Question

\(21.9555 \div 1.23=\)

Short answer

17.853

Step-by-step solution

- Set Up the Division Problem

Write down the division problem: o \[ \frac{21.9555}{1.23} \]

- Move the Decimal Point

To simplify the calculation, move the decimal point two places to the right for both the divisor and the dividend. This converts the problem to: o \[ \frac{2195.55}{123} \]

- Perform the Division

Now perform the division.o \[ \frac{2195.55}{123} \approx 17.853 \]

- Round the Answer

Round the answer to an appropriate number of decimal places if required. Here, we keep 3 decimal places: o \[ 17.853 \]

Key concepts

division steps

Solving division problems with decimals involves a few clear steps that make the process easier. The first thing to do is to set up the division problem properly.
For example, in the problem \(21.9555 ÷ 1.23\), you represent it as a fraction: \[ \frac{21.9555}{1.23} \] This tells you exactly what you need to divide and by what number.
By following the right procedure, division problems can be solved systematically.
When solving division problems, it's useful to break down the problem into smaller, manageable steps:

• Set up the division problem.
• Adjust the decimal points if necessary.
• Perform the division as you would with whole numbers.
• Round the final answer to the desired number of decimal places.

Following these steps helps ensure accuracy and makes the process more manageable.

moving decimal points

Decimal division often requires moving the decimal points to simplify calculations.
In the problem \(21.9555 ÷ 1.23\), you move the decimal points in both the divisor (the number you're dividing by) and the dividend (the number to be divided) so both become whole numbers.
For \(1.23\), moving the decimal two places to the right changes it to \(123\).
At the same time, move the decimal in \(21.9555\) two places to the right, changing it to \(2195.55\).
This changes the problem to: \[ \frac{2195.55}{123} \] Making calculations easier.
By converting both numbers into whole numbers, you simplify the division process considerably. This step essentially allows you to work with easier-to-handle whole numbers instead of smaller decimal fractions.

rounding numbers

Rounding numbers is a crucial final step, ensuring that your answer is both precise and practical.
After you have performed the division, as in \(2195.55 ÷ 123 ≈ 17.853\), you may need to round your answer to a specific number of decimal places.
This is important for clarity and practicality.
For most purposes, you will be asked to round to a certain number of decimal places, which makes your final answer easier to work with.
In this example, the answer 17.853 is precise to three decimal places. This is often suitable for most real-life applications.
Rounding typically follows these rules:

• If the digit after the desired decimal place is 5 or more, round up.
• If it is less than 5, round down.

So, by rounding \(17.853\) to three decimal places, we get an accurate and easy-to-read final answer.