2. Natural Numbers: 1, 2, 3, 4,… Whole Numbers: 0, 1, 2, 3, 4,… Integers: …, -2, -1, 0, 1, 2, … Rational Numbers: …

3. Fractions: A way of representing a division of a whole into PARTS The NUMERATOR is the number of parts chosen The DENOMINATOR is total number of parts.

4. Numerator Denominator A fraction is a comparison of two numbers by DIVISION

5. Comparing Fractions Using Fraction Bars: Which is larger,

6. Use a number line to compare and.

7. Another way of comparing fractions is to convert them to EQUIVALENT fractions that have the same denominator. Then simply compare the numerators The fraction with the largest numerator is now the larger fraction.

8. Equivalent Fractions: Created by MULTIPLYING or DIVIDING the numerator and denominator by the SAME number Example: Compare to by creating equivalent fractions Step 1- Both 6 and 5 a factor of what number? 30

9. Step 2 – Mult. the num. and denom. of by 5 to get 30 in the denominator. Step 3 – Mult. the num. and denom. of by 6 to get 30 in the denominator.

10. Step 4 – Which numerator is larger? Therefore, is the larger fraction.

11. Another way of comparing fractions is to CROSS- MULTIPLY the numerators and the denominators. Then simply compare the CROSS-PRODUCTS. The side with the LARGER cross-product is now the larger fraction. ALWAYS START FROM THE BOTTOM!!!!

12. Example: Compare to by cross-products. Step 1- Multiply 7 and 9 and place it on the right. Step 2 – Multiply 11 and 5 and place it on the left.

13. Step 3 – Which cross-product is larger? Therefore, is the larger fraction.