Question

from prefix unit to prefix unit difference in zeros/decimal places/steps move decimal left or right? km kilo meters m no prefix meters 3 right mg gg ml l kj mj μs ms b kb cm mm cl μl problems 1. convert the following to grams (g): before converting difference in zeros/decimal places/steps move to left or right? after converting 1.0 kg g 2.5 kg g 0.045 kg g 100 mg g 2400 mg g

Explanation:

Step1: Recall metric - prefix conversion

1 kg = 1000 g, 1 mg=0.001 g.

Step2: Convert 1.0 kg to g

Since 1 kg = 1000 g, for 1.0 kg, we multiply by 1000. So 1.0 kg = 1000 g. The difference in decimal places is 3 and we move the decimal 3 places to the right.

Step3: Convert 2.5 kg to g

Multiply 2.5 by 1000. 2.5×1000 = 2500 g. The difference in decimal places is 3 and we move the decimal 3 places to the right.

Step4: Convert 0.045 kg to g

Multiply 0.045 by 1000. 0.045×1000 = 45 g. The difference in decimal places is 3 and we move the decimal 3 places to the right.

Step5: Convert 100 mg to g

Since 1 mg = 0.001 g, for 100 mg, we multiply 100 by 0.001. 100×0.001 = 0.1 g. The difference in decimal places is 3 and we move the decimal 3 places to the left.

Step6: Convert 2400 mg to g

Multiply 2400 by 0.001. 2400×0.001 = 2.4 g. The difference in decimal places is 3 and we move the decimal 3 places to the left.

For the table - filling part above the problems:

From	prefix	unit	To	prefix	unit	Difference in zeros/decimal places/steps	Move decimal left or right?
Mg	mega	grams	Gg	giga	grams	3	right
mL	milli	liters	L	no prefix	liters	3	left
kJ	kilo	joules	mJ	milli	joules	6	left
μs	micro	seconds	ms	milli	seconds	3	right
B	no prefix	bytes	kB	kilo	bytes	3	right
cm	centi	meters	mm	milli	meters	1	right
cL	centi	liters	μL	micro	liters	4	right

Answer:

Before converting	Difference in zeros/decimal places/steps	Move to left or right?	After converting
2.5 kg	3	right	2500 g
0.045 kg	3	right	45 g
100 mg	3	left	0.1 g
2400 mg	3	left	2.4 g