Question

solve the problems below. show all work.
teks 8.2d worksheet
some pre problems below. show all work
a
which number from the list below best represents point a?
-1, -0.5, 0, 0.5, 1
(number line with points a, b, c, d, e)
b
order the numbers from least to greatest: -3.03, -22/7, -300%, -3.14, -√10
c
which number from the list below best represents point e?
7/16, -51%, -0.49, π/4, √2/4
(number line with points a, b, c, d, e)
d
order the numbers from greatest to least: 5/7, √2/2, 71%, 7.01
e
which two numbers have the largest value?
1/3, 33%, 0.3, 3.3×10⁻¹, √0.11
f
which number from the list below best represents point d?
7/16, -51%, -0.49, π/4, √2/4
(number line with points a, b, c, d, e)
solve the problems below. show all work.
teks 8.4b worksheet
a
jenny buys 7 snacks for $8.75. which graph has a slope that best represents the average cost of snacks in dollar per snack?
(graph i and graph ii with scatter plots)
b
what is the slope of the graph to the right?
(graph with a line)
c
patty walks 4 miles in 32 minutes. which graph has a slope that best represents patty’s average rate of speed during her walk?
(graph iii and graph iv with distance-time graphs)

Explanation:

Let's solve part B (ordering numbers from least to greatest) in the first row, second column (labeled B). The numbers are \(-3.03\), \(-\frac{22}{7}\), \(-300\%\), \(-3.14\), \(-\sqrt{10}\).

Step 1: Convert all numbers to decimal form.

• \(-3.03\) is already a decimal.
• \(-\frac{22}{7} \approx -3.1429\) (since \(22 \div 7 \approx 3.1429\)).
• \(-300\% = -3.0\) (because \(300\% = 3\), so the negative is \(-3\)).
• \(-3.14\) is already a decimal.
• \(-\sqrt{10} \approx -3.1623\) (since \(\sqrt{10} \approx 3.1623\)).

Step 2: Order the decimals from least to greatest.

Now we have the decimals: \(-3.1623\) (from \(-\sqrt{10}\)), \(-3.1429\) (from \(-\frac{22}{7}\)), \(-3.14\), \(-3.03\), \(-3.0\) (from \(-300\%\)).

Ordering from least (most negative) to greatest (least negative):
\(-\sqrt{10} \approx -3.1623\), \(-\frac{22}{7} \approx -3.1429\), \(-3.14\), \(-3.03\), \(-300\% = -3.0\)

Answer:

\(-\sqrt{10}\), \(-\frac{22}{7}\), \(-3.14\), \(-3.03\), \(-300\%\)