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Understanding Natural Numbers: Maths Practice Guide

Enhance your math skills with practice problems on natural numbers, fractions, and GCF reduction techniques. Learn to calculate averages and solve equations. Practice identifying and reducing common factors to simplify fractions. This guide includes step-by-step instructions and examples for better comprehension.

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Understanding Natural Numbers: Maths Practice Guide

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  1. Bell Ringer 9/_/11 3. Jasmine was asked to give an example of a natural number and said zero. Is jasmine correct? Why or why not? BOA. 202 4. Solve 5q=50 XEI.202 5. Calculate the average of 1, 0, and 11, 1PSD. 201 1. There are 4 quarters in a dollar. How many quarters are in 12 dollars? What operation is required to solve this question?XEI.202 xei. 202 2. State why 3 12/5 is not a mixed fraction Ms. Orlowski would accept? Ncp. 201

  2. Date: Objective: Reducing/Simplifying Fractions

  3. Section 3 Notes:

  4. Reducing Fractions Using GCF! FIRST: List all Factors! 2nd : Underline/bold common factors 3rd : Circle greatest common factor! VOCAB: • Factor: the numbers you multiply to get another number • Greatest Common Factor (GCF): of two or more non-zero intergers, is the largest natural number that divides the numbers without a remainder. Steps to reducing fractions using the gcf! Trick: FCG

  5. EXAMPLE 1: GCF 2nd : Underline/bold common factors 8 = 1• 8 12 = 1 • 12 8 = 2 • 4 12= 2• 6 12= 3 • 4 3rd : Circle greatest common factor! 8 = 1 • 8 12 = 1 • 12 8 = 2 • 4 12= 2• 6 12= 3 • 4 FIRST: List all Factors! 8 = 1 • 8 12 = 1 • 12 8 = 2 • 4 12= 2 • 6 12= 3 • 4 EXAMPLE: the GCF of 8 and 12 is 4. BUT HOW?? ALSO KNOWN AS: greatest common divisor (gcd) or highest common factor (hcf) GCF = GCD= HCF

  6. Now that you know how to find the GCF, its time to REDUCE FRACTIONS!! 6/9  Step 1: List all Factors Step 2: Underline Common factors Step 3: Circle the GREATEST COMMON FACTOR! EXAMPLE 2 GCF Reducing Fraction 6 / 3 2 = 9 / 3 3 Step 1: 6 = 1 • 6 9 = 1 • 9 6 = 2 • 3 9 = 3 • 3 Step 4: DIVIDE THE NUMERATOR AND DENOMINATOR BY THE GCF!! Step 2: 6 = 1 • 6 9 = 1 • 9 6 = 2 • 3 9 = 3 • 3 Step 3: 6 = 1 • 6 9 = 1 • 9 6 = 2 • 3 9 = 3 • 3 GCF = 3

  7. Partner Practice • List the 4 steps required when reducing fractions. • Identify the GCF of 16 and 6. • Reduce the fraction 6/16. • Identify the GCD of 16, 24, and 32. • Reduce the fraction 9/27. • Circle all fractions equal to 8/12. (Hint: reduce all fractions) • 16/24 b. 6/10 c. 2/3 • Explain how you solved number 6 in complete • sentences.

  8. HOMEWORK DO NOT FORGET: -Title, Date, and Name on loose leaf paper -NEW Page NUMBERED

  9. 1. Identify the GCD of 18, 36, and 40. 2. Write -7 4/9 as a improper fraction. 3. Put the following fractions in order from least to greatest: -1 5/7, 12/5, -14/3, 1 4/10 4. Reduce the fraction 12/36. 5. 3 7/8 as an improper 6. 19/3 = ? (Mixed) 7. Circle all fractions equal to 9/12. (Hint: reduce all fractions) a. 3/4 b. 6/9 c. 4/3 NAME DATE TITLE PAGE #

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