Operations with Scientific Notation

Scientific Notation

200

Is the following value in scientific notation?

(87x10¹²)

No

400

Why is 0.45x10⁴ not in scientific notation?

The number has to be between 1 and 10.

600

The rule of scientific notation is to write all exponents with a base of ____.

10

800

The length of the Amazon River in South America is  6,400 kilometers. What is the length written in scientific notation?

6.4x10³

1000

0.000045

Write this in scientific notation.

4.5x10^-5

Adding with Scientific Notation

200

(2.0x10⁴)+(2.0x10⁴)

(4x10⁴)

400

(6x10⁵)+(5x10⁵)

(1.1x10⁶)

600

(4.2x10⁴) + (4.5x10³)

(4.65x10⁴)

800

(8.2x10⁵)+(4.3x10⁷)

(4.382x10⁷)

1000

(2.5x10⁴) + (7x10³)

(3.2x10⁴⁾

Subtracting with Scientific Notation

200

(7x10³) - (3x10³)

(4x10³)

400

(5x10⁶) - (4.5x10⁶)

(5x10⁵)

600

(7.8x10³) - (6.3x10²)

(7.17x10³)

800

(8x10⁷) - (4x10⁶)

(7.6x10⁷)

1000

(8.84x10⁵) - (2.1x10³)

(8.819x10⁵)

Multiplying with Scientific Notation

200

(2.0x10⁴)(4.0x10⁷)

(8x10¹¹)

400

(5x10⁴)(7x10⁷)

(3.5x10¹²)

600

(7x10^-3)(6x10⁸)

(4.2x10⁶)

800

(1.5x10¹²)(4x10^-4)

(6x10⁸)

1000

(4.5x10³)(4x10⁷)

(1.8x10¹¹)

Dividing with Scientific Notation

200

 (3*10^8)/(3*10^3) 

(1x10⁵)

400

 (9*10^5)/(3*10^4) 

(3x10¹)

600

 (2*10^-3)/(2*10^-7) 

(1x10⁴)

800

(8*10^7)/(4*10^-2)

(2x10⁹)

1000

(8*10^-4)/(2*10^2)

(4x10^-6)