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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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.

Vocabulary standard form scientific notation

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

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

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

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

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

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

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

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

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

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

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

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

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?

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?

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.

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.

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.