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Then/Now You have already compared and ordered integers. (Lesson 2–1) Express numbers in standard form and in scientific notation. Compare and order numbers.

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Presentation on theme: "Then/Now You have already compared and ordered integers. (Lesson 2–1) Express numbers in standard form and in scientific notation. Compare and order numbers."— Presentation transcript:

1 Then/Now You have already compared and ordered integers. (Lesson 2–1) Express numbers in standard form and in scientific notation. Compare and order numbers written in scientific notation.

2 Vocabulary standard form scientific notation

3 Example 1 Express Numbers in Standard Form A. Express 3 × 10 5 in standard form.

4 Example 1 B Express Numbers in Standard Form B. Express 4.395 × 10 4 in standard form.

5 Example 1 C Express Numbers in Standard Form C. Express 6.79 × 10 –6 in standard form.

6 A.A B.B C.C D.D Example 1 CYP A A. Express 5 × 10 4 in standard form.

7 A.A B.B C.C D.D Example 1 CYP B B. Express 2.614 × 10 6 in standard form.

8 A.A B.B C.C D.D Example 1 CYP C C. Express 8.03 × 10 –4 in standard form.

9 Example 2 A Express Numbers in Scientific Notation A. Express 800,000 in scientific notation.

10 Example 2 Express Numbers in Scientific Notation B. Express 64,000 in scientific notation.

11 Example 2 C Express Numbers in Scientific Notation C. Express 0.0119 in scientific notation.

12 A.A B.B C.C D.D Example 2 CYP A A. Express 65,000 in scientific notation.

13 A.A B.B C.C D.D Example 2 CYP B B. Express 95,000,000 in scientific notation.

14 A.A B.B C.C D.D Example 2 CYP C C. Express 0.00042 in scientific notation.

15 Example 3 Solve Problems Using Scientific Notation DIMES A dime is 1.35 × 10 –3 meters thick. What would the height of a stack of one million dimes be in scientific notation?

16 A.A B.B C.C D.D Example 3 A quarter is 1.75 × 10 –3 meters thick. What would be the height of a stack of one billion quarters in scientific notation?

17 Example 4 Order Numbers in Scientific Notation SPACE The diameters of Neptune, Saturn, and Uranus are 4.9 × 10 4 km, 1.2 × 10 5 km, and 5.1 × 10 4 km, respectively. Order the planets from greatest to least diameter. Step 1Order the numbers according to their exponents. Saturn has the greatest exponent so it is the largest.

18 Example 4 Order Numbers in Scientific Notation 5.1>4.9 UranusNeptune 5.1 × 10 4 >4.9 × 10 4 Answer: So, the order is Saturn, Uranus, and Neptune. Step 2Order the numbers with the same exponent by comparing the factors.

19 A.A B.B C.C D.D Example 4 The diameters of Earth, Jupiter, and Mercury are 1.55 × 10 8 km, 7.79 × 10 8 km, and 5.80 × 10 7 km, respectively. Order the diameters from smallest to largest diameter.

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