All Operations in Decimal Fractions: Division by 100

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

• Step 1: Understand the given information and operation.
• Step 2: Apply the rule for division by 100.
• Step 3: Perform the calculation and check against the choices.

Now, let's work through each step:

Step 1: We need to divide 1036 by 100. This is equivalent to finding how many hundreds fit into 1036.

Step 2: When dividing a number by 100, the decimal point is shifted two positions to the left. The original number 1036 can be expressed as 1036.0 (adding a decimal point and a zero for clarity). By moving the decimal point two places to the left, we convert 1036.0 to 10.36.

Step 3: Therefore, $1036 \div 100 = 10.36$.

Comparing this result to the given multiple-choice options, the correct answer is choice 2, which is $10.36$.

Therefore, the solution to this problem is $10.36$.

To solve the division of $9.19$ by 100, we follow these steps:

• Identify the initial position of the decimal point in $9.19$.
• Move the decimal point two places to the left since we are dividing by 100.
• Record the resulting number.

Let's work through this:

Original number: $9.19$

Step 1: Current position of the decimal in $9.19$ is between 9 and 1.

Step 2: Move the decimal two places to the left:

- First move: From between 9 and 1 to before 9, it becomes $0.919$

- Second move: Insert an extra 0 to the left, resulting in $0.0919$

Therefore, the result of $9.19 \div 100$ is $\mathbf{0.0919}$.

The correct choice matches the calculated result, which confirms choice $2$: $\mathbf{0.0919}$.

To solve this problem, we need to divide $118$ by $100$. To do this, we'll use the method of moving the decimal point.

The number $118$ can be expressed as $118.0$ with an implied decimal point at the end. When dividing by $100$, which is $10^2$, we move the decimal point two places to the left to find the quotient.

• First Place: $118.0 \to 11.80$
• Second Place: $11.80 \to 1.180$

After moving the decimal two places to the left, the result becomes $1.18$.

Therefore, the solution to the problem is $1.18$.