WEBVTT
00:00:00.100 --> 00:00:03.630
What is 240000 light-years in megalight-years?
00:00:04.180 --> 00:00:08.150
Okay, so in this question, we’re being asked to convert between light-years and megalight-years.
00:00:08.220 --> 00:00:10.260
So let’s try to remember what the conversion is.
00:00:10.660 --> 00:00:18.850
We can recall that a megalight-year is defined as 1000000 light-years because the prefix mega represents 1000000 or 10 to the power of six.
00:00:19.840 --> 00:00:25.320
And so, what we can do is to divide both sides of the equation by 1000000 so that it cancels on the right-hand side.
00:00:25.320 --> 00:00:27.920
And we’ve got light-years now in terms of megalight-years.
00:00:28.240 --> 00:00:33.340
Tidying things up a little bit, we see that one millionth of a megalight-year is equivalent to one light-year.
00:00:33.700 --> 00:00:37.460
And so we want to find out what’s equivalent to 240000 light-years.
00:00:37.870 --> 00:00:49.030
We can do this by multiplying both sides of the equation by 240000 because this way on the right-hand side, we’ve got one light-year multiplied by 240000, which is the same thing as 240000 light-years.
00:00:49.140 --> 00:00:54.120
And on the left, we’ve got 240000 divided by 1000000 megalight-years.
00:00:54.450 --> 00:00:57.360
But then the fraction simplifies to 0.24.
00:00:57.360 --> 00:00:59.790
And so we have on the left 0.24 megalight-years.
00:01:00.170 --> 00:01:06.510
Hence, our answer to the question is that 240000 light-years in megalight-years is 0.24 megalight-years.