Positive Exponents
Evaluate 43
64
Evaluate 3-8
1/6561
What is 6,700,000 expressed in scientific notation?
6.7 * 106
What is 0.0000829 in scientific notation?
8.29 * 10-5
The mass of the sun is 2*1027 metric tons or 2*1030 kilograms. How many kilograms are in one metric ton?
103 or 1000
Evaluate 23*25
28 or 256
Evaluate 8-2 ÷ 8-4
82 or 64
What is 7.034 * 109 in standard notation?
7,034,000,000
What is 1.045 * 10-6 in standard notation?
0.000001045
Why can't the exponents be added in the problem 123*113?
The exponents can't be added because they don't have the same base number.
Evaluate 67÷ 65
62 or 36
Evaluate 5-2 * 5-3
5-5 or 0.00032
A single brown bat can eat around 1,000 mosquitos in one hour. In scientific notation, how many mosquitos can a brown bat eat in 10.5 hours? (In scientific notation)
1.05 * 104 mosquitos
What measurement would most likely be expressed in scientific notation: Ounces in a cup of water, the thickness of a hair, or the radius of a baseball.
The thickness of a hair
True or False: Any number to the zero power is equal to 0.
False: Any number to the zero power is 1.
True or False: When evaluating an expression using the order of operations, you should multiply before figuring out exponents.
False: If you're using PEMDAS exponents come before multiplication. The order is parenthesis, exponents, multiplication/division, addition/subtraction.
A scientist has two specimens. Specimen 1 is 5-4 millimeters long. Specimen 2 is 6-3 millimeters long. Which is smaller?
Specimen 1. 1/625 < 1/216
A baby elephant weighs around 230 pounds. If 20 elephant babies were born, how much would they weigh all together? (In scientific notation)
4.6 * 103 pounds
Is the equation 23*102 expressed correctly in scientific notation?
No. The number multiplied by 10x must be between 1 and 10.
DAILY DOUBLE! (Wager however much you want. You cannot wager more than what you have. If the question is worth more points than you have, the point value will not change.) True or False: The base number of an exponent (23) must be between 1 and 10.
False: The base number must be between 1 and 10 in scientific notation. (2.3*103).
Evaluate (23)4 ÷ 211 * (25)2
211 or 2048
Is 27 * 2-2 equal to 27 ÷ 22?
Yes. They are both equivalent to 25.
DAILY DOUBLE! (Wager however much you want. You cannot wager more than what you have. If the question is worth more points than you have, the point value will not change.) Amy can type 40 words per minute. How many hours would it take her to type 2.6 * 105 words?
108 1/3 hours or 108.33333333333... hours.
The width of a human hair is 6*10-5 inches. What's the width of 20,000 human hairs?
1.2 inches.
When a number is written in scientific notation, how can you tell right away whether or not it is greater than or equal to 1?
If the number is multiplied by 10 to a negative power it will be less than 1. If the number is multiplied by 10 to a positive power it will be greater than 1.