Interactive multiple-choice quiz: الوحدة الثانية ريفيل: Real Numbers
This exercise focuses on writing fractions as decimals and determining their type. It specifically asks for the decimal equivalent of a negative fraction with a repeating pattern.
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اختبار شهادة تدريبي مؤقت للصف والمادة والفصل نفسه.
اختر إجابة واحدة لكل سؤال. عند الاختيار ستظهر النتيجة فورًا: الأخضر صحيح، والأحمر خطأ، وسيظهر تفسير الإجابة مباشرة إن كان متوفرًا. وبعد آخر سؤال ستظهر الدرجة النهائية تلقائيًا.
To convert $-\frac{2}{9}$ to a decimal, divide 2 by 9. $2 \div 9 = 0.222...$, which is a repeating decimal represented as $0.\bar{2}$. Since the fraction is negative, the result is $-0.\bar{2}$.
Question 3
2
Points: 10
Is the decimal $-0.\overline{2}$ terminating or repeating?
Question 4
3
Points: 10
Write $4\frac{13}{25}$ as a decimal.
Question 5
4
Points: 10
Is the decimal 4.52 terminating or repeating?
Question 6
5
Points: 10
Write $-0.\overline{7}$ as a fraction in simplest form.
Question 7
6
Points: 10
Write $1.\overline{42}$ as a mixed number in simplest form.
Question 8
7
Points: 10
At hockey practice, Ajay saved 73 out of 126 shots on goal. At this rate, about how many saves would he make out of 200 shots?
Question 9
8
Points: 10
Write $-\frac{11}{16}$ in decimal form and classify the decimal.
Question 10
9
Points: 10
Write $\frac{5}{33}$ in decimal form and classify the decimal.
Question 11
10
Points: 10
Write $4\frac{3}{8}$ in decimal form and classify the decimal.
Question 12
11
Points: 10
Write $-9\frac{11}{30}$ in decimal form and classify the decimal.
Question 13
12
Points: 10
Write $0.\overline{8}$ as a fraction in simplest form.
Question 14
13
Points: 10
Write $-0.\overline{18}$ as a fraction in simplest form.
Question 15
14
Points: 10
Write $-1.\overline{5}$ as a mixed number in simplest form.
Question 16
15
Points: 10
Write $4.\overline{45}$ as a mixed number in simplest form.
Question 17
16
Points: 10
One pint is about $\frac{5}{9}$ liter. Write $\frac{5}{9}$ as a decimal.
Question 18
17
Points: 10
Phoebe won $\frac{7}{16}$ of the competitions she entered. Write $\frac{7}{16}$ as a decimal.
Question 19
18
Points: 10
Write $5.\overline{6}$ as a mixed number in simplest form.
Question 20
19
Points: 10
Simplify $\sqrt{225}$.
Question 21
20
Points: 10
Simplify $\pm\sqrt{1.44}$.
Question 22
21
Points: 10
Simplify $-\sqrt{\frac{49}{64}}$.
Question 23
22
Points: 10
Simplify $\sqrt{-81}$ using rational numbers. If it cannot be simplified, choose the correct explanation.
Question 24
23
Points: 10
Solve y2=256.
Question 25
24
Points: 10
Simplify $\sqrt[3]{216}$.
Question 26
25
Points: 10
Simplify $\sqrt[3]{-1000}$.
Question 27
26
Points: 10
A cube-shaped box has a volume of $\frac{512}{27}$ cubic inches. Solve $s^3=\frac{512}{27}$ to find the side length s.
Question 28
27
Points: 10
Three equal-sized square windows are arranged in a row. Their total area is 108 square feet. What is the total length of the three windows?
Question 29
28
Points: 10
Simplify $\sqrt{361}$.
Question 30
29
Points: 10
Simplify $\pm\sqrt{1.96}$.
Question 31
30
Points: 10
Simplify $-\sqrt{\frac{9}{16}}$.
Question 32
31
Points: 10
Simplify $\sqrt{-441}$ using real numbers.
Question 33
32
Points: 10
Solve m2=0.04.
Question 34
33
Points: 10
Simplify $\sqrt[3]{343}$.
Question 35
34
Points: 10
Simplify $\sqrt[3]{512}$.
Question 36
35
Points: 10
A cube-shaped fountain basin has a volume of 91.125 cubic feet. Solve s3=91.125 to find its side length.
Question 37
36
Points: 10
Moesha wants to arrange 196 pepper plants in a square formation. How many plants should she place in each row?
Question 38
37
Points: 10
Determine whether $-\frac{2}{9}$ is rational or irrational.
Question 39
38
Points: 10
To which set of numbers does $\frac{21}{\sqrt{4}}$ belong?
Question 40
39
Points: 10
Select the option that lists all sets to which $-\sqrt{64}$ belongs.
Question 41
40
Points: 10
To which set of numbers does $\pi$ belong?
Question 42
41
Points: 10
Determine whether the statement is true or false: All whole numbers are natural numbers.
Question 43
42
Points: 10
Which choice correctly justifies whether all whole numbers are natural numbers?
Question 44
43
Points: 10
Determine whether the statement is true or false: All natural numbers are whole numbers.
Question 45
44
Points: 10
Which choice correctly justifies whether all natural numbers are whole numbers?
Question 46
45
Points: 10
Determine whether $-\sqrt{10}$ is rational or irrational.
Question 47
46
Points: 10
Determine whether $-\frac{3}{11}$ is rational or irrational.
Question 48
47
Points: 10
Determine whether $0.\overline{3}$ is rational or irrational.
Question 49
48
Points: 10
Determine whether $\sqrt{81}$ is rational or irrational.
Question 50
49
Points: 10
Determine whether 0 is rational or irrational.
Question 51
50
Points: 10
Determine whether $\frac{\sqrt{2}}{2}$ is rational or irrational.
Question 52
51
Points: 10
Determine whether $\sqrt{7}$ is rational or irrational.
Question 53
52
Points: 10
Determine whether $\frac{\sqrt{2}}{\sqrt{2}}$ is rational or irrational.
Question 54
53
Points: 10
Select the option that lists all sets to which $\sqrt[3]{343}$ belongs.
Question 55
54
Points: 10
Determine the number set to which $\frac{7}{\sqrt{2}}$ belongs.
Question 56
55
Points: 10
Select the option that lists all sets to which $\frac{-7}{1}$ belongs.
Question 57
56
Points: 10
Determine whether the statement is true or false: A number cannot be both irrational and an integer.
Question 58
57
Points: 10
Determine whether the statement is true or false: All integers are rational numbers.
Question 59
58
Points: 10
Estimate $\sqrt{135}$ to the nearest integer.
Question 60
59
Points: 10
Estimate $\sqrt{106}$ to the nearest tenth.
Question 61
60
Points: 10
Estimate $\sqrt[3]{51}$ to the nearest integer.
Question 62
61
Points: 10
Tobias drops a tennis ball from a height of 60 feet. The fall time is $0.25\sqrt{60}$ seconds. Truncate $\sqrt{60}$ to the tenths place, then find the time.
Question 63
62
Points: 10
A Little League base is a square with side length 14 inches. Use $\sqrt{s^2+s^2}$ to estimate its diagonal length to the nearest inch.
Question 64
63
Points: 10
Estimate $\sqrt{125}$ to the nearest integer.
Question 65
64
Points: 10
Estimate $\sqrt{55}$ to the nearest integer.
Question 66
65
Points: 10
Estimate $\sqrt[3]{70}$ to the nearest integer.
Question 67
66
Points: 10
Estimate $\sqrt[3]{923}$ to the nearest integer.
Question 68
67
Points: 10
Estimate $\sqrt{296}$ to the nearest tenth.
Question 69
68
Points: 10
Estimate $\sqrt{5}$ to the nearest tenth.
Question 70
69
Points: 10
Estimate $\sqrt{11}$ to the nearest tenth.
Question 71
70
Points: 10
Estimate $\sqrt{62}$ to the nearest tenth.
Question 72
71
Points: 10
The formula $s=\sqrt{18d}$ gives speed s for stopping distance d. If d=25 feet, estimate s by truncating $\sqrt{18d}$ to the tenths place.
Question 73
72
Points: 10
A square has an area of 32 square feet. Estimate its side length to the nearest whole number.
Question 74
73
Points: 10
Which symbol makes $\frac{\sqrt{25}}{2}\;\square\;\sqrt{6.25}$ a true statement?
Question 75
74
Points: 10
Which graph correctly plots $\frac{\sqrt{25}}{2}$ and $\sqrt{6.25}$ on a number line?
Question 76
75
Points: 10
Which symbol makes $-\sqrt{5}\;\square\;-210\%$ a true statement?
Question 77
76
Points: 10
Which graph correctly plots $-\sqrt{5}$ and $-210\%$ on a number line?
Question 78
77
Points: 10
Order the set $\left\{\sqrt{3},\frac{\pi}{2},160\%,1.3\overline{5}\right\}$ from least to greatest.
Question 79
78
Points: 10
Which graph correctly plots $1.3\overline{5}$, $\frac{\pi}{2}$, $160\%$, and $\sqrt{3}$ on a number line?
Question 80
79
Points: 10
Player 1 reached base 15 \times in 21 attempts, Player 2 reached base 14 \times in 19 attempts, and Player 3 had an on-base rate of $72.5\%$. Which player had the greatest on-base statistic?
Question 81
80
Points: 10
The fall time from a height of d feet is $\frac{\sqrt{d}}{4}$ seconds. Aiden drops a ball from 50 feet while Mason drops one from 20 feet. How much longer does Aiden's ball take? Round to the nearest hundredth.
Question 82
81
Points: 10
Complete the statement using <, >, or =: $\sqrt{11}\;\square\;3\frac{2}{3}$.
Question 83
82
Points: 10
Complete the statement using <, >, or =: $\sqrt{3}\;\square\;\sqrt{\frac{10}{2}}$.
Question 84
83
Points: 10
Complete the statement using <, >, or =: $-\pi^2\;\square\;-\sqrt{93}$.
Question 85
84
Points: 10
Complete the statement using <, >, or =: $-\sqrt{12}\;\square\;-320\%$.
Question 86
85
Points: 10
Order the set $\left\{3\frac{1}{2},\frac{10}{3},\pi,\sqrt{13}\right\}$ from least to greatest.
Question 87
86
Points: 10
Player 1 made $\frac{7}{9}$ of the foul shots, Player 2 made $72\%$, and Player 3 made 8 out of 10. Which player had the greatest statistic?
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