Real Numbers

 Mathematics Grade 9 Zambia: Real Numbers

Definitions

Whole Numbers

Whole numbers are positive integers, including 0, without fractions or decimals. They are numbers without any fractional parts.

Positive Whole Numbers

Positive whole numbers are whole numbers greater than 0.

Odd Whole Numbers

Odd whole numbers are whole numbers that are not divisible by 2.

Even Whole Numbers

Even whole numbers are whole numbers that are divisible by 2.

Rational Numbers

Rational numbers are numbers that can be expressed as the ratio of two integers, i.e., a fraction.

Irrational Numbers

Irrational numbers are numbers that cannot be expressed as the ratio of two integers, i.e., they have an infinite number of decimal places that never repeat.

Real Numbers

Real numbers include all rational and irrational numbers. They are numbers that can be found on the number line.

Questions and Answers

1. Positive whole numbers less than 20

  1. Start with the number 1.
  2. Increment the number by 1 until you reach 20.
  3. Write down all the numbers you've incremented through.
Example:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19
The final answer is:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19.

2. Whole numbers between 36 and 52

  1. Start with the number 36.
  2. Increment the number by 1 until you reach 52.
  3. Write down all the numbers you've incremented through.
Example:
36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52
The final answer is:
36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52.

3. Whole numbers greater than or equal to 100

  1. Start with the number 100.
  2. Recognize that there is no upper limit to whole numbers.
  3. Write down the starting number and indicate that the list continues indefinitely.
Example:
100, 101, 102, 103, 104, 105, ... (continues indefinitely)
The final answer is:
100, 101, 102, 103, 104, 105, ....

4. Odd whole numbers between -8 and 4

  1. Identify the smallest odd whole number within the range (-8 to 4).
  2. Increment the number by 2 until you reach the largest odd whole number within the range.
  3. Write down all the odd numbers you've incremented through.
Example:
-7, -5, -3, -1, 1, 3
The final answer is:
-7, -5, -3, -1, 1, 3.

5. Even numbers from -6 to 6

  1. Identify the smallest even number within the range (-6 to 6).
  2. Increment the number by 2 until you reach the largest even number within the range.
  3. Write down all the even numbers you've incremented through.
Example:
-6, -4, -2, 0, 2, 4, 6
The final answer is:
-6, -4, -2, 0, 2, 4, 6.

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