Report

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 10 8 = 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 NEGATIVE exponent •#’s greater than 1 have a POSITIVE exponent Starter 1. Expand: 4.4x104 2. Write in Scientific Notation: 870 3. Write in scientific notation: .0000019 4. 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 1. Write in standard form(expand): 8.39 × 106 2. Write in scientific notation: 0.000000002567 3. Write 56 760 000 000 in scientific notation 4. Challenge- write in sci. notation: 6.357 Practice Question • • • • • • • 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) Answer • • • • • • • 6.57 x 101 5.45 x 10-3 2.245 x 107 88 500 0.003400 6.0 x 105 6.0x102