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

Fill in the Blanks

3. Amy wants to write the number 5600000000 in Scientific Notation. What number should they write for the power of 10?

Fill in the Blanks

4. Julia needs to write the number 0.00000156 in Scientific Notation. What number should they write for the power of 10?

Fill in the Blanks

5a. Convert this from Scientific Notation to Standard Notation:

Fill in the Blanks

5b. Convert this from Scientific Notation to Standard Notation:

Fill in the Blanks

5c. Convert this from Scientific Notation to Standard Notation:

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?

Fill in the Blanks

6c. Write this number as a value in Standard Form.

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?