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Starter. 1 . Count the number of stars and give your best estimate. 2. Why is it difficult to work with LARGE numbers?. Scientific Notation . Scientific Notation- a way to write a number multiplied by a power of ten. . Makes numbers easier to work with. EXAMPLE.
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Starter 1. Count the number of stars and give your best estimate. 2. Why is it difficult to work with LARGE numbers?
Scientific Notation • Scientific Notation- a way to write a number multiplied by a power of ten. • Makes numbers easier to work with
EXAMPLE • 3.0 x 108= 300,000,000 • number between 1 and 10 • always there • the number of places the decimal point is moved.
EXAMPLE • 2.7 x 10 –3 = 0.0027 • number between 1 and 10 • always there • the number of places the decimal point is moved.
Scientific Notation • #’s less than 1 (0.3043948) have a NEGATIVEexponent • #’s greater than 1 have a POSITIVEexponent
Starter • Expand: 4.4x104 • Write in Scientific Notation: 870 • Write in scientific notation: .0000019 • Expand : 8.9 x10-3
Multiplication – multiply numbers before the x sign, add the exponents • Division – divide the numbers before the x sign, subtract exponents
Scientific Notation • Addition/Subtraction-exponents must be the same. • If exponents aren’t same, change the numbers before the x sign to do the math. • If exponents are same, do math, keep exponent same.
Starter • Write in standard form(expand): 8.39 × 106 • Write in scientific notation: 0.000000002567 • Write 56 760 000 000 in scientific notation • Challenge- write in sci. notation: 6.357
Practice Question Answer 6.57 x 101 5.45 x 10-3 2.245 x 107 88 500 0.003400 6.0 x 105 6.0x102 • 65.7 • 0.00545 • 22 450 000 • 8.85 x 104 • 3.400 x 10-3 • (2.0x102) x (3.0x103) • (2.0x102) + (4.0x102)