Please compare and contrast some similarities and differences

Please compare and contrast some similarities and differences between these two numbers: 1, 234, 000, 000 and 1. 234 x 10¹²

Main Idea and Vocabulary Key Concept: Scientific Notation Example 1: Express Large Numbers in Standard Form Example 2: Express Small Numbers in Standard Form Example 3: Express Numbers in Scientific Notation Example 4: Express Numbers in Scientific Notation Example 5: Compare Numbers in Scientific Notation

• Express numbers in scientific notation and in standard form. • Scientific Notation: writing a number as the product of a factor and a power of 10. The factor must be greater than or equal to 1 and less than 10.

Express Large Numbers in Standard Form Express 8. 26 105 in standard form. 8. 26 105 = 8. 26 100, 000 = 826, 000 105 = 100, 000 Move the decimal point 5 places to the right

Express 3. 7 104 in standard form. A. 370, 000 B. 37, 000 C. 3, 700 D. 370 1. 2. 3. 4. A B C D

Express Small Numbers in Standard Form Express 3. 47 10– 6 in standard form. 3. 47 10– 6 = 3. 47 0. 000001 = 0. 00000347 10– 6 = 0. 000001 Move the decimal point 6 places to the left.

Express 4. 8 10– 3 in standard form. A. 4, 800 B. 480 C. 0. 048 D. 0. 0048 1. 2. 3. 4. A B C D

Express Numbers in Scientific Notation Express 231, 800, 000 in scientific notation. 231, 800, 000 = 2. 318 1, 000 = 2. 318 108 The decimal point moves 8 places to the left. The exponent is positive.

Express 583, 000 in scientific notation. A. 5. 83 105 B. 5. 83 104 C. 5. 83 103 D. 5. 83 102 1. 2. 3. 4. A B C D

Express Numbers in Scientific Notation Express 0. 00662 in scientific notation. 0. 00662 = 6. 62 0. 001 = 6. 62 10– 3 The decimal point moves 3 places to the right. The exponent is negative.

Express 0. 00035 in scientific notation. A. 3. 5 10– 6 B. 3. 5 10– 5 C. 3. 5 10– 4 D. 3. 5 104 1. 2. 3. 4. A B C D

Compare Numbers in Scientific Notation GEOGRAPHY Canada has an area of about 1. 0 107 square miles. Mexico has an area of about 7. 6 105 square miles. Which country has the greater area? Order the numbers according to their exponents. 7. 6 105 < 1. 0 107 Answer: So, Canada has the greater area.

Replace ● with <, >, or = to make a true statement. 5. 26 × 10– 2 ● 8. 14 × 10– 3 A. < B. > C. = 1. 2. 3. A B C

Please compare and contrast some similarities and differences between these two numbers: 1, 234, 000, 000 and 1. 234 x 10¹²

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