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Rational Numbers Introduction

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Rational Numbers Introduction

A community food stall is planning its menu and tracking sales. Use fractions, decimals and percentages to solve the challenges. Show working where you can.

Spot the rational numbers

A rational number can be written as a fraction of two integers, with a non-zero denominator. Terminating and recurring decimals are rational.

1.Which list contains only rational numbers? Choose one.
  • −3, 0.4, 2/7
  • √2, 0.5, 3/4
  • π, −1, 0.25
  • √5, 2/3, 0.8
2.Write 0.375 as a fraction in its simplest form. Show how you know.
3.The stall sells 3/5 of its fruit cups before lunchtime. Complete the equivalent forms: decimal = and percentage = .
4.Match each term to its meaning: numerator; denominator; recurring decimal.
  • Numerator
  • Denominator
  • Recurring decimal
  • A decimal in which a digit or group of digits repeats forever
  • The number of equal parts being considered
  • The number of equal parts in the whole

Compare and represent

The stall uses a number line to compare portions and keep its sales records consistent.

5.Place the values 0.25, 1/2 and 0.8 on the number line. Write them in order from least to greatest.
00.250.50.751
6.A tray is divided into 8 equal pieces. Show 3/8 on the fraction bar. What decimal is equivalent to 3/8?
7.A customer pays $2.40 for a snack. Write this amount as a fraction of one dollar in simplest form, then as a number of cents.
8.The stall has sold 18 of its 24 muffins. Write the fraction sold in simplest form, then give the decimal and percentage.
9.Which is greatest: 0.62, 5/8, 61%, or 3/5? Convert them to a common form to justify your choice.
10.True or false: every terminating decimal is a rational number. Explain using 0.125 as an example.
11.Challenge: Put these values in order from least to greatest: 0.6, 5/8, 58%, 3/5, 0.65. Identify any values that are equal.
0.550.570.590.610.630.650.670.690.7

3 printable pages

  • Rational Numbers Introduction, page 1 of 3: Spot the rational numbers

    Page 1

  • Rational Numbers Introduction, page 2 of 3: Compare and represent

    Page 2

  • Rational Numbers Introduction, page 3 of 3: 10. True or false: every terminating decimal is a rational number. Explain using 0.125 as…

    Page 3

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