Scientific Notation -
The Basics
Zero & Negative Exponents
Converting to & from Scientific Notation
Scientific Notation in Real Life
Exponent-O-Rama
100
Scientific notation uses powers of what number?
10
100
Any number to the zero power is
1
100
Write this number in standard form: 4.2345 x 10^3
4234.5
100
The length of the Rio Grande River is 3,034 kilometers. Write this amount in scientific notation.
3.034 x 10^3 km
100
2.0 x 10^3 in standard notation is
2000
200
There are only a few numbers that can serve as the first number in a scientific notation. What are they?
1, 2, 3, 4, 5, 6, 7, 8, 9
200
(-47x)^0 equals
1
200
Write this number in scientific notation: 745658.82
7.4565882 x 10^5
200
The closest the moon ever gets to the Earth is 3.567 x 10^5 kilometers. Write this expression in standard form.
356,700 km
200
True or False? 7.4 x 10^5 > 0.74 x 10^6
False! 740,000 equals 740,000
300
What is the exponent in this expression? 2.13 x 10^-2
-2
300
The value of 10^-2 is . . .
0.01 or 1/100
300
Write this expression in standard form 1.9665854412 x 10^6
1966585.4412
300
The diameter of the sun is expressed in the following scientific notation: 1.392684 x 10^6 Write this distance in standard form.
1,392,684 kilometers
300
Scientific Notation or Not? Justify your answer. 0.32 x 10^2
Not! Must be one non-zero digit to the left of the decimal.
400
A positive exponent (such as the one in the example) will result in what type of rational number? 2.13 x 10^2
A rational number equal to or greater than one.
400
The value of 10^-1 is . . .
1/10 or .1
400
Write this expression in scientific notation: 0.000001234
1.234 x 10^-6
400
An atomic mass unit measures 0.00000000000000000000000166 grams Express this weight in scientific notation.
1.66 x 10^-24 grams
400
Scientific Notation or Not? Justify your answer. 34.586 x 10^-3
Not! Must have only one non-zero digit on the left side of the decimal.
500
A negative exponent (such as the one in the example) will result in what type of rational number? 2.13 x 10^-2
A decimal or fractional number less than one.
500
The value of 5^-4 is...
1/625 or 0.0016
500
5.76246 x 10^-7
0.000000576246
500
The diameter of a proton is 2 x 10^-14 meters Write this distance in standard form.
0.00000000000002 meters
500
Which of the following is equivalent to 36,000 x 10,000? A 3.6 × 10^5 B 3.6 × 10^6 C 3.6 × 10^7 D 3.6 × 10^8
D
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