Rational Number Systems
Which set of numbers represents counting numbers starting from 1 (1, 2, 3, ...)?
A. Integers B. Irrational Numbers
C. Whole Numbers D. Natural Numbers
D. Natural Numbers
What is the definition of the absolute value of a rational number?
A. The opposite sign of the given number
B. The distance of the number from zero on a number line
C. The distance between a positive number and a negative number
D. The reciprocal of the given number
B. The distance of the number from zero on a number line
When comparing two negative rational numbers on a horizontal number line, which statement is true?
A. The number further to the left is greater.
B. Negative numbers cannot be ordered on a number line.
C. The number with the greater absolute value is greater.
D. The number further to the right is greater.
D. The number further to the right is greater.
What is the sum of any integer and its additive inverse?
A. -1 B. 0 C. 1
C. 0
What is the sign of the product when multiplying two negative integers?
A. Zero B. Positive C. Negative
D. Depends on absolute values
B. Positive
Which list shows the sets of numbers ordered from the smallest subset to the largest set containing it?
A. Integers ⊂ Whole ⊂ Natural ⊂ Rational
B. Natural ⊂ Whole ⊂ Integers ⊂ Rational
C. Whole ⊂ Natural ⊂ Integers ⊂ Rational
D. Rational ⊂ Integers ⊂ Whole ⊂ Natural
B. Natural ⊂ Whole ⊂ Integers ⊂ Rational
What is the absolute value of -9.9?
A. 9.91 B. 0 C. 9.9 D. −9.9
C. 9.9
Which decimal is equivalent to the fraction 3/5?
A. 0.53 B. 0.35 C. 1.66 D. 0.6
D. 0.6
What is the value of the expression −9 + 5?
A. 14 B. −4 C. 4 D. −14
B. −4
What is the product of −6⋅(−5)?
A. −30 B. −11 C. −1 D. 30
D. 30
To which classification sets does the number −7 belong?
A. Whole Numbers and Integers
B. Natural Numbers and Rational Numbers
C. Integers and Rational Numbers
D. Rational Numbers only
C. Integers and Rational Numbers
Which expression correctly represents the opposite of −6?
A. ∣−6∣ = 6 B. −6 = 6 C. ∣6∣ = −6 D. (−6) = −6
A. ∣−6∣=6
Which inequality statement correctly compares −10.25 and −15 2/3?
A. −10.25 = −15 2/3 B. −10.25 > −15 2/3
C. −10.25 ≤ −15.66 D. −10.25 < −15 2/3
B. −10.25 > −15 2/3
Which addition expression is equivalent to the subtraction problem −6 − (−2)?
A. −6 + 2 B. 6 − 2 C. 6 + 2 D. −6 + (−2)
A. −6 + 2
Evaluate the expression (−3)⋅(−2)⋅(−4).
A. 24 B. 12 C. −24 D. −9
C. −24
Why is −5.0 classified as an integer, while −5.5 is classified strictly as a rational number?
A. −5.0 is positive, whereas −5.5 is negative.
B. Integers cannot contain any decimal points.
C. −5.0 simplifies to −5, having no fractional part.
B. Integers cannot contain any decimal points.
Which inequality correctly compares ∣−4.9∣ and ∣−5∣?
A. ∣−4.9∣ > ∣−5∣ B. ∣−4.9∣ ≤ −5
C. ∣−4.9∣ < ∣−5∣ D. ∣−4.9∣ = ∣−5∣
A. ∣−4.9∣ > ∣−5∣
Which list of values is ordered from least to greatest?
A. 3/8, 33.4%, 23.6%, 0.175
B. 23.6%, 0.175, 33.4%, 3/8
C. 0.175, 33.4%, 23.6%, 3/8
D. 0.175, 23.6%, 33.4%, 3/8
D. 0.175, 23.6%, 33.4%, 3/8
What is the value of 7−(−5)?
A. 12 B. −2 C. −12 D. 2
A. 12
Evaluate the expression (−3)(−2)(−10)÷(−6).
A. 10 B. −360 C. −10 D. −1
A. 10
Which of the following numbers belongs to the set of Rational Numbers but NOT to the set of Integers?
A. 10/2 B. −12/3 C. 0 D. −3/4
D. −3/4
A submarine travels at a depth of 120 feet below sea level. Which mathematical expression represents the change in depth as a magnitude?
A. −120 = 120 B. ∣−120∣ = 120
C. (−120)2 = 14400 D. −∣120∣ = −120
B. ∣−120∣ = 120
Which rational decimal value lies strictly between 0.45 and 0.46?
A. 0.54 B. 0.457 C. 0.449 D. 0.461
B. 0.457
At 6 AM, the temperature was −11∘F. By 2 PM, the high temperature reached 13∘F. What was the overall difference in temperature?
A. 24∘F B. −2∘F C. −24∘F D. 2∘F
A. 24∘F
Gabriela starts with $42. She purchases 3 journals for $6 each and returns 8 packages of markers for a refund of $4 each. How much money does Gabriela have now?
A. $28 B. $50 C. $92 D. $56
D. $56