Download Unit 2 Test – Part 1 Study Guide Answer Key A number that can be

Unit 2 Test – Part 1 Study Guide
Answer Key
1.) A number that can be written as a ratio of 2 integers; includes repeating and
terminating decimals. Examples: 3.4, ¾, 0.3 repeating, square root of 25, -5, -3.65
2.) A number that cannot be written as a ratio of 2 integers, includes non-terminating
and non-repeating decimals. Examples: pi, 0.56715……, square root of 2, square
root of 7
3.) Square root of 58 is between 7 and 8 on the number line.
Square root of 22 is between 4 and 5 on the number line.
Negative square root of 10 is between -3 and -4 on the number line.
4.) Square root of 17 is irrational because it is a non-terminating, non-repeating
decimal.
3 is rational because is terminates or can be written as a ratio as 3/1.
-2.5 is rational because is terminates or can be written as a ratio as -5/2.
-7/4 is written as a ratio as -7/4.
Square root of 16 is rational because it simplifies to 4 which terminates and can be
written as a ratio as 4/1.
4.18 (18 repeats) is rational because it is a repeating decimal.
To write and work with very large and very small numbers. Scientific notation always
contains a coefficient between 1 and less than 10 multiplied by a power of 10. Very
small real life examples: size of atoms, parts of atoms, etc. Very large real life
examples: distance to planets and stars, number of seconds in a year, etc.
5.) 0.067
3,479,000,000
6.) 7.83 x 10-4
8.43 x 109
7.) By comparing real numbers, convert one of the numbers to the other one you are
comparing it to.
a. For this example, when you convert the fraction into a decimal form by
dividing, the fraction is larger than the decimal form that it is being compared
to.
b. On this example with the radical, you will need to approximate the square root
of 2 but using the process of your perfect squares. You do know that it is
between 1 and 2 on the number line, and since you know that it is closer to 1,
you will look at the lower range when you begin the multiplication process.
After a few attempts, 1.4 is bigger than the fraction it is being compared to.
The fraction when converting to a decimal can be written as 1.25.
8.) Multiply: 1.5 x 10-2
9.)
1/27
Divide: 8.0 x 105
8x7
a/4
±21
±14
10.)
±15
11.)
1/y3
12.)
One
13.)
25x4 y14
81/b3
14.)
x2/5yz3
m15p4 /n6
15.)
.
Check with the Properties of Exponents graphic organizer.
5
4
a12c2/b15
1
1