Nicholas Zhao Teaches Math

CBE: Algebra Prep

Category focus

Number and Operations

Classify real numbers, estimate square roots, compare values, and use scientific notation.

Questions

15

Skill type

number and-operations

Study mode

Practice + review

Sample questions

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The points on the number line represent the values of four different numbers. A B C D 0 1 2 3 4 Which point best represents the value of 3 ?

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$Set Q and Set Z are subsets of the real number system. Q = {rational numbers} Z = {integers} Which Venn diagram best represents the relationship between Set Q and Set Z? Real numbers$ Open full-size question

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$Answer A: Z , because all rational numbers are integers Q Real numbers$
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$Answer B: Q , because some integers are not rational numbers Z Real numbers Q$
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$Answer C: , because all integers are rational numbers Z Real numbers$
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$Answer D: , because the rational numbers and the integers Q Z have no elements in common$

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The Venn diagram shows the relationship among several sets of numbers.

Where should be placed in the Venn diagram?

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The radius of the planet Neptune is approximately 15,300 miles. How is this number of miles written in scientific notation?

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At its core, the sun can reach temperatures as high as 27 million degrees Fahrenheit, or . How is this temperature written in scientific notation?

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Given the inequality which value of x makes the inequality true?

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$Which Venn diagram correctly represents the relationship between rational numbers and irrational numbers? Real numbers$ Open full-size question

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$Answer A: Rational Irrational , because rational numbers and irrational numbers numbers numbers have no numbers in common Real numbers$
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$Answer B: Rational Irrational , because some irrational numbers are also numbers numbers rational numbers Real numbers Irrational$
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$Answer C: numbers , because all rational numbers are also irrational numbers Rational numbers Real numbers Rational$
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$Answer D: numbers , because all irrational numbers are also rational numbers Irrational numbers$

Question

$Point Q is shown on the number line. Q 5 6 7 Which value is best represented by point Q?$ Open full-size question

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$Answer A: 5.4$
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$Answer B: 29.5$
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$Answer C: 35.5$
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$Answer D: 5.9$