400 cg= ______g, 2( 800cg= ______g,3 (900 mg =_______cg, 4) 900cl= _______l, 5)2,000 l= _____kl

Question

I do not understand how to convert the above metric system math problems. Please help. I am in the fourth grade and this is my homework tonight. Thank you.

Answer 1

Hi Laldaya;

1 gram=100 centigrams=1000 milligrams

1 liter=100 centiliters

1 kiloliter=1000 liters

 

1)400 cg= ______g

(400 cg)[(1 gram)/(100 cg)]

The unit of centigrams is in the numerator and denominator.  It cancels...

(400 cg)[(1 gram)/(100 cg)]

(400)[(1 gram)/(100)]

The only unit remaining is grams.  This is what we want...

(400/100) grams

4 grams

 

2) 800cg= ______g

(800 cg)[(1 gram)/(100 cg)]

The unit of centigrams is in the numerator and denominator.  It cancels...

(800)[(1 gram)/100]

The only unit remaining is grams.  This is what we want...

(800/100) grams

8 grams

 

3) (900 mg =_______cg

(900 mg)[(1 cg)/(10 mg)]

The unit of milligrams is in the numerator and denominator.  It cancels...

(900)[(1 cg)/10]

The only unit remaining is centigrams.  This is what we want...

(900/10) cg

90 cg

 

4) 900cl= _______l

(900 cl)[(1 liter)/(100 cl)]

The unit of centiliter is in the numerator and denominator.  It cancels...

(900)[(1 liter)/100]

The only unit remaining is liters.  This is what we want...

(900/100) liter

9 liters

 

5)2,000 l= _____kl

(2000 liters)[(1 kl)/(1000 liters)]

The unit of liters is in the numerator and denominator.  It cancels...

(2000)[(1 kl)/1000]

The only unit remaining is kiloliters.  This is what we want...

(2000/1000) kl

2 kl