A _____ ______ is the result of repeated multiplication.
positive exponent
What does (7.49)5 mean?
(7.49)(7.49)(7.49)(7.49)(7.49)
Write the number 400,000,000 in Scientific Notation.
4 * 108
Find the product of (2 * 103) and (3 * 102). Express your answer in Scientific Notation.
6 * 105
When we want to find the square root of a number, we use a special sign. What is this sign called and what does it look like?
A radical
A way of expressing a number as a product of a factor between 1 and 10, including 1, and a power of 10.
Scientific Notation
How would we express x-6 with a positive exponent?
1/x6
Write the number 0.0003495 in Scientific Notation.
3.495 * 10-4
Find the quotient of (9 * 105) and (3 * 102). Express your answer in Scientific Notation.
3 * 103
What is the square root of 16?
4
Define the term square root.
A square root of a number is one of its two equal factors.
List the following terms in order from least to greatest: 33, 24, 5, 100, 4-2, 5-1
4-2 < 5-1 < 100 < 5 < 24 < 33
Express the number 7.49 * 103 in standard form.
7,490
Find the product of (1.5 * 10-5) and (2 * 107). Express your answer in Scientific Notation and Standard Form.
3 * 102
300
What are the square roots of 225 and 196?
15 and 14
What does a negative exponent represent?
A negative exponent represents repeated division.
Simplify the following expression:
(k * x3 * k4) / (k * x * x)
k4x
The radius of the Moon is about 1,738,000 meters. Express this in Scientific Notation.
1.738 * 106
In 1922, the population of the United States was about 1.1 * 108. In the past 100 years, the population has tripled in size. What is the population now?
Express your answer in standard form.
330,000,000 (about three-hundred thirty million)
Which of the following are perfect square roots?
225, 400, 269, 111, 144, 84, 49
225, 400, 144, and 49
What is the format of a number written in Scientific Notation?
a * 10n
where a is at least 1 and less than 10 and n is an integer
Simplify the expression:
Determine which of the following expressions are in Scientific Notation:
2 * 103 6 * 103.5 12 * 10-4 10 * 10-2
3 * 10-18 1.5 * 10-20
2 * 103
3 * 10-18
1.5 * 10-20
Estimate the quotient of (5.983 * 108) and (2.145 * 103)
3 * 105
Estimate the square root of 175
The square root of 175 is between 13 and 14, but closer to 13.