Scientific Notation Using Addition, Subtraction, Multiplication, Division

A compact way of writing numbers that are very large or very small.

How can powers of ten simplify multiplication and division?

• Powers of ten only apply to whole numbers.

• Powers of ten are only useful for addition and subtraction.

• Powers of ten simplify multiplication and division by allowing easy shifting of the decimal point and simplifying calculations through addition or subtraction of exponents.

• Powers of ten complicate calculations by requiring more steps.

If A= 10^3 x 10^-4 x 10^5 and B= 10^6/10^-3x10^2, what is the value of A/B?

• 10^-6

• 10^-4

• 10^0

• 10^4

• 10^6

How do you multiply two numbers in scientific notation?

• By adding the exponents and multiplying the coefficients.

• By multiplying the coefficients and adding the numbers.

• By adding the coefficients and multiplying the exponents.

• By multiplying the coefficients and subtracting the exponents.

(8 x 10⁴) + (4 x 10⁴)

• 12 x 10⁴

• 1.2 x 10⁵

• 1.2 x 10⁹

• 1.2 x 10⁸

Add using scientific notation.
(5.2 x 10⁷) + (3.01 x 10⁴)

• 5.20301 x 10¹¹

• 520301 x 10⁷

• 5.20301 x 10⁷

• 5.20301 x 10⁸

Give the sum in scientific notation.

(4.8 x 10⁸) + (5.4 x 10⁸)

• 1.02 x 10⁸

• 1.02 x 10⁹

• 9.2 x 10⁸

Add using scientific notation.
(5.2 x 10⁷) + (3.01 x 10⁴)

• 5.20301 x 10¹¹

• 520301 x 10⁷

• 5.20301 x 10⁷

• 5.20301 x 10⁸

Write the answer in scientific notation.
7.3 x 10⁵  +   3.7 x 10⁵  =

• 11.0 x 10⁵

• 1.1 x 10¹⁰

• 1.10 x 10¹¹

• 1.1 x 10 ⁶

Find the combined mass of Earth and Venus. Earth is approximately 5.9 x 10²⁴ kg and Venus is approximately 4.9 x 10²² kg.

• Add

• Subtract

• Multiply

• Divide