Topics
Roman Numerals
Number Work
Addition and Subtraction
Multiplication and Division
Fractions
Angles
Circles
Multiples and Factors
Decimal Fractions
- Decimal Fractions
- The Decimal Number System
- Concept of Tenths, Hundredths and Thousandths in Decimal
- Concept of Place Value
- Use of Decimal Fraction
- Writing Half, Quarter, Three-quarters and One and a Quarter in Decimal Form
- Addition of Decimal Fraction
- Subtraction of Decimal Fraction
- Decimals Used for Measurement
Measuring Time
Problems on Measurement
Perimeter and Area
Three Dimensional Objects and Nets
Pictographs
Patterns
Preparation for Algebra
Multiplication and Division
Multiplication and division are inverse operations, meaning if we multiply first and then divide by the same number, we return to the starting value.
Multiplication and division are two sides of the same mathematical concept of grouping and sharing.
Let's take an example to understand this relationship.
(1) A farmer brought 140 trays of chilli seedlings. Each tray had 24 seedlings. He planted all the seedlings in his field, putting 32 in a row. How many rows of chillies did he plant?
Ans: Let us find out the total number of seedlings when there were 24 seedlings in each of the 140 trays. We shall
multiply 140 and 24.
140
× 24
560
+ 2800
3360
Total number of seedlings: 3,360.
To determine how many rows were planted with 32 seedlings in each row, we shall divide 3,360 by 32.
105
`32")"overline(3360)`
– 32
016
– 00
160
– 160
000
32 seedlings in each row; we shall divide 3,360 by 32.
The quotient is 105.
Therefore, the number of rows is 105.
Carry out the multiplication of 105 × 32 and verify your answer.