Prefixes Prep answers

Prefixes worksheet

Mathematical Prefixes

Prefix	Symbol	Name	Multiplier
femto	f	quadrillionth	10-15
pico	p	trillionth	10-12
nano	n	billionth	10-9
micro	µ	millionth	10-6
milli	m	thousandth	10-3
kilo	k	thousand	103
mega	M	million	106
giga	G	billion	109
tera	T	trillion	1012
peta	P	quadrillion	1015

When you are given a variable with a prefix you must convert it into its numerical equivalent in standard form before you use it in an equation. 

Convert the following:

 

1.4 kW = 1.4x10³W                                                                       10 μC = 10x10^-6C

 

24 cm = 24x10^-2m                                                                            340 MW = 3.40x10⁸W

 

46 pF = 46x10^-12F                                                                            0.03 mA = 0.03x10^-3A

 

52 Gbytes = 52x10⁹bytes                                                              43 kΩ =  43x10³Ω

 

0.03 MN =   0.03x10⁶N                                                                  83 Pm = 83x10¹⁵m

 

 

Now convert between different prefixes

 

5.46m to cm =   546cm                                                 65mm to m = 0.065m

 

 

3cm to m = 0.03m                                                           0.98m to mm = 980mm

 

 

34kW to GW =   0.000034GW = 34x10^-6GW        76nN to kN = 76x10^-12kN

Challenge Task

1. What is 5.2 mm³ in m³?

5.2x10-9m³

 

 

2. What is 24cm² in m²?

24x10^-4m²

 

 

3. What is  0.96 x 10⁶ m² in km²?

0.96km²