My daughter needs to use PROPORTION to solve metric conversions. Can you please help? The question are for the
following conversions:
g=kg ___g = 5.114 kg
km=m 0.5 km = ___m
These are the other conversions that
we need to make:
ml=L
g=mg
cm=m
kg=g
km=m 0.5 km = ___m
mm=m
cm=mm
Just not sure of the formula to use
with 'a proportion'
Thank you so much!!
God has blessed us with your answer!!
Thank you for helping us have a good
start this morning!
Hope you have a great day!
Round 33.56 to the nearest tenth?
Julia has 66 red marbles, 30 blue marbles, and 42 yellow marbles. What is the greatest number of bags into which Julia can divide the marbles so that each bag has a equal number of each color?
Julia has 66 red marbles, 30 blue marbles, and 42 yellow marbles. What is the greatest number of bags into which Julia can divide the marbles so that each bag has a equal number of each color?
i new that
Of course! I'd be happy to help you and your daughter understand how to use proportion to solve metric conversions.
To solve metric conversions using proportion, you'll need to set up a ratio or fraction where both the numerator and denominator represent the same quantity in different units. Then, you can use cross-multiplication to solve for the unknown value.
Let's start with the first example:
g = kg ___g = 5.114 kg
To set up a proportion, you need to create a fraction with the known values on one side and the unknown value on the other side, like this:
g / kg = ___g / 5.114 kg
Next, you can cross-multiply:
g * 5.114 kg = kg * ___g
Simplifying:
5.114g kg = kg * ___g
To isolate the unknown value, divide both sides of the equation by the known value:
(5.114g kg) / kg = ___g
Simplifying further:
5.114g = ___g
Now, you have found the unknown value. In this case, the answer is just 5.114g.
Let's move onto the next example:
km = m 0.5 km = ___m
Again, set up a proportion:
km / m = 0.5 km / ___m
Cross-multiplication:
km * ___m = m * 0.5 km
Simplifying:
___m km = m * 0.5 km
To isolate the unknown value, divide both sides by km:
___m = 0.5 m
Therefore, the answer is 0.5m.
Now, let's go through the remaining conversions and apply proportions in a similar way.
ml = L:
ml / L = ___ml / 1 L
Cross-multiplication:
ml * 1 L = L * ___ml
___ml = L
g = mg:
g / mg = ___g / 1 mg
Cross-multiplication:
g * 1 mg = mg * ___g
___g = mg
cm = m:
cm / m = ___cm / 1 m
Cross-multiplication:
cm * 1 m = m * ___cm
___cm = cm
kg = g:
kg / g = 1 kg / ___g
Cross-multiplication:
kg * ___g = g * 1 kg
___g = g / kg
mm = m:
mm / m = ___mm / 1 m
Cross-multiplication:
mm * 1 m = m * ___mm
___mm = mm
cm = mm:
cm / mm = ___cm / 1 mm
Cross-multiplication:
cm * 1 mm = mm * ___cm
___cm = cm / mm
By following these steps, you can convert between different metric units using proportion. Remember to set up a fraction with the known values and the unknown value, cross-multiply, and then isolate the unknown value.
I hope this explanation helps you understand how to use proportion to solve metric conversions! Please let me know if you have any further questions.
1) since 1 kg = 1000 g
then:
1000 g / 1 kg = x / 5.114 kg
x = (5.114 kg * 1000 g) / 1 kg
x = 5114 g
2) since 1 km = 1000 m
then:
1000 m / 1 km = x / 0.5 km
x = (0.5 km * 1000 m) / 1 km
x = 500 m
*** just do the same method for the remaining ones.. here's the rest:
1000 mL = 1 L
1 g = 1000 mg
100 cm = 1 m
1 kg = 1000 g
1000 mm = 1 m
1 cm = 10 mm