Question 24 of 42intermediate💡 UnderstandNumerical2 marks

Let us find 11×20011 \times 200

11×200=10×200 and 1×200=2000+200=220011 \times 200 = 10 \times 200 \text{ and } 1 \times 200 = 2000 + 200 = 2200 11×200=11×100 and 11×100=1100+1100=220011 \times 200 = 11 \times 100 \text{ and } 11 \times 100 = 1100 + 1100 = 2200 11×200=11×2 Hundreds=22 Hundreds=220011 \times 200 = 11 \times 2 \text{ Hundreds} = 22 \text{ Hundreds} = 2200
Correct Answer

Method 1: Split 11 as 10+110 + 1

11×200=10×200+1×20011 \times 200 = 10 \times 200 + 1 \times 200 =2000+200= 2000 + 200 =2200= 2200

Method 2: Split 200 as 100+100100 + 100

11×200=11×100+11×10011 \times 200 = 11 \times 100 + 11 \times 100 =1100+1100= 1100 + 1100 =2200= 2200

Method 3: Express 200 as 2 Hundreds

11×200=11×2 Hundreds11 \times 200 = 11 \times 2 \text{ Hundreds} =22 Hundreds= 22 \text{ Hundreds} =2200= 2200

Answer: 11×200=220011 \times 200 = \mathbf{2200}

Exercise: Multiples of 100 | Q: 28 | (Page Page 11)
For More Understanding

Explanation

The chapter demonstrates three different methods to multiply by 200: (1) Split into 10×200+1×20010 \times 200 + 1 \times 200, (2) Split into 11×100+11×10011 \times 100 + 11 \times 100, (3) Use the hundreds language: 11×211 \times 2 Hundreds =22= 22 Hundreds =2200= 2200.

Solution Steps

  1. Step 1: Method 1 - Split 11 as 10+110 + 1

  2. Step 2: Method 2 - Split 200 as 100+100100 + 100

  3. Step 3: Method 3 - Express 200 as 2 Hundreds

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