irrational numbers
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Irrational Numbers. Unit 1.07. Rational Number: A Rational Number is a number that CAN be written as a fraction. Example: Which of the following are rational numbers? (Write the rational numbers in the circle and those that are not rational in the circle) A) B)C) - PowerPoint PPT PresentationTRANSCRIPT
VocabularyRational Number: A Rational Number is a number that CAN be written as a fraction.
Example: Which of the following are rational numbers? (Write the rational numbers in the circle and those that are not rational in the circle)A) B) C)
D) E) F)π
VocabularyIrrational Number: An Irrational Number is a number that CANNOT be written as a fraction.
Example: Which of the following are irrational numbers? (Write the irrational numbers in the circle and those that are not irrational in the circle)A) B) C)
D) E) F)
π
How do I … ?Writing a rational number as a fraction: You can write any rational number (with repeating digits) as a fraction by following these 4 steps.
Step 1: Set the given number equal to n.
Step 2: Multiply both sides by the power of 10 that equals the number of repeating digits.
Step 3: Subtract & Divide.
Step 4: Reduce (if possible).
Example #1:Write the rational number as a fraction.
Step 1: Set the given number equal to n.
Step 2: Multiply both sides by the power of 10 that equals the number of repeating decimals.
Step 3: Subtract & Divide.Step 4: Reduce (if possible).
Example #2:Write the rational number as a fraction.
Step 1: Set the given number equal to n.
Step 2: Multiply both sides by the power of 10 that equals the number of repeating decimals.
Step 3: Subtract & Divide.Step 4: Reduce (if possible).
Let’s Practice! #1Write the rational number as a fraction.
Step 1: Set the given number equal to n.
Step 2: Multiply both sides by the power of 10 that equals the number of repeating decimals.
Step 3: Subtract & Divide.Step 4: Reduce (if possible).
Write the rational number as a fraction.
Step 1: Set the given number equal to n.
Step 2: Multiply both sides by the power of 10 that equals the number of repeating decimals.
Step 3: Subtract & Divide.Step 4: Reduce (if possible).
Let’s Practice! #2
Write the rational number as a fraction.
Step 1: Set the given number equal to n.
Step 2: Multiply both sides by the power of 10 that equals the number of repeating decimals.
Step 3: Subtract & Divide.Step 4: Reduce (if possible).
Let’s Practice! #3
Write the rational number as a fraction.
Step 1: Set the given number equal to n.
Step 2: Multiply both sides by the power of 10 that equals the number of repeating decimals.
Step 3: Subtract & Divide.Step 4: Reduce (if possible).
Let’s Practice! #4
Write the rational number as a fraction.
Step 1: Set the given number equal to n.
Step 2: Multiply both sides by the power of 10 that equals the number of repeating decimals.
Step 3: Subtract & Divide.Step 4: Reduce (if possible).
Let’s Practice! #5
How do I … ?Writing a rational number as a fraction when not all digits are repeating: You can write any rational number (with repeating & non-repeating digits) as a fraction by following these 6 steps.
Step 1: Move the decimal point behind the last repeating digit.Step 2: Multiply by the power of 10 that equals the number of
places you moved the decimal point.Step 3: Move the decimal point in front of the 1st repeating digit.Step 4: Multiply by the power of 10 that equals the number of
places you moved the decimal point.Step 5: Subtract & Divide.Step 6: Reduce (if possible).
Example #3:Write the rational number as a fraction.
Step 1: Move the decimal point behind the last repeating digit.
Step 2: Multiply by the power of 10 that equals the number of places you moved the decimal point.
Step 3: Move the decimal point in front of the 1st repeating digit.
Step 4: Multiply by the power of 10 that equals the number of places you moved the decimal point.
Step 5: Subtract & Divide.Step 6: Reduce (if possible).
Example #4:Write the rational number as a fraction.
Step 1: Move the decimal point behind the last repeating digit.
Step 2: Multiply by the power of 10 that equals the number of places you moved the decimal point.
Step 3: Move the decimal point in front of the 1st repeating digit.
Step 4: Multiply by the power of 10 that equals the number of places you moved the decimal point.
Step 5: Subtract & Divide.Step 6: Reduce (if possible).
Write the rational number as a fraction.
Let’s Practice! #6Step 1: Move the decimal point behind
the last repeating digit.Step 2: Multiply by the power of 10 that
equals the number of places you moved the decimal point.
Step 3: Move the decimal point in front of the 1st repeating digit.
Step 4: Multiply by the power of 10 that equals the number of places you moved the decimal point.
Step 5: Subtract & Divide.Step 6: Reduce (if possible).
Write the rational number as a fraction.
Let’s Practice! #7Step 1: Move the decimal point behind
the last repeating digit.Step 2: Multiply by the power of 10 that
equals the number of places you moved the decimal point.
Step 3: Move the decimal point in front of the 1st repeating digit.
Step 4: Multiply by the power of 10 that equals the number of places you moved the decimal point.
Step 5: Subtract & Divide.Step 6: Reduce (if possible).
Write the rational number as a fraction.
Let’s Practice! #8Step 1: Move the decimal point behind
the last repeating digit.Step 2: Multiply by the power of 10 that
equals the number of places you moved the decimal point.
Step 3: Move the decimal point in front of the 1st repeating digit.
Step 4: Multiply by the power of 10 that equals the number of places you moved the decimal point.
Step 5: Subtract & Divide.Step 6: Reduce (if possible).
Write the rational number as a fraction.
Let’s Practice! #9Step 1: Move the decimal point behind
the last repeating digit.Step 2: Multiply by the power of 10 that
equals the number of places you moved the decimal point.
Step 3: Move the decimal point in front of the 1st repeating digit.
Step 4: Multiply by the power of 10 that equals the number of places you moved the decimal point.
Step 5: Subtract & Divide.Step 6: Reduce (if possible).