Which is larger? #0.5mg or 0.01082mg#

3 Answers
Nov 25, 2017

0.5 mg

Explanation:

It will be 0.5 mg because just simply put, see it is just like 0 is smallest 1 is larger 2 is more larger and so on. Here, it is 0 and 5, in which 5 is larger, to know which is larger, do the following steps
1. Make them both equal to each other decimals.
Which in this case will make 0.50000 and 0.01082
2.One by one, see which is larger
First, there is a 0 in #color(red)0 .5# and #color(red)0 .01082#
So they are both equal
Second, after decimals
5 is larger than 0 in #0. color(red)5# and #0. color(red)0 1082#
Therefore, 0.5 mg is larger than 0.01082mg

Nov 26, 2017

Write the choices as money.

Explanation:

Write each choice as cents.

To do that, just look at the first two numbers after the decimal point.
That's how we write money -- the pennies are counted in the two numbers following the decimal point

#0color(red).5# is the same as $0.50
This amount is also called 50ȼ.

In this case, you had to add your own zero to get two numbers after the decimal point.
...................

#0color(red)(.01)cancel(082)# is the same as $0.01
This amount is also called 1 ȼ

In this case, you had to delete three numbers to get it down to exactly only two numbers after the decimal point.
.........................

Once you write the numbers as money, you can tell which one is larger.

50ȼ compared to 1 ȼ

Easy peasy.
....................................

Example:
Which amount is larger -- a or b?
a) 3.4725
b) 3.325699

Write the choices as money.

a) 3.47#cancel(25)#
This means $3.47

b) 3.32#cancel(5699)#
This means $3.32
......................

Notice that just adding more numbers to the end of b) does not make it larger than a).
Those numbers don't count because -- no matter how many you add -- they will never make b) as large as #$3.47#

Even if it said #$3.321999999999#, it still has only #32ȼ# in pennies, so just ignore those additional numbers.

#$3.32cancel(1999999999)#

Nov 26, 2017

#0.5mg# is bigger.

Explanation:

Write the same number of place holders or decimal places.

Compare the size of the digits in each place holder.

In #0color(blue)(.5)0000# there are #5/10" "larr# a bigger number

In #0color(blue)(.0)1082# there are #0/10" "larr# a smaller number

So #0.5# is bigger,

Compare the fractions: #5000/100000 and 1082/100000#

#5000 > 1082#