Decimal Multiplication: Place the Decimal Point in 0.2 × 0.55 = 011

Question

Given the following exercise, find the correct place of the decimal point:

0.2×0.55=011 0.2\times0.55=011

Video Solution

Step-by-Step Solution

To address this problem, we must first carry out the multiplication between 0.20.2 and 0.550.55, removing the decimals temporarily to simplify the process and then adjust for them correctly in the final product.

Step 1: Convert the decimals to whole numbers.
Rewrite 0.20.2 as 22 (by multiplying by 1010) and 0.550.55 as 5555 (by multiplying by 100100).

Step 2: Multiply these whole numbers.
Calculate 2×55=1102 \times 55 = 110.

Step 3: Determine where the decimal point should be placed in the result.
- The original number 0.20.2 has 1 decimal place.
- The original number 0.550.55 has 2 decimal places.
Thus, the total number of decimal places required is 1+2=31 + 2 = 3.

Step 4: Apply these decimal places to the product.
Move the decimal point three places from the right in 110110 to get 0.1100.110.

Therefore, the correct placement of the decimal point in the product is 0.1100.110.

Consequently, the choice corresponding to this solution is:0.1100.110

Answer

0.110 0.110