Solve the Decimal Division: 1.100 ÷ 100 Step by Step

To solve this problem, we'll follow these steps:

• Step 1: Understand the concept of dividing by 100
• Step 2: Apply this concept to 1.100 by moving the decimal point two places to the left
• Step 3: Verify the final answer against the choices provided

Now, let's work through each step:

Step 1: When dividing a number by 100, move the decimal point two places to the left. This is because 100 is $10^2$, so we shift the decimal point by two places.

Step 2: Starting with the number 1.100, we move the decimal point two places to the left. The decimal point moves as follows:

• The original number is $1.100$.
• Moving the decimal one place to the left gives $0.1100$.
• Moving the decimal another place to the left results in $0.01100$.

Thus, moving two places gives us $0.01100$, which is equivalent to $0.011$ when removing trailing zeros.

Step 3: We check our work against the answer choices:

1. $0.01$
2. $0.11$
3. $0.011$
4. $0.1$

The correct solution $0.011$ corresponds to choice 3.

Therefore, the solution to the problem is $0.011$.