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Rational Numbers Introduction
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Rational Numbers Introduction
Help plan a class celebration by exploring fractions, decimals and percentages. Show your working where you can. A rational number can be written as a fraction of two integers, with a non-zero denominator.
Number detectives
Investigate what makes a number rational.
1.Mere says, “A rational number is any number that can be written as a fraction.” Improve her definition by adding the condition the denominator must meet.
2.A class is sorting number cards. Select every rational number: −3, 0.4, ⅔, √2, 25%, 0.121212… (the digits 12 repeat forever).
- −3
- 0.4
- ⅔
- √2
- 25%
- 0.121212…
3.Match each term to its meaning: numerator; denominator; terminating decimal.
- Numerator
- Denominator
- Terminating decimal
- The number of equal parts in the whole; the bottom number in a fraction.
- A decimal that ends after a finite number of digits.
- The number of equal parts being counted; the top number in a fraction.
Celebration conversions
Convert between fractions, decimals and percentages to help with the event plan.
4.The fruit-drink jug is half full. Write one-half as a decimal and as a percentage.
5.A tray of mini muffins has 20 equal spaces. Five spaces contain blueberry muffins. Give the blueberry share as a simplified fraction, a decimal and a percentage.
6.The music playlist is 60% complete. Write 60% as a decimal and as a fraction in simplest form.
7.Which is the greatest amount of fruit drink? Choose one: 0.68 L, ⅔ L, 65% of a litre, or 0.7 L.
- 0.68 L
- ⅔ L
- 65% of a litre
- 0.7 L
Place and explain
Use number sense to compare and represent rational numbers.
8.Place 0.25, ½ and 0.75 on the number line. Write them in order from smallest to largest.
9.True or false? Every decimal is rational. Explain your answer with an example.
10.A snack costs $3.60. Write this amount in dollars as a fraction in simplest form. (For example, $1.50 is 150/100 dollars.)
11.Challenge: Put these numbers in order from smallest to largest: 0.6, ⅝, 58%, 3/5, 0.65. Show how you compared them.
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