Categorize Real Numbers
Tell whether 0.3 is a real number, a rational number, an irrational number, an integer, or a whole number. List all categories that apply.
real, rational
If a = -0.2, find -a and |a|.
0.2 and 0.2
-4/5 + 11/12
NO CALCS. Simplify.
7/60
Use the distributive property to simplify.
-3(y + 9)
-3y - 27
5 and -5
Tell whether the negative square root of 8 is a real number, a rational number, an irrational number, an integer, or a whole number. List all categories that apply.
real, irrational
If a = 7/8, find -a and |a|.
-7/8 and 7/8
Evaluate y - (2.4 - x) when x = 2 and y = -3.
NO CALCS. Simplify.
-3.4
Use the distributive property to simplify.
(z - 4)(-z)
-z2 + 4z
Without calculating, approximate the negative square root of 142 to the nearest integer.
-12
Tell whether -15 is a real number, a rational number, an irrational number, an integer, or a whole number. List all categories that apply.
real, rational, integer
Order the numbers from least to greatest:
-5.2, -3/8, -6, 0.3, -1/4
-6, -5.2, -3/8, -1/4, 0.3
2.5(-4y)(-2)
NO CALCS. Simplify.
20y
Use the distributive property to simplify.
3(x - 2) + 14
3x + 8
Evaluate -7 times the square root of x when x = 36
-42
Tell whether the positive square root of 49 is a real number, a rational number, an irrational number, an integer, or a whole number. List all categories that apply.
real, rational, integer, whole
Order the numbers from least to greatest:
2.1, 0, -13/10, -1.38, 3/5
-1.38, -13/10, 0, 3/5, 2.1
-14/15 divided by -7/3
NO CALCS. Simplify.
2/5
Use the distributive property to simplify. No calcs.
9.1 - 4(m + 3.2)
-3.7 - 4m
Is this conditional statement true or false? If false, give a counterexample.
If a number is a perfect square, then it is not a whole number.
False, 9 is a perfect square and a whole number
Tell whether the positive square root of 90 is a real number, a rational number, an irrational number, an integer, or a whole number. List all categories that apply.
real, irrational
Order the numbers from least to greatest:
positive square root of 15, -4.3, 4.2, 0, negative square root of 25
negative square root of 25, -4.3, 0, positive square root of 15, 4.2
(-18n - 9)/ -9
NO CALCS. Simplify.
2n + 1
Use the distributive property to simplify. No calcs.
5n + 1/2(8n - 7)
The area of a square painting is 3600 square inches. Find the side length of the painting.
60 inches