Recognize and Use Scientific Notation

Recognize and Use Scientific Notation - Transcript

Scientific Notation

0806 2 1 Recognize and use scientific notation

When using Scientific Notation there are two kinds of exponents positive and negative Positive Exponent 2 35 x 108 Negative Exponent 3 97 x 10 7

When changing scientific notation to standard notation the exponent tells you if you should move the decimal With a positive exponent move the decimal to the right 4 08 x 103 4 0 8 Don t forget to fill in your zeroes

When changing scientific notation to standard notation the exponent tells you if you should move the decimal With a negative exponent move the decimal to the left 4 08 x 10 3 4 0 8 Don t forget to fill in your zeroes

An easy way to remember this is
If an exponent is positive the number gets larger so move the decimal to the right If an exponent is negative the number gets smaller so move the decimal to the left

The exponent also tells how many spaces to move the decimal

In this problem the exponent is 3 so the decimal moves 3 spaces to the right

4 08 x 103 4 0 8

The exponent also tells how many spaces to move the decimal

4 08 x 10 3 4 0 8 In this problem the exponent is 3 so the decimal moves 3 spaces to the left

Try changing these numbers from Scientific Notation to Standard Notation 1 9 678 x 104 2 7 4521 x 10 3 3 8 513904567 x 107 4 4 09748 x 10 5 96780 0074521 85139045 67 0000409748

When changing from Standard Notation to Scientific Notation
1 First move the decimal after the first whole number

3 2 5 8

2 Second add your multiplication sign and your base 10 3 2 5 8 x 10 3 Count how many spaces the decimal moved and this is the exponent 3 2 5 8 x 10 3
32 1

When changing from Standard Notation to Scientific Notation
4 See if the original number is greater than or less than one If the number is greater than one the exponent will be positive

348943 3 489 x 105

0000000672 6 72 x 10 8

If the number is less than one the exponent will be negative

Try changing these numbers from Standard Notation to Scientific Notation 1 9872432 2 0000345 3 08376 4 5673
9 872432 x 106 3 45 x 10 5 8 376 x 102 5 673 x 103