1 / 13

Notes 3.1 – Introduction to rational numbers

Notes 3.1 – Introduction to rational numbers. I. Review. Natural Numbers: 1, 2, 3, 4,… Whole Numbers: 0, 1, 2, 3, 4,… Integers: …, -2, -1, 0, 1, 2, … Rational Numbers: …. Comparing Rational Numbers. Fractions: A way of representing a division of a whole into PARTS

harsha
Download Presentation

Notes 3.1 – Introduction to rational numbers

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Notes 3.1 – Introduction to rational numbers

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

  3. Comparing Rational Numbers Fractions: A way of representing a division of a whole intoPARTS 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 byDIVISION

  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!!!! Comparing Fractions Using Cross-Products:

  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.

More Related