1 / 19

Numbers & Operations

Numbers & Operations. CRCT review. Real Numbers. All rational and irrational numbers – all numbers that can be expressed as a decimal Rational Numbers Irrational Numbers * natural numbers *whole numbers *integers. Natural Numbers. aka counting numbers ex: 1, 2, 3, 4, ….

edison
Download Presentation

Numbers & Operations

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. Numbers & Operations CRCT review

  2. Real Numbers • All rational and irrational numbers – all numbers that can be expressed as a decimal Rational NumbersIrrational Numbers *natural numbers *whole numbers *integers

  3. Natural Numbers • aka counting numbers • ex: 1, 2, 3, 4, …

  4. Whole Numbers • The natural numbers and zero • ex: 0, 1, 2, 3, 4, …

  5. Integers • The set of whole numbers and their opposites • ex: …-4, -3, -2, -1, 0, 1, 2, 3, 4…

  6. Rational Numbers • A number that can be written as a/b, where a and b are integers and b doesn’t equal 0. • includes fractions, repeating/terminating decimals • ex: -1/4, 6/5, .0324, -3.272727

  7. Irrational Numbers • non-terminating and non-repeating decimals • Can’t be written as a/b • ex: 2.34567…, • All numbers that are not rational are irrational

  8. Rational or Irrational? 1. -7.2 2. 1.004 3. 4. 5. rational rational rational rational irrational

  9. Absolute Value • The distance a number is from 0 = 8 = 0 = 4 = -10

  10. Comparing/Ordering Rational Numbers • Write all numbers in the same form (all decimals, all fractions, or all percents) EX. Order the numbers from greatest to least

  11. Adding Signed (+/-) numbers 1. When numbers being added have the same sign, add the numbers and write the sign with the answer EX. 15 + 7 = 22 (-15) + (-7) = -22 2. When numbers being added have different signs: -subtract the absolute values of the numbers -use the sign of the number with the higher absolute value. EX. -15 + 7 = -8 (-7) + 15 = 8

  12. Subtracting Signed numbers • Add the opposite Ex. -15 – 7 = -22

  13. Multiplying/Dividing signed numbers • If there are an even number of (-), then the answer is (+) EX. (-2)(3)(-4) • If there are an odd number of (-), then the answer is (-) EX. (-2)(-3)(-4) = 24 = -24

  14. Adding/Subtracting Fractions • Must have a common denominator 3 12 10 12

  15. Multiplying fractions • Must write as improper fraction • Multiply the numerators • Multiply the denominators

  16. Dividing Fractions • Write as improper fractions • “When you have 2 fractions and you want to divide, flip the second fraction and multiply.”

  17. Adding/Subtracting Decimals • Line up the decimals • Add/subtract as normal • Write the decimal point in the answer

  18. Multiplying Decimals • Multiply as normal (ignore the decimals) • Count how many spaces over you need to place the decimal point in the answer

  19. Dividing Decimals • If the divisor (outside the house) has a decimal point in it, then you have to move the decimal to the end. • Move the decimal point in the dividend (inside the house) the same number of places.

More Related