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Scientific Notation 07/26/12lntaylor ©

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Table of Contents Learning Objectives Writing numbers in Standard Notation Writing numbers in Scientific Notation Practice 07/26/12lntaylor ©

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LO1: LO2: Define and differentiate standard and scientific notation Rewrite notations in different forms 07/26/12lntaylor © TOC Learning Objectives

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Def1: Def2: Standard Notation is the normal way of writing any number using decimals and commas Scientific Notation is the scientific was of writing very large and very small numbers using a non zero digit followed by a decimal multiplied by a 10 with an exponent 07/26/12lntaylor © TOC Definitions

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PK1:Knowledge of mathematical place holders 07/26/12lntaylor © TOC Previous Knowledge

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07/26/12lntaylor © TOC 100 millions 10 millions 1 millions 100 thousands 10 thousands 1 thousands Hundreds Tens Ones Decimal Tenths Hundredths Thousandths 987,654,321.987

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Standard Notation 07/26/12lntaylor © TOC

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Three thousand six hundred and fifty three Step 1Write the number above in Standard Notation 07/26/12lntaylor © TOC 3,653

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Now you try Five hundred and fifty million, six hundred thousand and four one-hundreds 07/26/12lntaylor © TOC

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Five hundred and fifty million, six hundred thousand and four one-hundreds Step 1Write the number above in Standard Notation 07/26/12lntaylor © TOC 550,600,000.04

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Now you try Five hundred and seven thousandths 07/26/12lntaylor © TOC

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Five hundred and seven thousandths Step 1Write the number above in Standard Notation 07/26/12lntaylor © TOC 0.507

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Scientific Notation 07/26/12lntaylor © TOC

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Three thousand six hundred and fifty three Step 1Write the number above in Standard Notation first 07/26/12lntaylor © TOC 3,653 Step 2 Rewrite the number with TWO decimals Find the first non zero digit and put a decimal after it Leave the existing decimal in place Step 3Write the first non zero digit number followed by a decimal 3. Step 4Write the rest of the numbers to the right of the decimal 653 Step 5Write a X 10 x 10 Step 6Count the numbers between the decimals 3 Step 7That number becomes the exponent = 3.653.

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Now you try Five hundred and fifty million, six hundred thousand and four one-hundreds 07/26/12lntaylor © TOC

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Five hundred and fifty million, six hundred thousand and four one-hundreds Step 1Write the number above in Standard Notation first 07/26/12lntaylor © TOC 550,600.04 Step 2 Rewrite the number with TWO decimals Find the first non zero digit and put a decimal after it Leave the existing decimal in place Step 3Write the first non zero digit number followed by a decimal 5. Step 4Write the rest of the numbers to the right of the decimal 5060004 Step 5Write a X 10 x 10 Step 6Count the numbers between the decimals 5 Step 7That number becomes the exponent = 5.50600.04

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Now you try Five hundred and seven thousandths 07/26/12lntaylor © TOC

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Five hundred and seven thousandths Step 1Write the number above in Standard Notation first 07/26/12lntaylor © TOC 0.507 Step 2 Rewrite the number with TWO decimals Find the first non zero digit and put a decimal after it Leave the existing decimal in place Step 3Write the first non zero digit number followed by a decimal 5. Step 4Write the rest of the numbers to the right of the decimal 07 Step 5Write a X 10 x 10 Step 6Count the numbers between the decimals Step 7That number becomes the exponent =.5.07 Step 8Remember that a negative exponent means the standard number is between 0 and 1

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Practice 07/26/12lntaylor © TOC

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07/26/12lntaylor © TOC Standard NotationScientific Notation 3,459,876.987 912 0.876560001 0.000000605 10 1 > 3.459876987 x 10 6 > > > > > 9.12 x 10 2 8.76560001 x 10 -1 6.05 x 10 - 7 1.0 x 10 1 1.0 x 10 0 clear answers

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07/26/12lntaylor © TOC Scientific NotationStandard Notation 3.473 x 10 7 - 9.12 x 10 -5 7.60001 x 10 5 6.05 x 10 -7 1.0 x 10 -1 9.0567 x 10 0 > > > > > > 34,730,000 - 0.0000912 760,001 0.000000605 0.1 9.0567 clear answers

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