7 2 Powers of 10 and Scientific Notation

7 -2 Powers of 10 and Scientific Notation Warm Up Evaluate each expression. 1. 123 1, 000 123, 000 2. 123 1, 000 0. 123 3. 0. 003 100 0. 3 4. 0. 003 100 0. 00003 5. 104 10, 000 6. 10– 4 0. 0001 7. 230 1 Holt Algebra 1

7 -2 Powers of 10 and Scientific Notation Warm-Up (Add to HW) Holt Algebra 1

7 -2 Powers of 10 and Scientific Notation Holt Algebra 11

7 -2 Powers of 10 and Scientific Notation Holt Algebra 1

7 -2 Powers of 10 and Scientific Notation Example 1: Evaluating Powers of 10 Find the value of each power of 10. A. 10– 6 B. 104 C. 109 Start with 1 and move the decimal point six places to the left. 0. 000001 Start with 1 and move the decimal point four places to the right. 10, 000 Start with 1 and move the decimal point nine places to the right. 1, 000, 000 Holt Algebra 1

7 -2 Powers of 10 and Scientific Notation Example 2: Writing Powers of 10 Write each number as a power of 10. A. 1, 000 B. 0. 0001 C. 1, 000 The decimal point is six places to the right of 1, so the exponent is 6. The decimal point is four places to the left of 1, so the exponent is – 4. The decimal point is three places to the right of 1, so the exponent is 3. Holt Algebra 1

7 -2 Powers of 10 and Scientific Notation Multiplying by Powers of 10 Holt Algebra 1

7 -2 Powers of 10 and Scientific Notation Example 3: Multiplying by Powers of 10 Find the value of each expression. A. 23. 89 108 23. 8 9 0 0 0 2, 389, 000 Move the decimal point 8 places to the right. B. 467 10– 3 467 0. 467 Holt Algebra 1 Move the decimal point 3 places to the left.

7 -2 Powers of 10 and Scientific Notation Scientific notation is a method of writing numbers that are very large or very small. A number written in scientific notation has two parts that are multiplied. The first part is a number that is greater than or equal to 1 and less than 10. The second part is a power of 10. Holt Algebra 1

7 -2 Powers of 10 and Scientific Notation Example 4 A: Astronomy Application Saturn has a diameter of about Its distance from the Sun is about 1, 427, 000 km. Write Saturn’s diameter in standard form. 120000 120, 000 km Holt Algebra 1 Move the decimal point 5 places to the right.

7 -2 Powers of 10 and Scientific Notation Reading Math Standard form refers to the usual way that numbers are written—not in scientific notation. Holt Algebra 1

7 -2 Powers of 10 and Scientific Notation Check It Out! Example 4 b Use the information above to write Jupiter’s orbital speed in standard form. 13000 13, 000 m/s Holt Algebra 1 Move the decimal point 4 places to the right.

7 -2 Powers of 10 and Scientific Notation Example 5: Comparing and Ordering Numbers in Scientific Notation Order the list of numbers from least to greatest. Step 1 List the numbers in order by powers of 10. Step 2 Order the numbers that have the same power of 10 Holt Algebra 1

7 -2 Powers of 10 and Scientific Notation Check It Out! Example 5 Order the list of numbers from least to greatest. Step 1 List the numbers in order by powers of 10. 2 10 -12, 4 10 -3, 5. 2 10 -3, 3 1014, 4. 5 1030 Step 2 Order the numbers that have the same power of 10 Holt Algebra 1

7 -2 Powers of 10 and Scientific Notation Lesson Quiz: Part I Find the value of each expression. 1. 3, 745, 000 2. 0. 00293 3. The Pacific Ocean has an area of about 6. 4 х 107 square miles. Its volume is about 170, 000 cubic miles. a. Write the area of the Pacific Ocean in standard form. b. Write the volume of the Pacific Ocean in scientific notation. 1. 7 108 mi 3 Holt Algebra 1

7 -2 Powers of 10 and Scientific Notation Lesson Quiz: Part II Find the value of each expression. 4. Order the list of numbers from least to greatest Holt Algebra 1