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.

• standard form

• scientific notation

Express Numbers in Standard Form

A. Express 3 × 105 in standard form.

Express Numbers in Standard Form

B. Express 4.395 × 104 in standard form.

Express Numbers in Standard Form

C. Express 6.79 × 10–6 in standard form.

A. A

B. B

C. C

D. D

A. Express 5 × 104 in standard form.

A. A

B. B

C. C

D. D

B. Express 2.614 × 106 in standard form.

A. A

B. B

C. C

D. D

C. Express 8.03 × 10–4 in standard form.

Express Numbers in Scientific Notation

A. Express 800,000 in scientific notation.

Express Numbers in Scientific Notation

B. Express 64,000 in scientific notation.

Express Numbers in Scientific Notation

C. Express 0.0119 in scientific notation.

A. A

B. B

C. C

D. D

A. Express 65,000 in scientific notation.

A. A

B. B

C. C

D. D

B. Express 95,000,000 in scientific notation.

A. A

B. B

C. C

D. D

C. Express 0.00042 in scientific notation.

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

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

Order Numbers in Scientific Notation

SPACE The diameters of Neptune, Saturn, and Uranus are 4.9 × 104 km, 1.2 × 105 km, and 5.1 × 104 km, respectively. Order the planets from greatest to least diameter.

Step 1 Order the numbers according to their exponents.

Saturn has the greatest exponent so it is the largest.

Order Numbers in Scientific Notation

5.1 > 4.9

Uranus Neptune

5.1 × 104 > 4.9 × 104

Answer: So, the order is Saturn, Uranus, and Neptune.

Step 2 Order the numbers with the same exponent by comparing the factors.

A. A

B. B

C. C

D. D

The diameters of Earth, Jupiter, and Mercury are 1.55 × 108 km, 7.79 × 108 km, and 5.80 × 107 km, respectively. Order the diameters from smallest to largest diameter.