What is the sum of 23.5 + 7.025?
- A. 30.525
- B. 30.5
- C. 30.025
- D. 16.475
Correct Answer: A
Rationale: To find the sum of 23.5 and 7.025, align the decimal points and add the numbers as if they were whole numbers. 23.5 + 7.025 equals 30.525. Therefore, the correct answer is A, which is 30.525. When adding decimal numbers, it is essential to maintain the alignment of decimal points and add the numbers accordingly. In this case, adding 23.5 and 7.025 results in 30.525, with the decimal point staying in the same position as the numbers being added.
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What is the temperature in Fahrenheit when converted from 50°C? (Enter a numeric value only. If rounding is necessary, round to the nearest whole number.)
- A. 150°F
- B. 122°F
- C. 120°F
- D. 145°F
Correct Answer: B
Rationale: To convert Celsius to Fahrenheit, you can use the formula: F = (C — 9/5) + 32. Plugging in 50°C gives us (50 — 9/5) + 32 = 122°F. Therefore, the correct answer is 122°F. When converting temperatures between Celsius and Fahrenheit, it's important to remember the formula and apply it correctly. In this case, by substituting 50°C into the formula, it results in 122°F when rounded to the nearest whole number.
The metric system of measurement was developed in France during Napoleon's reign. It is based on what multiplication factor?
- A. The length of Napoleon's forearm
- B. 2
- C. 10
- D. Atomic weight of helium
Correct Answer: C
Rationale: The metric system of measurement is based on the factor of 10. This factor allows for easy conversion between units as they are all related by powers of 10. For example, moving from centimeters to meters involves multiplying or dividing by 10, making the system simple and efficient to use. The length of Napoleon's forearm, choice A, is not the basis for the metric system. Choice B and choice D are also incorrect as they do not align with the fundamental principle of the metric system being based on units that are interrelated by powers of 10.
Round your answer to the hundredths place: 28 divided by 0.6 =
- A. 46.67
- B. 0.021
- C. 17.5
- D. 16.8
Correct Answer: A
Rationale: To divide 28 by 0.6, you get 46.666... Rounding the answer to the hundredths place means keeping two decimal places. Since the digit after the hundredths place is 6, we round up the last decimal place to get 46.67 as the correct rounded answer.
Change 0.004 to a ratio.
- A. 3:5
- B. 4/1000
- C. 1:250
- D. 2/500
Correct Answer: C
Rationale: To convert 0.004 to a ratio, you first express it as a fraction, which is 4/1000. Simplifying this fraction gives 1/250. Therefore, the correct ratio for 0.004 is 1:250. This ratio represents the relationship between the parts, where for every 1 unit in the first part, there are 250 units in the second part. It's essential to simplify fractions to their lowest terms to express the ratio in its simplest form.
Change 8.08 to a fraction, reduced to the lowest terms.
- A. 8 1\12
- B. 88/1000
- C. 8 2/25
- D. 80/100
Correct Answer: C
Rationale: To change 8.08 to a fraction, we note that 8.08 = 8 + 0.08 = 8 + 8/100 = 8 8/100 = 8 2/25. Therefore, the correct answer is C. Option A is incorrect as it represents a mixed number. Option B is incorrect as it does not represent the decimal 8.08 as a fraction. Option D is incorrect as it does not reduce the fraction to the lowest terms.
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