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?

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