WEBVTT
00:00:02.320 --> 00:00:07.760
Fill in the blanks in the given figure such that the corresponding numbers in the two rows are proportional.
00:00:09.920 --> 00:00:16.300
In order for the numbers in the two rows to be proportional, each pair of values must be in the same ratio.
00:00:17.900 --> 00:00:23.370
We can use the pair of values that have both been given to us in order to work out what this ratio is.
00:00:25.050 --> 00:00:30.590
The ratio of the bottom row divided by the top is 60 divided by six.
00:00:32.180 --> 00:00:33.560
This is equal to 10.
00:00:34.260 --> 00:00:41.190
This means that numbers in the bottom row of the table are 10 times as large as the corresponding number in the top row.
00:00:42.660 --> 00:00:47.980
Equivalently, numbers in the top row are 10 times smaller than their pair in the bottom row.
00:00:49.900 --> 00:00:52.510
We can fill in the two numbers in the circles.
00:00:53.090 --> 00:00:58.390
To work out a number in the bottom row from its pair in the top, we need to multiply by 10.
00:01:00.100 --> 00:01:05.640
To work out a number in the top row from its pair in the bottom, we need to divide by 10.
00:01:07.600 --> 00:01:10.670
Next, let’s calculate the missing number in the bottom row.
00:01:12.400 --> 00:01:17.100
In order to calculate this, we need to multiply its pair in the top row by 10.
00:01:18.790 --> 00:01:24.080
This number is equal to 11 multiplied by 10, which is 110.
00:01:26.130 --> 00:01:30.880
Finally, we calculate the last missing number, the missing number in the top row.
00:01:32.490 --> 00:01:36.900
To calculate it, we divide its corresponding number in the bottom row by 10.
00:01:38.810 --> 00:01:43.460
It’s equal to 190 divided by 10, which is 19.
00:01:45.760 --> 00:01:53.610
The four missing numbers in the figure from left to right are 10, 110, 19, 10.