Study guide
Mid-chapter 3 test
I. Find square roots.
Don’t forget, if you have a sign in the problem, you need to write the sign in the
answer!
√=5
√15= 3.872…
-√36= -6
+ - √64 = + - 8
II. Estimating square roots
You will round square roots to the nearest whole number.
Look at the number in the TENTHS place (to the right of the decimal) If the
number is 5 or higher, round up. If the number is 4 or below, the number stays
the same.
√24 = 4.89897… ≈ 5 (the 8 tells the 4 to round up to 5)
√40 = 6.3245… ≈ 6 (the 3 tells the 6 to stay the same)
III. Ordering and comparing square roots
Write the square roots as decimals and think of money when comparing.
Order from least to greatest.
√29, 17, 10
√29 = 5.39 ( think $5.39, $17, $10)
Answer: √29, 10, 17
Order from least to greatest.
√59, 7, √2
√59 = 7.68
√2= 1.41( think $7.68, $1.41, $7)
Answer: √2, 7, √59
Compare using <,>, or =
√92
>
4.76
(9.59)
Compare using <,>, or =
√71
>
√10
(8.42)
(3.16)
IV. Classifying numbers
You will be able to use your foldable on your test.
*Remember:
Natural numbers are whole numbers, integers, and rational.
Whole numbers are integers and rational.
Integers are rational.
Rational numbers can be written as fractions. (decimals end)
Irrational numbers are numbers that can’t be written as fractions. The
decimals go on forever with no pattern.
Undefined is division by zero and a negative sign inside the square root.
Examples of natural, whole, integers, and rational numbers
2, 6, 9, 125…
Examples of whole, integers and rational number
0, 1, 9, 125, …
Examples of integers and rational numbers
-1, -2, -12, …
Examples of rational numbers
¼, ¾, .10, -.25, .89, .13 1½, …
Examples of irrational numbers
√50 (= 7.071067812…), √69, √95…. (these numbers go on forever with
no pattern)
Examples of undefined numbers
√-20, √-14,… (negative sign INSIDE the square root symbol)
10, -14, … (division by zero)
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