1 / 18

SCIENTIFIC NOTATION: Abbreviating numbers

SCIENTIFIC NOTATION: Abbreviating numbers. 1. 2. 3. 4. 5. What is an EXPONENT?. A SUPER SCRIPT after “x 10” or “E” Ex: “x 10 5” or “ E 5” Denotes how many powers of ten 10 5 = 10 x 10 x 10 x 10 x 10 Answer is a 1 followed by zeros (defined by the exponent) . 100,000. 5.

tranquilla
Télécharger la présentation

SCIENTIFIC NOTATION: Abbreviating 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. SCIENTIFIC NOTATION:Abbreviating numbers

  2. 1 2 3 4 5 What is an EXPONENT? • A SUPERSCRIPT after “x 10” or “E” • Ex: “x 105” or “E5” • Denotes how many powers of ten • 105 = 10 x 10 x 10 x 10 x 10 • Answer is a 1 followed by zeros (defined by the exponent) 100,000 5

  3. BIG NUMBERS Positive Exponents 5,987,774,231,541

  4. Numbers smaller than 1 Negative Exponents 0.0000076319

  5. Moving the decimal (+) MOVE THE DECIMAL TO THE RIGHT 3 TIMES 5 34 x 10 . 5 34 0 . .

  6. -4 2 78 x 10 . Moving the Decimal (-) MOVE THE DECIMAL TO THE LEFT TIMES 0 0 0 0 2 78 . .

  7. PRACTICE: • 4.67 x 105 • 1.94 x 101 • 7.69 x 100 • 2.48 x 10-2 • 7.35 x 10-6 • 2.52 E -4 = 467000 = 19.4 = 7.69 = 0.0248 = 0.00000735 = 0.000252

  8. Converting to Scientific Notation • FIND THE DECIMAL • MOVE THE DECIMAL SO THE BASE NUMBERIS LESS THAN 10, GREATER THAN 1 • COUNT THE NUMBER OF JUMPS 6420 . . .

  9. Cont. 4. ROUND ANSWERS SO THEY HAVE THREE (3) DIGITS STARTING FROM THE LEFT 5. ADD “X 10” (or E) 6. THE NUMBER OF JUMPS IS YOUR EXPONENT! 3 642 0 x 10 . 1 2 3

  10. PRACTICE: • 56420 • 123 • 718134 • 6132 = 5.64 x 104 = 1.23 x 102 = 7.18 x 105 = 6.13 x 103

  11. NEGATIVE EXPONENTS 3 If your number is less than 1 you will have a negative exponent! - 000345 345 x 10 . . .

  12. PRACTICE: • 0.0184 • 0.000567 • 0.06 • 0.00057912347 = 1.84 x10-2 = 5.67 x10-4 = 6.00 x10-2 = 5.79 x10-4

  13. Three Number Rule • If there are not enough numbers add zeros • If there are too many numbers round

  14. Rounding 7 • START FROM THE LEFT AND COUNT THE FIRST 3 NUMBERS • IF THE FOURTH NUMBER IS A 5 OR ABOVE ROUND UP! • DROP UNNECESSARY NUMBERS 5 5 447 446 527 x 10 x 10 . 1 2 3

  15. PRACTICE: =2.38 x 104 =1.15 x 10-4 =4.69 x 105 =1.00 x 100 =2.10 x 106 =2.00 x 10-6 Put the problem in Sci. Not. 1st :Round • 23794 • 0.0001146 • 468992 • 0.9999 • 2100100 • 0.000002

  16. SCIENTIFIC NOTATION PRACTICE Convert the following to normal notation: • 5.23 x 103 • 2.90 x 10-9 • 4.18 x 10-5 • 2.71 E7 Convert the following to SCIENTIFIC notation (ROUND TO 3 DIGITS): • 0.00854 • 349001 • 0.03 • 1238 Round to 3 DIGITS (you have to put them in sci. not. first!) • 6349 • 0.3487 • 7956143278 • 0.0000000000000799

  17. Prefixes: • Super- • Above • Ex: X2 • Sub- • Below • Ex: X2

  18. Exponent Rule! • DECIMAL MOVES  • EXPONENT becomes MORE POSITIVE (+1) • DECIMAL MOVES  • EXPONENT becomes MORE NEGATIVE (-1) 0.214 x 10-2 2.14 x 10-2 2.14 x 10-3

More Related