Question 25 of 42intermediate🔍 AnalyzeNumerical4 marks

Share what you notice about the answers to these problems.

11×100=_____11 \times 100 = \_\_\_\_\_ 22×100=_____22 \times 100 = \_\_\_\_\_ 11×200=_____11 \times 200 = \_\_\_\_\_ 22×200=_____22 \times 200 = \_\_\_\_\_
Correct Answer
11×100=110011 \times 100 = 1100 22×100=220022 \times 100 = 2200 11×200=220011 \times 200 = 2200 22×200=440022 \times 200 = 4400

Pattern noticed: 22×100=11×200=220022 \times 100 = 11 \times 200 = 2200. When we double the multiplier (from 11 to 22) and keep the multiplicand same (100), the answer doubles. When we double the multiplicand (from 100 to 200) and keep the multiplier same (11), the answer also doubles.

Exercise: Multiples of 100 | Q: 29 | (Page Page 11)
For More Understanding

Explanation

The chapter shows relationships between multiplication problems. 22×100=2×(11×100)=220022 \times 100 = 2 \times (11 \times 100) = 2200. Similarly, 11×200=11×2×100=220011 \times 200 = 11 \times 2 \times 100 = 2200. Doubling either factor doubles the product.

Solution Steps

  1. Step 1: Calculate 11×100=110011 \times 100 = 1100

  2. Step 2: Calculate 22×100=220022 \times 100 = 2200 (double of 1100)

  3. Step 3: Calculate 11×200=220011 \times 200 = 2200 (also double of 1100)

  4. Step 4: Calculate 22×200=440022 \times 200 = 4400 (double of 2200)

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