Scientific Notation

June 4, 2015

“Do not mistake activity with achievement.”

Objectives• Change the form of numbers into

scientific notation• Change scientific notation into

standard notation• Identify the millions, billions,

trillions… places

For five minutes, change the following into scientific notation.

• 20,000• 100,500,000• 0.00000021• 0.00000173• 120537 x 108

• 0.00002 x 1017

• 0.00000001 x 10-11

• 123 x 0.0011 x 109

Find the result.

1. (1.31 x 105) + (2.29 x 106) – (0.113 x 107)

First, change them into the same base 10. Second, FACTOR same base 10 and exponent.

2. (0.12 x 10-5) x (3.15 x 108)

First, for convenience change decimals into whole numbers.

3. First, change the decimal into base 10. Second, apply NEGATIVE EXPONENTS

English word places…

More zeros…

Page 15

• 9,500,000 people means: • 9 million, 5 hundred thousand• 9.5 x 106

• 4,000,000,000 means:• 4 billion• 4 x 109

Page 15

• 25,000,000,000,000 means:• 25 trillion• 25 x 1012

Read conveniently

• 22.4 x 109

• twenty-two point four billion• 127 x 1010

• 1.27 x 1012 One point twenty-seven trillion

• 3 x 1011

• 300 x 109 three hundred billion

• 385 x 1012

• Three hundred eighty-five trillion• 7914 x 1013

• 79.14 x 1015 seventy-nine point fourteen quadrillion

• 19 x 1014

• 1.9 x 1015 one point 9 quadrillion

• 123.5 billion baht plus 800 million baht equals how many billion baht?

• First, change to standard form (notation).

• Second, add them.• Then, change them into short word

form.

More than and less than

• Page 16-17• 12.2 billion baht is more than 11.9

billion baht by how many million baht?

• 12,200,000,000 = 11,900,000,000 + x

• 170,000,000,000 = 1,000,000,000,000 - x

Exercises

• Please complete pages 9, 10, 16 and 17

“Do not mistake activity with achievement.”