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Published byCristina Burkinshaw Modified over 2 years ago

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**SCIENTIFIC NOTATION 6.82x10 TO THE 4TH POWER!**

WHY DO WE NEED TO BE SUCCESSFUL AT THIS SKILL? IT IS A SHORTHAND WAY TO WRITE VERY LARGE NUMBERS HELPS TO AVOID MISTAKES AND MISSED ZEROS WHEN COPYING LARGE NUMBERS IS WIDELY USED IN COMPUTER PROGRAMMING AND SCIENCE PROFESSIONS IT IS ON THE EOG TEST!

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**CONVERTING SCIENTIFIC NOTATION TO STANDARD FORM:**

2.4 x 109 THIS NUMBER IS WRITTEN IN SCIENTIFIC NOTATION. TO CHANGE IT TO STANDARD FORM, SIMPLY MOVE THE DECIMAL 9 PLACES TO THE RIGHT BECAUSE THE EXPONENT OR POWER OF 10 IS 9. IF THE EXPONENT WERE TO BE NEGATIVE, YOU WOULD MOVE THE DECIMAL TO THE LEFT.

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ANSWER 2,400,000,000 DECIMAL WAS MOVED 9 SPACES TO THE LEFT BECAUSE THE EXPONENT WAS POSITIVE AND THE NUMBER 9. THE RESULT IS 2.4 BILLION!

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**CONVERTING: STANDARD FORM TO SCIENTIFIC NOTATION:**

MOVE THE DECIMAL (HIDING IN THE BACK) TO LEFT UNTIL THE NUMBER IS ONE DIGIT ONLY (1-9). COUNT THE NUMBER OF TIMES YOU MOVED THE ZERO AND MAKE THAT THE EXPONENT WITH THE 10.

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**EXAMPLE: STANDARD TO SCIENTIFIC NOTATION**

MOVE THE DECIMAL HIDING BEHIND THE 7 UNTIL THERE IS ONE DIGIT IN FRONT OF IT. SO YOU SHOULD MOVE IT BETWEEN THE 2 AND THE 4. COUNT HOW MANY SPACES YOU MOVED THE DECIMAL. YOU SHOULD HAVE MOVED IT 4 SPACES, SO RECORD THE FOUR AS YOUR EXPONENT OR POWER OF 10.

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**YOU TRY WRITE WITH SCIENTIFIC NOTATION: 543900000= 106000=**

WRITE IN STANDARD FORM: 4.82 x 102 = 7.8 x 10-3

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**RECORD THE DISTANCE AROUND EACH PLANET USING SCIENTIFIC NOTATION. **

APPLICATION GOALS RECORD THE DISTANCE AROUND EACH PLANET USING SCIENTIFIC NOTATION. RANK THE DISTANCE AROUND EACH PLANET FROM LEAST TO GREATEST USING SCIENTIFIC NOTATION. RECORD THE DISTANCE EACH PLANET IS FROM THE SUN USING SCIENTIFIC NOTATION. RANK THE DISTANCES FROM LEAST TO GREATEST USING SCIENTIFIC NOTATION. 7.8 x 10-3

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Scientific Notation. Allows us to write very big and very small numbers.

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