Nokea
Which number system is commonly used in the United States?
- A. Tertiary
- B. Decimal
- C. Napoleonic
- D. Binary
Correct Answer: B
Rationale: The correct answer is B: Decimal. The decimal number system, based on powers of 10, is the most commonly used number system in the United States and many other parts of the world. It employs 10 digits (0-9) and is used for everyday calculations, commerce, and representation of numbers in various contexts. The use of the decimal system simplifies arithmetic operations and aligns with the way people count using their ten fingers, making it intuitive and widely adopted.
You may also like to solve these questions
How many ounces are in 3 gallons?
- A. 256 oz
- B. 384 oz
- C. 512 oz
- D. 128 oz
Correct Answer: B
Rationale: To convert gallons to ounces, you should multiply by the conversion factor of 128 (1 gallon = 128 ounces). Therefore, to find the number of ounces in 3 gallons, you calculate: 3 gallons x 128 ounces/gallon = 384 ounces. Hence, there are 384 ounces in 3 gallons.
2.5:150 :: 20:x = ?
- A. X = 3000
- B. X = 1000
- C. X = 1500
- D. X = 1200
Correct Answer: D
Rationale: The analogy in the question presents the relationship between 2.5 and 150 as 2.5 multiplied by 60 equals 150. To find the value of x, we should determine what number, when multiplied by 20, equals x. Following the same pattern as the initial analogy, 20 multiplied by 60 equals 1200. Hence, x = 1200, making choice D the correct answer.
Ratio and Proportion: 200:2::20:X (Enter numeric value only.)
- A. 2
- B. 0.2
- C. 4
- D. 10
Correct Answer: B
Rationale: Correct Answer: B (0.2)
Rationale:
To solve this proportion problem, we can set up the equation:
200/2 = 20/X
Simplify the left side:
100 = 20/X
Cross multiply to solve for X:
100X = 20
Divide by 100 to isolate X:
X = 20/100
X = 0.2
Summary:
- Choice A (2) is incorrect as it does not match the calculated value of X.
- Choice C (4) is incorrect as it is not the correct answer derived from the proportion.
- Choice D (10) is incorrect as it does not align with the calculated value of X.
What is the result of adding 4/3 + 7/3?
- A. 3 2/3
- B. 1 5/6
- C. 2 1/3
- D. 1 1/6
Correct Answer: A
Rationale: To add the fractions 4/3 and 7/3, combine the numerators: (4 + 7)/3 = 11/3. The sum 11/3 can be expressed as the mixed number 3 2/3. Therefore, the correct answer is A) 3 2/3.
Multiply: 3 2/11 x 2 1/5, reduced to lowest terms =
- A. 5 3/16
- B. 6 2/55
- C. 385/55
- D. 7
Correct Answer: D
Rationale: To multiply mixed numbers, convert them to improper fractions. 3 2/11 = 35/11, 2 1/5 = 11/5. Multiply: (35/11) x (11/5) = 385/55. Simplify to lowest terms = 7, hence the correct answer is D. Choices A, B, and C are incorrect as they do not properly convert and multiply the mixed numbers.