Scientific Notation Dress Rehearsal

Scientific Notation Dress Rehearsal

Scientific Notation must be written with a decimal that is

• Greater than 1

• Smaller than 10

The exponent on Scientific Notation means different things:

• A positive exponent means the number is large

• A negative exponent means the number is small

To determine how many times larger one number is than another:

• Put the number with the larger power on top (if the powers are the same, put the larger decimal on top).

• Divide the DECIMALS ONLY in your calculator.

• Subtract the powers of 10.

• Rewrite with your new decimal x 10 to the power of your subtracted powers.

• Put the whole thing in your calculator to finish multiplying.

Multiple Choice

1. The weight of a bumblebee is 0.000441 pounds. Write this value in Scientific Notation.

• 4.41 x 10⁴

• 4.41 x 10^-4

• -4.41 x 10⁴

• -4.41 x 10^-4

Multiple Choice

2. The distance from Earth to Saturn is about 889,000,000 miles. Write this value in Scientific Notation.

• 8.89 x 10⁸

• 8.89 x 10^-8

• 8.89 x 10⁹

• 8.89 x 10⁶

Multiple Choice

6a. Is this a number larger than 1 or smaller than 1?

• Larger than 1

• Smaller than 1

Open Ended

6b. What does the E part of the display mean?

Open Ended

7. Jupiter and Saturn are the two gas giants in our solar system. Jupiter has a mass of 1.898 x 10²⁷ and Saturn has a mass of 5.69 x 10²⁶. How many times greater is the mass of Jupiter to Saturn?

Open Ended

8a. Teresa wrote the number 5,030,000,000 in Scientific Notation as 5.3 x 10⁷. She did this incorrectly. Explain where and how she did this incorrectly

Multiple Choice

8b. What should she have written?

• 5.03 x 10⁹

• 5.03 x 10^-9

• 5.3 x 10⁹

• 5.3 x 10⁷

Open Ended

9. Shaun and Lex are arguing over which number is larger between 3.45 x 10⁸ and 7.14 x 10⁶. Shaun says 3.45 x 10⁸ is larger, while Lex says 7.14 x 10⁶ is larger. Who is correct in their argument and explain how you know?

Open Ended

10. Canada is more than 5 times larger than Mexico. However, the population of Mexico is approximately 1.21 x 10⁸ and the population of Canada is approximately 3.58 x 10⁷. How many times greater is the Mexican population?