Number Lines

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Algebra II › Number Lines

Questions 1 - 4

1

What are integers?

Positive, negative whole numbers and .

Positive whole numbers only.

Negative whole numbers only.

Just .

Any number that is real.

Explanation

Integers are values you would find on a number line.

They are whole numbers that exist in positive and negative values. What divides them is the number .

So integers are essentially positive, negative whole numbers and .

2

Which of the following numbers is between and $\frac{1}{2}$ ?

$\sqrt{\frac{1}{9}}$

$\textup{All values are out of bounds.}$

Explanation

The answer will lie in the range between negative one and a half. Convert all the values given to integer or fractional form.

$150%=\frac{3}{2}$

$i^4= i^2\cdot i^2 = -1\cdot -1=1$

$\sqrt{\frac{1}{9}}= \frac{1}{3}$

is undefined.

Of all the possible answers, $\sqrt{\frac{1}{9}}$ will fall between the given range.

The answer is: $\sqrt{\frac{1}{9}}$

3

Put the following numbers in order from least to greatest:

Explanation

, remembering that, then the most negative number is first, the least negative is last.

Therefore,

.

Thus when we put them in order we get,

4

For all negative values of , where , what is the correct order, from least to greatest, for the following expressions?

a) $y^{2}-x$

b) $x^{2}+x$

c) $x^{2}-y^{2}+y$

c,b,a

c,a,b

a,b,c

a,c,b

b,a,c

Explanation

The easiest approach to this problem is to pick a value for X, and plug it in.

If we use , then then expression

a) .

b)

c)

The order from least to greatest is C,B,A

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