Decimal Multiplication Division by 10 100 1000 Practice

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

• Step 1: Understand the operation needed: multiply the decimal 0.3 by 10.
• Step 2: Apply the rule for multiplying by powers of 10.
• Step 3: Execute the operation and write down the result.

Now, let's work through each step:
Step 1: We need to multiply 0.3 by 10. Multiplying by 10 involves shifting the decimal point.
Step 2: Using the rule for multiplying decimals by 10, we shift the decimal point in 0.3 one place to the right.
Step 3: Originally, the decimal point in 0.3 is after the '3'. After shifting it right by one place, we get '3.0'. This is equivalent to $3$.

Therefore, the solution to the problem is $3$.

We will solve the problem by multiplying $0.26$ by $10$. When multiplying a decimal by $10$, the decimal point moves one place to the right.

Let's follow the steps:

• Recognize our initial number: $0.26$.
• To multiply by $10$, shift the decimal point one position to the right. This changes $0.26$ to $2.6$.

Therefore, multiplying $0.26$ by $10$ gives us the result $2.6$.

The solution to the problem is $2.6$.

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 this problem, we aim to multiply the decimal number 1.14 by 10. When multiplying a decimal number by 10, we shift the decimal point one place to the right. Let's follow these steps to solve the problem:

• Step 1: Identify the position of the decimal point in the number 1.14. It is currently between the digits 1 and 4.
• Step 2: Shift this decimal point one position to the right as we are multiplying by 10. After shifting, the decimal point will be placed to the right of the digit 4.

Therefore, moving the decimal point one position to the right transforms 1.14 into 11.4.

Hence, the product of $1.14 \times 10$ is $11.4$.

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 $27.8$.