Page 40 - MathGPT_V1.0_C5

D:\Surender Prajapati\Books Final_CBSE and ICSE\ICSE\Preparatory_Stage_Maths-5_(31-10-2023)\Open_Files\CHAP_02
\\November 3, 2023 10:57 AM Surender Prajapati Proof 5 Reader _________________________ Date: ___________________74

(b) Step 1: Expand the multiplier.

2315 = 2000 + 300 + 10 + 5
Step 2: Multiply by the ones.

4567 × 5 = 22835 C TL L TTh Th H T O
Step 3: Multiply by the tens. 4 5 6 7 2000 + 300

4567 × 10 = 45670 × 2 2 3 1 5 + 10 + 5
2 8 3 5
Step 4: Multiply by the hundreds. 4 5 6 7 0 4567 × 5
4567 × 10
4567 × 300 = 1370100 1 3 7 0 1 0 0 4567 × 300

Step 5: Multiply by the thousands. + 9 1 3 4 0 0 0 4567 × 2000
4567 × 2000 = 9134000 1 0 5 7 2 6 0 5

Step 6: Add all the partial products.
22835 + 45670 + 1370100 + 9134000 = 10572605

Thus, 4567 × 2315 = 10572605

Example 3: Factory produces 8754 LED bulbs in a day. How many LED bulbs will be
produced in a year by the factory?
Solution: Number of LED bulbs produced in a day = 8754 TL L TTh Th H T O

Number of LED bulbs will be produced in a year 8 7 5 4
= 8754 × 365 × 3 6 5

Thus, the factory will produce 3195210 LED bulbs in 5 4 3 7 7 0
2
5 2 4 0
a year. + 2 6 2 6 2 0 0
3 1 9 5 2 1 0

Example 4: A godown has 10359 maize sacks. If each sack contains 175 kg of maize, then
what quantity of maize is in all the sacks?
Solution: Number of maize sacks in the godown = 10359 TL L TTh Th H T O
Weight of one sack of maize = 175 kg 1 0 3 5 9

Therefore, the total weight of maize = (10359 × 175) kg × 1 7 5
= 1812825 kg 5 1 7 9 5

Thus, the total weight of maize = 1812825 kg 7 2 5 1 3 0
+ 1 0 3 5 9 0 0
1 8 1 2 8 2 5
Properties of Multiplication

1. Numbers can be multiplied in any order. The product will remain the same. It is called
order property of multiplication.

Example: 3354 × 6 = 6 × 3354 = 20124
2. When a number is multiplied by 1, the product is the number itself.

Example: 7824 × 1 = 7824 and 9878 × 1 = 9878

38 Mathematics-5