I need these checked, thanks!
1. a) 8.95cm to meters= 0.0985m
b) 1298.4g to kilograms = 1.3kg
c) 129cm to millimeters = 1290mm
d) 2452 mL to liters = 2.452L
2) A cyclist rides at an average speeed of 24mi/h. If she wants to bike 15km, how long (in hours) must she ride?
5hrs is what I got.
3) A classroom has a volume of 285 m^3. What is the volume in the following units?
a) km^3 = .285
b) dm^3 = 28.5
c) cm^3 = 28500
1a has a typo. Why did you round b?
2 is way off. 15km is about ten miles, it will take less than thirty min to get there.
3. These are wrong. Here is the reason...
when writing something such as cm^3, that does not mean a centi of a cubic meter, it means a cubic centimeter. Think of it as (cm)^3
So 285m^3 = 10^6 cm^3/m^3 *285m^3= 285000 cm^3
notice on the cm, instead of the 100, it is 100^3m ir 10^6. Yes, there are a million cubic centimeters in a meter cubed.
1.a) To convert from centimeters to meters, you divide the value in centimeters by 100.
So, 8.95 cm to meters = 8.95 / 100 = 0.0895 m
You made a mistake in your calculation. The correct answer is 0.0895 m, not 0.0985 m.
1.b) To convert from grams to kilograms, you divide the value in grams by 1000.
So, 1298.4 g to kilograms = 1298.4 / 1000 = 1.2984 kg
You rounded the answer to 1.3 kg, which is correct. It is common practice to round to one decimal place when dealing with kilograms.
1.c) To convert from centimeters to millimeters, you multiply the value in centimeters by 10.
So, 129 cm to millimeters = 129 * 10 = 1290 mm
You calculated the answer correctly.
1.d) To convert from milliliters to liters, you divide the value in milliliters by 1000.
So, 2452 mL to liters = 2452 / 1000 = 2.452 L
You also calculated this correctly.
2) To determine the time it takes for the cyclist to bike a certain distance, you need to use the formula:
Time = Distance / Speed
Given that the cyclist wants to bike 15 km and her average speed is 24 mi/h, you need to convert the distance to miles before using the formula.
15 km is approximately 9.32 miles.
Time = 9.32 mi / 24 mi/h = 0.3883 h
You calculated that it would take 5 hours, which is incorrect. The correct answer is approximately 0.3883 hours, or about 23 minutes.
3) When converting volume units, it's important to understand the relationship between those units.
a) To convert from cubic meters (m³) to cubic kilometers (km³), you divide the value in cubic meters by 1,000,000,000.
So, 285 m³ to km³ = 285 / 1,000,000,000 = 0.000000285 km³
You made an error in your calculation. The correct answer is 0.000000285 km³, not 0.285 km³.
b) To convert from cubic meters (m³) to cubic decimeters (dm³), you multiply the value in cubic meters by 1000.
So, 285 m³ to dm³ = 285 * 1000 = 285000 dm³
You calculated the answer correctly.
c) To convert from cubic meters (m³) to cubic centimeters (cm³), you multiply the value in cubic meters by 1,000,000.
So, 285 m³ to cm³ = 285 * 1,000,000 = 285000000 cm³
You made a mistake in your calculation. The correct answer is 285,000,000 cm³, not 28,500 cm³.
It's important to understand the exponent representation in units like cm³. It means "cubic centimeters," not "centi of a cubic meter." In this case, it represents the quantity (cm) raised to the power of 3, indicating a volume measurement.
Overall, you had some correct answers and some mistakes in your calculations. Paying attention to units and using the correct conversion formulas will help you get accurate results.