Students often refer to Class 5 Maths Notes and Chapter 6 The Dairy Farm Class 5 Notes during last-minute revisions.
Class 5 Maths Chapter 6 Notes The Dairy Farm
Class 5 Maths Notes Chapter 6 – Class 5 The Dairy Farm Notes
→ Multiplication is a fundamental mathematical operation. In a multiplication expression, the numbers being multiplied are called factors, and the result is called the product.
→ In a multiplication sentence, the number to be multiplied is called the multiplicand, and the number by which it is multiplied is called the multiplier. The answer is called the product.
→ Multiplication sentence: Multiplier × Multiplicand = Product
→ Multiplication can also be visualized as having a certain number of groups, each with the same number of items.
→ Numbers can be multiplied in any order. The product will remain the same. It is called order property of multiplication.
→ When a number is multiplied by 1, the product is the number itself.
→ When a number is multiplied by 0, the product is always 0.
→ The product of three numbers does not change when the grouping of numbers is changed.
→ If a sum or a difference of two numbers is multiplied by another number, they can be multiplied separately and then added or subtracted.
→ To get the product of a number with another number which has zeros at the end, we first multiply the two numbers (without the zeros). Then, count the number of zeros and place that number of zeros with the product so obtained.
→The product of a number multiplied by the sum of two numbers is the same as the sum of the products of that number with the two numbers separately.
Multiplication
→ Multiplication is a process of repeated addition. e.g. 4 × 2 = 8
Key Terms of Multiplication
- Multiplicand The number being multiplied. e.g. In 6 × 7,6, is the multiplicand.
- Multiplier The number of times the multiplicand is added. e.g. In 6 × 7,7 is the multiplier.
- Product The result of multiplication. e.g. 6 × 7 = 42. Here, 42 is the product of 6 and 7.
Multiplication Strategies
→ Multiplying by 10, 100 and 1000
Rule
- Multiply by 10 → add one zero. e.g. 4 × 10=40.
- Multiply by 100 → add two zeros. e.g. 6 × 100 = 600.
- Multiply by 1000 → add three zeros. e.g. 2 × 1000 = 2000.
→ Halving and Doubling Adjust number to simplify multiplication.
e.g.
→ Nearest Multiple Round off the numbers to the nearest multiple of 10 , then adjust. e.g. 4 × 19 = 4 × (20-1) = 4 × 20 – 4 × 1 = 80 – 4 = 76