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Transcript
Using Exponents to Write Large Numbers By Monica Yuskaitis For Learning to Happen! •Clear your desk of anything that may distract you. •Remove all other thoughts from your mind. •Pay close attention. •Try all the examples. •Ignore all other distractions. Exponents of Ten What Is the Standard Form of These Tens? 2 100 10 3 1,000 10 4 10,000 10 5 10 100,000 Exponents of Ten Notice that the number of zeros matches the exponent number 2 10 3 10 4 10 5 10 100 1,000 10,000 100,000 Multiplying Multiples of Ten Multiply These Numbers 100 x 2 = 200 1,000 x 3 = 3,000 10,000 x 7 = 70,000 100,000 x 9 = 900,000 Multiplying Multiples of Ten Did you notice that all you have to do is multiply 1 x whole number & add the zeros behind? 100 x 2 = 200 1,000 x 3 = 3,000 10,000 x 7 = 70,000 100,000 x 9 = 900,000 Short Cut for Writing Large Numbers Combine these two steps for writing large numbers. 2 6 x 10 = 600 6 x (10 x 10) = 6 x 100 = 600 Short Cut for Writing Large Numbers Remember! The exponent is the same as the number of zeros. 2 6 x 10 = 600 What is the Standard Number? 2 7 x 10 = 700 What is the Standard Number? 3 8 x 10 = 8,000 What is the Standard Number? 4 9 x 10 = 90,000 What is the Standard Number? 2 4 x 10 = 400 What is the Exponent Form? 500 = 5 x 10 2 What is the Exponent Form? 3 6,000 = 6 x 10 What is the Exponent Form? 4 90,000 = 9 x 10 What is the Exponent Form? 700,000 = 7 x 10 5 Simplifying Large Numbers With Scientific Notation By D. Kritikos Extremely large numbers are often expressed in scientific notation EXAMPLE #1 36,000,000 36 1,000,000 36 10 6 In Scientific Notation, a decimal point must be inserted to the right of the first number. An extra zero must be added for the extra decimal position. 3.6 10 3.6 10,000,000 36,000,000 7 EXAMPLE 2: 88 10 88 1,000 88,000 3 8.8 10 8.8 10,000 88,000 4 Solve the following using scientific notation with decimals: 72,000,000 = 72 1,000,000 7.2 10,000,000 7.2 10 7 48,000,000 = 48 1,000,000 4.8 10,000,000 4.8 10 7 26,000,000 26 1,000,000 2.6 10,000,000 2.6 10 7 3,600 36 100 3.6 1,000 3.6 10 3 36,000 36 1,000 3.6 10,000 3.6 10 4 5,500 55 100 5.5 1,000 5.5 10 3 55,000 55 1,000 5.5 10,000 5.5 10 4 55,000,000 55 1,000,000 5.5 10,000,000 5.5 10 7 Let’s go practice!