Scientific Notation Beginning

Scientific Notation is a mathematical expression used to represent a decimal number between 1 and 10 multiplied by ten.

• True

• False

Write 0.00000707 in scientific notation.

• 707 x 10^-8

• 7.07 x 10⁶

• 707 x 10⁸

• 7.07 x 10^-6

Write 8.213 x 10⁶ in standard form.

• 82,130,000

• 8,213,000

• 0.0000008213

• 8,213

Arrange the numbers from least to greatest:

255,000,000 ; 2.2 x 10^-3 ; 3.1 x 10^-7 ; 310,000

• 2.2 x 10^-3 ; 310,000; 3.1 x 10^-7 ; 255,000,000

• 310,000 ; 2.2 x 10^-3 ; 3.1 x 10^-7; 255,000,000

• 3.1 x 10^-7 ;2.2 x 10^-3 ; 310,000; 255,000,000

• 2.2 x 10^-3 ; 3.1 x 10^-7 ; 310,000 ; 255,000,000

50.1 x 10^-3 > 4.8 x 10^-1

(Hint: 50.1 x 10^-3 is not in scientific notation you must move the decimal left and add the number of times you moved the decimal to the exponent.)

• True

• False

Multiply:
(3.4 x 10⁵)(1.2 x 10^-3)

• 4.08 x 10^-8
• 4.8 x 10²
• 4.08 x 10²
• 4.08 x 10^-15

Divide:
(6.9 x 10⁷) / (2.3 x 10^-3)

• 3 x 10¹⁰
• 3 x 10⁴
• 3 x 10^-4
• 3 x 10^-11

Write the answer in scientific notation.

7.3 x 10⁵ + 3.7 x 10⁴ =

• 76.7 x 10⁵

• 7.67 x 10⁵

• 7.67 x 10⁴

• 767 x 10 ⁶

Write the answer in scientific notation.
5 x 10⁸ -   3.4 x 10⁸  =

• 2.4 x 10⁸
• 2.4 x 10⁰
• 1.6 x 10⁰
• 1.6 x 10⁸

New York's population of cats is 2 x 10⁹ and Delaware's population of dogs is 2 x 10⁸. How many times greater is New York's population of dogs than Delaware's population of ?

• About 2 times

• About 20 times

• About 10 times

• 1 x 10² times