STANDARD AND SCIENTIFIC NOTATION WHAT ARE THEY Standard

STANDARD AND SCIENTIFIC NOTATION

WHAT ARE THEY? • Standard Notation: a number written as a digit and nothing else. • Scientific Notation: a way to write numbers that makes it easier to write large and small numbers. • Written in 2 parts: • A digit between 1 and 9. 9 (decimal point is after the first number) • X 10 to a power

CONVERTING FROM STANDARD NOTATION TO SCIENTIFIC NOTATION: • All you are doing is moving the decimal place! 1. Find the decimal, mark if necessary. 2. Mark where the decimal needs to go. 3. Count how many places the decimal moved: this is your power. 1. Decimal left: positive exponent 2. Decimal right: negative exponent 4. Write the number in this format: a X 10 b

EXAMPLES: STAND UP, HAND UP, PAIR-UP • 3, 462 • 0. 612 • 749 • 0. 0000015402 • 0. 0112 • 88, 996

EXAMPLE ANSWERS • 3. 462 X 103 • 6. 12 X 10 -1 • 7. 49 X 102 • 1. 5402 X 10 -6 • 1. 12 X 10 -2 • 8. 8996 X 104

CONVERT FROM SCIENTIFIC NOTATION TO STANDARD NOTATION 1. Look at the exponent. This is how far you move the decimal. 1. Positive number: move the decimal right. 2. Negative number: move the decimal left. 2. Drop the X 10 b 3. Move the decimal and fill in the zeroes for spaces.

EXAMPLES • 2. 602 X 104 • 3. 21 X 10 -2 • 1. 8900521 X 104 • 6. 5 X 10 -6 • 7. 945 X 105 • 3. 500684 X 100

EXAMPLE ANSWERS • 26020 • 0. 0321 • 18, 900. 521 • 0. 0000065 • 794, 500 • 3. 500684

IN THE GIVEN PAIRS, WHICH NUMBER IS BIGGER? • Hint: It may help to convert them from scientific notation to standard numbers to compare. • 0. 45 or 5. 6 X 10 -2 • 6. 45 X 105 or 6. 45 X 108 • 5 X 10 -4 or 6 X 10 -3 • 54. 3 X 10 -5 or 5. 43 X 10 -4