Decimal Multiplication Division by 10 100 1000 Practice

To solve multiplying the decimal number $2.78$ by $10$, we'll apply the rule of moving the decimal point:

• Step 1: Identify the decimal number, which is $2.78$.
• Step 2: Recognize that when multiplying by $10$, the decimal point shifts one place to the right.

By shifting the decimal point one position right, $2.78$ becomes $27.8$.

This operation shows that multiplying by $10$ effectively scales the value up by one power of ten.

Therefore, the solution to the problem is $27.8$.

To solve $20.1 \div 10$, we follow these steps:

• Step 1: Identify that we are dividing by 10, so we will move the decimal point one place to the left.
• Step 2: Start with the number 20.1 and move the decimal point one place left to get 2.01.
• Step 3: Write the new number after shifting the decimal, which gives us 2.01.

After carrying out these steps, we find that the solution to the problem is $2.01$.

To solve the problem of multiplying 1.52 by 10, we follow these simple steps:

• Step 1: Understand that multiplying a decimal number by 10 involves shifting the decimal point one place to the right.
• Step 2: Start with the number 1.52.
• Step 3: Shift the decimal point one place to the right to get 15.2.

Let's perform these steps:
Starting with 1.52, when we shift the decimal point one place to the right, we move from 1.52 to 15.2. This is because multiplying by 10 increases the value by one order of magnitude.

Thus, the product of $1.52 \times 10$ is $15.2$. Therefore, the correct answer choice is $15.2$.

To solve the problem $0.07 \times 10$, we recognize that multiplying a decimal number by 10 involves shifting the decimal point one place to the right.

Let's work through the steps:

• Initially, the decimal number $0.07$ has a decimal point located between the "0" in the tenths place and "07".
• When multiplying by 10, we shift the decimal point one place to the right. This changes the number from $0.07$ to $0.7$.

The decimal point's new position results in the number $0.7$, representing the product of the original number and 10.

The solution to the problem is $0.7$.

To solve the problem, we'll use a straightforward approach:

• Step 1: Recognize that dividing by 10 moves the decimal point one place to the left.
• Step 2: Start with 13.61.
• Step 3: Move the decimal point one place left results in 1.361.

Now, let's apply these steps to calculate:

Starting with $13.61$, when dividing by 10, the decimal moves one position to the left:

$13.61 \rightarrow 1.361$.

Thus, the solution to the division is $1.361$.