Math/Standard and scientific notation
posted by Sandy on .
Express each measure in standard form.
(One more thing by the way you need this few prefixes)
Tera= 10 to the 12th power
Giga= 10 to the 9th power
Mega= 10 to the 6th power
Kilo= 10 to the 3rd power
Pico= 10 to the 12th power
Nano= 10 to the 9th power
Micro= 10 to the 6th power
Milli= 10 to the 3rd power
1. 4 Megahertz
Answer: 4*10 (To the 6th power)
Which equals 4000000
2. 82 Kilobytes
Answer: 82*10 (to the 3rd power)
Which equals 82000
3. 2.3 Micrograms
Answer: .0000023
Express each number in scientific notation
1. 24000
Answer: 2.4*10 (to the 3rd power)
2. 25000000
Answer: 2.5* 10 (to the 6th power)
3. 0.08
Answer: 8*10 (to the 2nd power)
4. 15.9
Answer: 5.9*10 (to the 1st power)
5. 1000000
Answer: 1.0*10 (to the 6th power)
6. 0.0000946
Answer: 9.46*10 (to the 4th power)
Evaluate each expression. Express each result in scientific notation and standard form.
1. (4 * 10(to the 2nd power)(1.5 * 10(to the 6th power)
Answer: 6*10(to the 8th power)
2. (7.8 * 10(to the 6 power)(1* 10(to the 2 power)
Answer: 8.8*10(to the 8 power)
Evaluate each expression. Express each result in scientific and standard notation.
1. 8* 10(to the 2nd power)

2* 10(to the 3rd power)
Answer: 800000
2. Find the product of (1.2 * 10(to the 5th power) and (5 * 10(to the 4th power) mentally.
Answer: 60
3. The mass of an orchid seed is 3.5 * 10 (to the 6th power) grams. Express 3.5 * 10(to the 6th power)
Answer: 0.0000035
4. Engineering notation is similar to scientific notation. However, in engineering notaioin, the powers of ten are always mulitiples of 3, such as 10(to the 3rd power), 10(to the 6th power), 10(to the 9th power), and 10 ( to the 12th power. For example: 240000 is expressed as 240 * 10(to the 3rd power). Express 15000 ohms in scientific notation and engineering notation.
Answer: SN: 1.5 * 10(to the 4th power)
EN: 1.5* 10(to the 3rd power)
5a.
32 * 10(to the fifth power)
Answer: 3200000
5B
284 * 10(to the third power)
Answer: 284000
5C
0.76* 10(to the 2 power)
Answer: 0.0076
5D
0.09 * 10(to the 3rd power)
Answer: 0.0009

4. 15.9
Answer: 5.9*10 (to the 1st power)
I think
1.59 * 10^1 
6. 0.0000946
Answer: 9.46*10 (to the 4th power)
I think
9.46*10^5 
2. (7.8 * 10(to the 6 power)(1* 10(to the 2 power)
Answer: 8.8*10(to the 8 power)
I think
7.8 * 10^8 
On the engineering notation, you did not do them to powers of three.
Take 5c for example: 7.6*10^3
There is another way to express powers, often used on ascii keyboards, or else where powers are difficult.
1.4*10^5 would be written as 1.4E5. In older times it was 1.4Exp5, and you see some older calculators around with an Exp or E key. This notation cameabout in the early days of IBM computers (and Fortran Language). 
1. 8* 10(to the 2nd power)

2* 10(to the 3rd power)
Answer: 800000
.9*10^5 = 9 *10^4 = 90,000 
7.8*1o ^5 in standard notation

78

780,000

yygyggygg