What is the best way to divide decimals?
To divide decimals, line up the numbers with the decimal point in the same place. Divide as if there were no decimal points. Count the number of digits after the decimal point in the problem. Put the same number of digits after the decimal point in the answer.
Dividing Decimals
Division: The process of splitting a number into equal parts. Decimal: A number which includes a decimal point and expresses a fractional amount. Long Division: A method of dividing decimals which involves breaking down the problem step-by-step.
Concepts:
The Ancient Romans used a mathematical symbol called 'vinculum' to divide integers and fractions. The symbol for division (÷) was originally written as a line with dots above and below it – representing the numerator and denominator. The most accurate method of division for decimals is the long division method, which was invented in the 16th century.
Did you know?
What is the most important thing to remember when dividing decimals?
What strategies do you use when dividing decimals?
Can you think of a time when you had difficulty dividing decimals?
How has your understanding of dividing decimals improved as a result of this lesson?
Brain break: Draw a friendly alien flying a UFO in the shape of an ice cream cone.
Question: You and your partner are helping a classmate understand how to divide decimals. How can you explain the process to them? Clues: • Remember that decimals are a representation of fractions. • Divide the decimals as if they were whole numbers, then adjust the decimal place. • When adjusting the decimal, remember to move the decimal place to the right the same number of places as the number of decimal places in the divisor. In pairs: Select and solve one of the tasks: A. Draw a picture with your partner that illustrates how to divide decimals. B. Create a story that helps your classmate understand how to divide decimals.
What is the result of 0.8 divided by 2?
What is the result of 5 divided by 0.25?
When dividing decimals, what should you do if the divisor (the number you're dividing by) has a decimal?
- Move the decimal point to the right until it becomes a whole number and move it to numerator as well.
- Move the decimal point to the left until it becomes a whole number and move it to denominator as well.
- Ignore it and proceed with normal division.
When dividing decimals, how many spaces should there be after placing a decimal point in your quotient (the answer)?
- Same number of spaces as in dividend(above).
- One space less than in dividend(above).
What is the result when 12 is divided by 3.6? Round your answer to one decimal place.
Work together in pairs: What is the rule for determining the number of decimal places in the quotient when dividing two decimals?