Decimal Multiplication Practice Problems & Solutions

To multiply $0.1$ by $4.35$, move the decimal point in $4.35$ one place to the left. Thus, $0.1 \times 4.35 = 0.435$.

To solve this problem, we'll multiply the decimal numbers $0.1$ and $0.5$, following these steps:

• Step 1: Treat each number as if it were a whole number and multiply: $1 \times 5 = 5$.
• Step 2: Count the decimal places in both factors. The number $0.1$ has one decimal place, and $0.5$ also has one decimal place.
• Step 3: The total number of decimal places in the product should be the sum of the decimal places in the factors, which is $1 + 1 = 2$.
• Step 4: Place the decimal point in the product $5$, resulting in $0.05$, to ensure it has two decimal places.

Therefore, the product of $0.1$ and $0.5$ is $0.05$.

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

• Step 1: Multiply the numbers without considering the decimal point.
• Step 2: Count the total number of decimal places in the numbers being multiplied.
• Step 3: Position the decimal point in the product accordingly.

Now, let's work through each step:

Step 1: Multiply $0.1$ by $3.5$ as whole numbers $1 \times 35 = 35$.

Step 2: Count the decimal places: $0.1$ has 1 decimal place, and $3.5$ has 1 decimal place, totaling 2 decimal places.

Step 3: In the product $35$, place the decimal point such that there are 2 decimal places: This gives us $0.35$.

Therefore, the solution to the problem is $0.35$.

Let's solve the problem of multiplying $0.1$ and $7.33$ step by step.

Step 1: Rewrite the two numbers without considering the decimal points. Calculate the product of 10 and 733.

Step 2: The result of $10 \times 733$ is $7330$.

Step 3: Count the total number of decimal places in the original factors $0.1$ and $7.33$.
- $0.1$ has 1 decimal place.
- $7.33$ has 2 decimal places.
Together, they amount to 3 decimal places.

Step 4: In the product $7330$, move the decimal point backwards to account for the 3 decimal places. So, the decimal point goes three places from the end of the number.

The result is $0.733$.

Therefore, $0.1 \times 7.33 = 0.733$.

The correct answer choice is $0.733$.

To solve this problem, follow these steps:

• Step 1: Temporarily ignore the decimals and multiply $1$ by $24$. The product is $24$.
• Step 2: Count the decimal places in both numbers. $0.1$ has one decimal place, and $2.4$ has one decimal place. This gives a total of two decimal places.
• Step 3: Place the decimal point in the product, which is $24$, to account for the two decimal places. Thus, $24$ becomes $0.24$.

Therefore, the solution to the problem $0.1 \times 2.4$ is $0.24$.