# Assistance required for following

assistance required for following plz

3 questions that have driven me up the wall

## Homework Statement

0.5km2 is the same area as
a)5x10*6m2
b)5x10*12mm2
c)5x10*9cm2
d)5x10*13mm2

10*6m=1km2

## The Attempt at a Solution

0.5x10*6= 500,000 the answer is a) i dont understand what iv done wrong

q2

## Homework Statement

0.04m3 is the same volume as
a)4x10*6mm3
b)40dm3
c)4x105cm3
d)4x10*2dm3

## Homework Equations

in 1m3=10*9mm
1x10*9x0.04=4x10*7??

## Homework Statement

5x10*8mm2 is the same as
a)500cm2
b)5x10-4km2
c)5m2
d)5x10-2m2
my workings
10*6mm=1m2
1/10*6=1x10-6
1x10-6x5x10*8=5x10*2
the answer is d my answer doesnt come as -2 as it should

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common guyz i'm dying

Your solution is correct, if there was a choice for meters squared.

You'll need to convert that to mm^s, or cm^2 in order to determine which choice is correct. Working within scientific notation makes it easier, i.e rather than .5 km^2, you could write it as .5 * (10^3 m) ^2
When you square a number with an exponent, you multiply the exponents. Thus, 10^3 squared is 10^6. Thus that equals .5 * 10^6 or in proper scientific notation, 5 * 10^5

the prefix "kilo" can be replaced with 10^3
the prefix "centi" can be replaced with 10^-2
and the prefix "milli" can be replaced with 10^-3

It might be quicker to just convert everything (the choices) to regular SI units.

Thus, something like 15 cubic millimeters would look like this
15 * (10^-3 meters)^3 = 15* 10^-9m^3 or 1.5*10^-8m^3

Your solution is correct, if there was a choice for meters squared.

You'll need to convert that to mm^s, or cm^2 in order to determine which choice is correct. Working within scientific notation makes it easier, i.e rather than .5 km^2, you could write it as .5 * (10^3 m) ^2
When you square a number with an exponent, you multiply the exponents. Thus, 10^3 squared is 10^6. Thus that equals .5 * 10^6 or in proper scientific notation, 5 * 10^5

the prefix "kilo" can be replaced with 10^3
the prefix "centi" can be replaced with 10^-2
and the prefix "milli" can be replaced with 10^-3

It might be quicker to just convert everything (the choices) to regular SI units.

Thus, something like 15 cubic millimeters would look like this
15 * (10^-3 meters)^3 = 15* 10^-9m^3 or 1.5*10^-8m^3
if my methods are correcct why are all my answers wrong?

Gokul43201
Staff Emeritus