger Number of Digits 7 and Above
- An Aid in Reading and Writing Large Numbers
- Using Commas in Indian and International Number System
- Round off and Estimation of Numbers
- To Estimate Sum Or Difference
- Estimating Products of Numbers
- Simplification of Expression by Using Brackets
- BODMAS - Rules for Simplifying an Expression
- Roman Numbers System and Its Application

##### Whole Numbers

- Concept for Natural Numbers
- Concept for Whole Numbers
- Successor and Predecessor of Whole Number
- Operation of Whole Numbers on Number Line
- Properties of Whole Numbers
- Closure Property of Whole Number
- Associativity Property of Whole Numbers
- Division by Zero
- Commutativity Property of Whole Number
- Distributivity Property of Whole Numbers
- Identity of Addition and Multiplication of Whole Numbers
- Patterns in Whole Numbers

##### Playing with Numbers

- Arranging the Objects in Rows and Columns
- Factors and Multiples
- Concept of Perfect Number
- Concept of Prime Numbers
- Concept of Co-prime Number
- Concept of Twin Prime Numbers
- Concept of Even and Odd Number
- Concept of Composite Number
- Concept of Sieve of Eratosthenes
- Tests for Divisibility of Numbers
- Divisibility by 10
- Divisibility by 5
- Divisibility by 2
- Divisibility by 3
- Divisibility by 6
- Divisibility by 4
- Divisibility by 8
- Divisibility by 9
- Divisibility by 11
- Common Factor
- Common Multiples
- Some More Divisibility Rules
- Prime Factorisation
- Highest Common Factor
- Lowest Common Multiple

##### Basic Geometrical Ideas

- Concept for Basic Geometrical Ideas (2 -d)
- Concept of Points
- Concept of Line
- Concept of Line Segment
- Concept of Ray
- Concept of Intersecting Lines
- Parallel Lines
- Concept of Curves
- Different Types of Curves - Closed Curve, Open Curve, Simple Curve.
- Concept of Polygons - Side, Vertex, Adjacent Sides, Adjacent Vertices and Diagonal
- Concept of Angle - Arms, Vertex, Interior and Exterior Region
- Concept of Triangles - Sides, Angles, Vertices, Interior and Exterior of Triangle
- Concept of Quadrilaterals - Sides, Adjacent Sides, Opposite Sides, Angle, Adjacent Angles and Opposite Angles
- Concept of Circle - Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles

##### Understanding Elementary Shapes

- Introduction to Understanding Elementary Shapes
- Measuring Line Segments
- Concept of Angle - Arms, Vertex, Interior and Exterior Region
- Right, Straight, and Complete Angle by Direction and Clock
- Acute, Right, Obtuse, and Reflex angles
- Measuring Angles
- Perpendicular Line and Perpendicular Bisector
- Classification of Triangles (On the Basis of Sides, and of Angles)
- Equilateral Triangle
- Isosceles Triangles
- Scalene Triangle
- Acute Angled Triangle
- Obtuse Angled Triangle
- Right Angled Triangle
- Types of Quadrilaterals
- Properties of a Square
- Properties of Rectangle
- Properties of a Parallelogram
- Properties of Rhombus
- Properties of Trapezium
- Three Dimensional Shapes
- Prism
- Concept of Pyramid

##### Integers

##### Fractions

##### Decimals

- Concept of Decimal Numbers
- Place Value in the Context of Decimal Fraction
- Concept of Tenths, Hundredths and Thousandths in Decimal
- Representing Decimals on the Number Line
- Interconversion of Fraction and Decimal
- Comparing Decimal Numbers
- Using Decimal Number as Units
- Addition of Decimal Numbers
- Subtraction of Decimals Fraction

##### Data Handling

##### Mensuration

##### Algebra

##### Ratio and Proportion

##### Symmetry

##### Practical Geometry

- Introduction to Practical Geometry
- Construction of a Circle When Its Radius is Known
- Construction of a Line Segment of a Given Length
- Constructing a Copy of a Given Line Segment
- Drawing a Perpendicular to a Line at a Point on the Line
- Drawing a Perpendicular to a Line Through a Point Not on It
- Drawing the Perpendicular Bisector of a Line Segment
- Constructing an Angle of a Given Measure
- Constructing a Copy of an Angle of Unknown Measure
- Constructing a Bisector of an Angle
- Angles of Special Measures - 30°, 45°, 60°, 90°, and 120°

- Decimals in money
- Decimals in length measurement
- Decimals in weight measurement

## Notes

**Using Decimal number as units:**

**1. Decimals in money:**

We know that 100 paise = Rs. 1.

Therefore, 1 paise = Rs. ` 1/100` = Rs. 0.01.

**2. Decimals in length measurement:**

10 millimetre(mm) = 1 centimetre(cm)

100 centimetre(cm) = 1 metre(m)

1000 millimetre(mm) = 1 metre(m)

1 Kilometr e (Km) = 1000 metre(m)

1 centimetre(cm) = `1/(100) "m" or 0.01 "m"`

**3. Decimals in weight measurement:**

We know that 1000 g = 1 kg

Therefore, 1 g = `1/(1000)` kg = 0.001 kg.

## Example

Express as rupees using decimals.

65 paise

65 paise = Rs. `65/100` = Rs. 0.65

## Example

Express as cm using decimals.

7 cm and 5 mm

7 cm and 5 mm

= 7 cm + `5/10`cm

= `7 5/10`

= 7.5 cm

## Example

Express as metres using decimals.

5 m and 875 mm

5 m and 875 mm

= 5 + `875/1000`

= `5 875/1000`

= 5.875 m.

## Example

Express as metres using decimals.

5 m and 20 cm

5 m and 20 cm

= 5 + `20/100`

= `5 20/100`

= 5.20 m

## Example

Express as kg using decimals.

2350 g

2350 g

= 2000 g + 350 g

= `2000/1000 "kg" + 350/1000 "kg"`

= 2 kg + 0.350 kg

= 2.350 kg

i.e. 2350 g = 2 kg 350 g = 2.350 kg.

#### Shaalaa.com | Using Decimal Numbers to Combine Units

##### Series: Using Decimal Numbers to Combine Units

#### Related QuestionsVIEW ALL [7]

**Money from different countries**

Shivam Bank has a chart to show us how many Indian rupees we can get when we change the money of different countries.

Country |
Money |
Changed into Indian Rupees |

Korea | Won | 0.04 |

Sri Lanka | Rupee (SL) | 0.37 |

Nepal | Rupee | 0.63 |

Hong Kong | Dollar (HK) | 5.10 |

South Africa | Rand | 5.18 |

China | Yuan | 5.50 |

U.A.E. | Dirham | 10.80 |

U.S.A | Dollar | 39.70 |

Germany | Euro | 58.30 |

England | Pound | 77.76 |

(This is the rate on 15-2-2008)

The money of which country will cost the most in Indian Rupees?