Question 30 of 42advanced🔧 ApplyNumerical5 marks

During the COVID-19 pandemic, the Indian Government undertook a massive evacuation of Indians living outside the country, under a mission called Vande Bharat. In the first week, 64 flights carried 152 people each. Amala wonders how many people travelled the first week of this 'Vande Bharat Mission'. Help her find the answer. 64×15264 \times 152

Correct Answer

Given: 64×15264 \times 152

Step 1: Split 64 as 60+460 + 4 and 152 as 100+50+2100 + 50 + 2.

Step 2: Create grid:

60×100=600060 \times 100 = 6000 60×50=300060 \times 50 = 3000 60×2=12060 \times 2 = 120

Step 3:

4×100=4004 \times 100 = 400 4×50=2004 \times 50 = 200 4×2=84 \times 2 = 8

Step 4: Add all:

6000+3000+120+400+200+8=97286000 + 3000 + 120 + 400 + 200 + 8 = 9728

Answer: 9728 people travelled in the first week of the Vande Bharat Mission.

Exercise: A Day at the Transport Museum | Q: 34 | (Page Page 12-13)
For More Understanding

Explanation

The chapter shows the grid method for multiplication: 64×15264 \times 152. Split 64 as 60+460 + 4 and 152 as 100+50+2100 + 50 + 2. Calculate: 60×100=600060 \times 100 = 6000, 60×50=300060 \times 50 = 3000, 60×2=12060 \times 2 = 120, 4×100=4004 \times 100 = 400, 4×50=2004 \times 50 = 200, 4×2=84 \times 2 = 8. Total: 6000+3000+120+400+200+8=97286000 + 3000 + 120 + 400 + 200 + 8 = 9728.

Solution Steps

  1. Step 1: Split 64 as 60+460 + 4 and 152 as 100+50+2100 + 50 + 2

  2. Step 2: Create grid: 60×100=600060 \times 100 = 6000, 60×50=300060 \times 50 = 3000, 60×2=12060 \times 2 = 120

  3. Step 3: 4×100=4004 \times 100 = 400, 4×50=2004 \times 50 = 200, 4×2=84 \times 2 = 8

  4. Step 4: Add all: 6000+3000+120+400+200+8=97286000 + 3000 + 120 + 400 + 200 + 8 = 9728

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