 1. Word cloud
120 seconds
Name one decimal that is between 0 and 1?
2. Slide
60 seconds
Decimals are a way to represent fractions in a number. Decimals are written using a decimal point, with digits on either side. To compare decimals, look at the digits to the right of the decimal point.
Understanding Decimals
3. Slide
60 seconds
Decimals are numbers that are written in a form that includes a decimal point. For example, 3.14 is a decimal. Decimals can represent fractions and be used to compare quantities that are not whole numbers. Decimals can be rounded to the nearest whole number or another decimal number. For example, 3.14 can be rounded to 3 or 3.1.
Concepts:
4. Slide
60 seconds
The decimal system was first used by the ancient China around 100 BC. The most accurate calculation of pi using decimals was done in the year 2011 and it was calculated to be 3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609433057270365759591953092186117381932611793105118548074462379962749567351885752724891227938183011949129833673362440656643086021394946395224737190702179860943702770539217176293176752384674818467669405132000568127145263560827785771342757789609173637178721468440901224953430146549585371050792279689258923542019956112129021960864034418159813629774771309960518707211349999998372978049951059731732816096318595024459455346908302642522308253344685035261931188171010003137838752886587533208381420617177669147303598253490428755468731159562863882353787593751957781857780532171226806613001927876611195909216420198938095257201065485863278865936153381827968230301}
Did you know?
5. Open question
300 seconds
What are some examples of fractions that can be written as decimals?
6. Open question
300 seconds
What is the difference between a fraction and a decimal?
7. Open question
300 seconds
How can knowing how to write fractions as decimals help you solve math problems?
8. Open question
300 seconds
What strategies can you use to help you convert a fraction to a decimal?
9. Drawings
450 seconds
Brain break: Draw two snakes having a conversation while lounging on beach chairs
10. Drawings
1260 seconds
Question: You work at a department store and need to fill orders for customers. Some customers order items that cost \$7.95, but some customers order items that cost \$7.95 plus tax. How can you quickly calculate the total cost for the customer? Clues: • Remember that tax is usually calculated as a percentage of the original price. • Decimals can be added together like whole numbers. • You can use the calculator on your phone to help. In pairs: Select and solve one of the tasks: A. Write out the equation you need to use to calculate the total cost. B. Explain to your partner how to calculate the total cost for a customer.
11. Poll
60 seconds
What is 0.5 as a fraction?
• 1/2
• 2/3
• 1/3
• 3/4
12. Poll
60 seconds
What is the decimal form of one quarter?
• 0.25
• 0.5
• 0.75
• 1
13. Poll
60 seconds
Which of these decimals is greater than 0.6?
• 0.65
• 0.55
• 0.45
14. Poll
60 seconds
What is the decimal equivalent of three-fifths?
• 0.6
• 1,2
• 2,3
15. Poll
60 seconds
What does the digit to the right of the decimal point represent in a decimal number?
• Tenths place value
• Ones place value
• Hundreds place value
16. Word cloud
120 seconds
What is the most basic way to convert a rational number to a decimal?
17. Slide
60 seconds
Write the rational number as a division problem, with the numerator over the denominator. Divide the numerator by the denominator. Record the quotient and the remainder. Repeat the division process with the remainder over the denominator. Repeat until remainder is 0.
Converting Rational Numbers to Decimals Using Long Division
18. Slide
60 seconds
Rational Number - a number that can be expressed as a fraction where the numerator (top number) and denominator (bottom number) are both integers (whole numbers). Long Division - a mathematical method used to divide one number (dividend) by another (divisor) to get the quotient and remainder. Decimal - a number that has a fractional component, expressed as a point followed by a series of digits after it.
Concepts:
19. Slide
60 seconds
Long division can be used to divide polynomials, which are equations with multiple terms, in addition to rational numbers. The long division algorithm was first described in the 12th century by Indian mathematician, Bhaskara. Long division can be used to find the prime factors of a number, which are numbers that can be multiplied together to make the original number.
Did you know?
20. Open question
300 seconds
Why is it important to be able to convert a rational number to a decimal?
21. Open question
300 seconds
What strategies can you use to help you convert a rational number to a decimal?
22. Open question
300 seconds
How did you approach the process of converting a rational number to a decimal using long division?
23. Open question
300 seconds
What challenges did you encounter when converting a rational number to a decimal using long division?
24. Drawings
450 seconds
Brain break: Draw a dinosaur holding an umbrella while it rains ice cream
25. Drawings
1260 seconds
Question: How can you convert a rational number to a decimal using long division? Clues: • Remember to divide the numerator by the denominator, and keep track of the remainders. • For each remaining number, divide the result by the denominator. • Repeat until there is no remainder left. In pairs: Select and solve one of the tasks: A. Work in pairs to solve a problem using long division. B. Explain your solution through a drawing.
26. Poll
60 seconds
Convert 3/4 to a decimal using long division.
• 1.5
• 0.75
• 0.25
27. Poll
60 seconds
Convert 5/8 to a decimal using long division.
• 0.625
• 0.85
• 1.25
28. Poll
60 seconds
Convert 2/3 to a decimal using long division.
• 0.3333...
• 0.6666...
• 1
29. Poll
60 seconds
Convert 7/10 to a decimal using long division.
• 1
• 0.17
• 0.7
30. Poll
60 seconds
Convert 4/9 to a decimal using long division.
• 3
• 0.4444...
• 0.1111...
31. Open question
180 seconds
Work together in pairs: Q: What is the decimal form of the rational number 3/4?
32. Open question
180 seconds
Work together in pairs: What is the decimal form of the fraction 1/4?