Question

Rank the following quantities in order of decreasing mass.

1kg,1cg,100g,50cg,1dg,1Gg,50 million ng

Answer 1

Order from largest to smallest :

: 1 Gg > 1 kg> 100 g >50 cg > 1 dg > 50 million ng > 1 cg

Step-by-step explanation:

g = grams

1) kg = kilo grams

1 kg = 1000 g

2)1 cg = 0.01 g

3) 100 g = 100 g

1 g = 1 g

4) 50 cg

1 cg = 0.01 g

50 cg = 0.5 g

5) 1 dg = 0.1 dg

6) 1 Gg = giga gram

1 Gg = 1,000,000 g

7) 50 million ng =
`5* 10^7 ng`

`ng = 10^(-9) g`

50 million ng =
`5* 10^7* 10^(-9)g = 0.05 g`

Order from largest to smallest :

:1,000,000 g > 1000 g > 100 g >0.5 g > 0.1 g > 0.05 g> 0.01 g

: 1 Gg > 1 kg> 100 g >50 cg > 1 dg > 50 million ng > 1 cg

Answer 2

To rank these measurements, we take a look at the prefixes of each measurement. These are called the SI prefixes. They are used to form decimal multiples of SI units to avoid very large and very small values of number. The ranking is:

1Gg
1kg
100g
1dg
1cg
50cg
50 million ng