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How many kilograms are in 2000 grams?
- A. 20 kilograms
- B. 2 kilograms
- C. 0.002 kilograms
- D. 0.2 kilograms
Correct Answer: B
Rationale: To convert grams to kilograms, you need to divide by 1000 since there are 1000 grams in a kilogram. Therefore, 2000 grams divided by 1000 equals 2 kilograms. The correct answer is 2 kilograms. Remember, when converting units, it is important to keep track of the conversion factor to ensure the correct transformation of measurements. In this case, multiplying or dividing by 1000 is a common conversion for grams to kilograms, moving the decimal point three places to the left or right.
You may also like to solve these questions
Compare the relationships of these numbers: 0.045 is ______ to 0.054.
- A. less than
- B. greater than
- C. equal to
- D. not comparable
Correct Answer: A
Rationale: When comparing decimal numbers like 0.045 and 0.054, we look at their values. In this case, 0.045 is smaller than 0.054 because in decimal numbers, a larger number signifies a greater value. Therefore, the correct relationship between 0.045 and 0.054 is 'less than'. In this context, 'less than' accurately describes the relationship between the two numbers, with 0.045 being smaller than 0.054.
A man wants to get the best deal he can for gasoline, so he travels out of his way to buy gas at $2.14 a gallon instead of $2.26, which is the price at his local station. If he put 15.7 gallons in his tank, how much did he save by going to the less expensive station?
- A. $1.88
- B. $5.03
- C. $0.12
- D. $18.00
Correct Answer: A
Rationale: The correct answer is A: $1.88. To calculate the savings, we subtract the cost of gas at the local station ($2.26/gallon) from the cheaper station ($2.14/gallon): $2.26 - $2.14 = $0.12 saved per gallon. Multiply the savings per gallon by the total gallons purchased (15.7 gallons): $0.12/gallon x 15.7 gallons = $1.88 saved.
Choice B ($5.03) is incorrect as it is not the result of the correct calculation. Choice C ($0.12) is also incorrect as it represents the savings per gallon, not the total savings. Choice D ($18.00) is incorrect as it does not align with the actual savings achieved by purchasing at the cheaper station.
What is the result of dividing 0.6 by 0.12?
- A. 5
- B. 4
- C. 6
- D. 3
Correct Answer: A
Rationale: To divide 0.6 by 0.12, you can perform the operation as follows: 0.6 · 0.12 = 5. Therefore, the correct answer is 5, as the result of dividing these two numbers. When dividing decimals, you can move the decimal point to the right on both numbers until the divisor is a whole number, then divide as you would with whole numbers. In this case, you can multiply both 0.6 and 0.12 by 10 to make the divisor a whole number, resulting in 6 · 1 = 5.
Round your answer to the hundredths place: 28 — 0.6 =
- A. 46.67
- B. 0.021
- C. 17.5
- D. 16.8
Correct Answer: A
Rationale: To solve the multiplication problem 28 — 0.6, you multiply 28 by 0.6, which equals 16.8. When rounding to the hundredths place, the third decimal place is 8, which is equal to or greater than 5. Therefore, you round up the second decimal place, resulting in 16.8 rounding up to 16.80 or 16.8. Hence, the correct answer is 46.67, not 16.8.
What is the result of subtracting 9 from 28.19?
- A. 28.1
- B. 18.19
- C. 27.29
- D. 19.19
Correct Answer: D
Rationale: To find the result of subtracting 9 from 28.19, you need to subtract 9 from 28.19. The calculation is 28.19 - 9 = 19.19. Therefore, the correct answer is D, 19.19. When subtracting a whole number from a decimal number, it is essential to align the decimal points and perform the subtraction correctly. In this case, the 9 is subtracted from the 0.19, resulting in the final answer of 19.19. It's crucial to pay attention to place value and the position of the decimal point to ensure the accuracy of the result.