Dividing Decimal Fractions - Examples, Exercises and Solutions

To solve the division of decimals $0.49 \div 0.1$, follow these steps:

• Step 1: Start by identifying the dividend ($0.49$) and the divisor ($0.1$).
• Step 2: To simplify the division process, eliminate the decimal in the divisor. Multiply both the dividend and the divisor by 10. This gives: $(0.49 \times 10) \div (0.1 \times 10) = 4.9 \div 1$.
• Step 3: Perform the simple division with the new values: $4.9 \div 1 = 4.9$.

Therefore, the result of $0.49 \div 0.1$ is $4.9$.

To solve the division of two decimal numbers, we start by converting the divisor, 0.1, into a whole number to simplify the calculation.

• Step 1: Multiply both the dividend and the divisor by 10 to eliminate the decimal in the divisor. This gives us:

$3.36 \times 10 = 33.6$ and $0.1 \times 10 = 1$

• Step 2: The division is now transformed from $\frac{3.36}{0.1}$ to $\frac{33.6}{1}$.

Step 3: Dividing 33.6 by 1 results simply in 33.6.

There's no change needed to any number beyond this step, as the division by 1 does not alter the value.

Therefore, the solution to the problem is $33.6$.

To solve the problem of $1.3 \div 0.1$, we need to simplify the division process by eliminating the decimal point in the divisor using the following steps:

• Step 1: Recognize that dividing by 0.1 is equivalent to multiplying by 10. This is because 0.1 is the same as $\frac{1}{10}$, so dividing by 0.1 is the same as multiplying by 10.
• Step 2: Multiply both the dividend (1.3) and the divisor (0.1) by 10 to move the decimal point one place to the right for each number. This changes 1.3 to 13 and 0.1 to 1.
• Step 3: Perform the division $13 \div 1$. As dividing by 1 leaves any number unchanged, we have the result 13.

Therefore, the solution to the problem $1.3 \div 0.1$ is $13$.

To solve the problem $0.36 \div 0.1$, we use the method of converting to whole numbers as follows:

• Step 1: Multiply both 0.36 and 0.1 by 10 to get rid of the decimals. This gives us $3.6$ and $1$.
• Step 2: Perform the division of $3.6$ by $1$, which simply results in $3.6$.

Thus, the result of $0.36 \div 0.1$ is $3.6$.

To solve the problem $0.7 \div 0.1$, we proceed with the following steps:

• Step 1: Convert the decimals to whole numbers. Multiply both $0.7$ and $0.1$ by 10 to remove the decimals. This gives us $7$ and $1$ respectively.
• Step 2: Divide the resulting whole numbers. Hence, $7 \div 1 = 7$.
• Step 3: The division is straightforward as the divisor is now a whole number.

Therefore, the solution to the problem is $7$.