Name: ___________________

Date:___________________

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Grade 6 - Mathematics
3.2 Rational Numbers

Rrational number:
  • Rational number is a number of the form a/b, where a and b are integers, and b is not equal to zero.
  • We denote the set of rational numbers by "Q".
  • As the name suggest Rational numbers are made of Ratio's.

    Examples:
    5/7, 96/5, 2635/56, ..... are examples of rational numbers.
    59/0, 96/0, 89/0, .... are not rational numbers, because the denominator is zero.

  • Every whole number is a rational number, because any whole number can be written as a fraction. For example, 3 can be written in the form of fraction p/q as 3/1.
  • A rational number is any integer, any fraction, any mixed number, or any decimal, whether positive, negative, or 0.
Examples of rational numbers:
  • 1 can be written in the form of fraction p/q as 1/1
  • −6 can be written in the form of fraction p/q as -6/1
  • 3 can be written in the form of fraction p/q as 7/2
  • −2 can be written in the form of fraction p/q as -2/1
  • 0 can be written in the form of fraction p/q as 0/1
  • 7.3/8609 is in the form of fraction.
  • -1.25 can be written in the form of fraction p/q as -5/4
  • .5 can be written in the form of fraction p/q as 1/2
  • 0.007 terminating decimal can be written in the form of fraction p/q as 7/1000
  • 0.66666.......repeating decimal can be written in the form of fraction as 2/3.

Directions: Answer the following questions. Also, write ten examples of your own of rational numbers in decimal and ratio form.

Name: ___________________

Date:___________________

Grade 6 - Mathematics
3.2 Rational Numbers

Q 1: (-78/3) a rational number.
false
true

Q 2: Is 3/4 a rational number?
false
true

Q 3: .55555..... = 5/9 is a rational number.
true
false

Q 4: 256/7 is a rational number.
true
false

Q 5: The term "rational" comes from the word "ratio," because the rational numbers are the ones that can be written in the ratio form p/q where p and q are integers
false
true

Q 6: A rational number is any number that can be written as a ratio of two integers
true
false

Q 7: Is 26/0 a rational number?
true
false

Q 8: 5 is a rational number.
true
false

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Question 10: This question is available to subscribers only!


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