1 00:00:00,502 --> 00:00:05,010 Use a number line to compare 11.5 and 11.7. 2 00:00:05,041 --> 00:00:06,879 So let's draw a number line here. 3 00:00:06,879 --> 00:00:09,564 And I am going to focus between 11 and 12 4 00:00:09,564 --> 00:00:11,671 because that's where our two numbers are sitting. 5 00:00:11,671 --> 00:00:14,487 They are 11 and then something else, some number of tenths. 6 00:00:14,487 --> 00:00:19,179 So this right here is 11. This right here would be 12. 7 00:00:19,179 --> 00:00:21,673 And then let me draw the tenths. 8 00:00:21,689 --> 00:00:24,114 So this would be, smack-dab in between, 9 00:00:24,114 --> 00:00:28,696 so that would be eleven and five tenths, or that would be 11.5. 10 00:00:28,696 --> 00:00:30,102 Well, I've already done the first part. 11 00:00:30,102 --> 00:00:35,785 I've figured out where 11.5 is. It's smack-dab in between 11 and 12. 12 00:00:35,785 --> 00:00:37,316 It's eleven and five tenths. 13 00:00:37,316 --> 00:00:39,815 But let me find everything else. Let me mark everything else on this number line. 14 00:00:39,815 --> 00:00:44,698 So that's 1 tenth, 2 tenths, 3 tenths, 4 tenths, 5 tenths, 15 00:00:44,698 --> 00:00:50,085 6 tenths, 7 tenths, 8 tenths, 9 tenths and then 10 tenths right on the 12. 16 00:00:50,085 --> 00:00:53,333 It's not completely drawn to scale. I'm hand-drawing it as good as I can. 17 00:00:53,348 --> 00:00:58,212 So where is 11.7 going to be? Well this is 11.5. 18 00:00:58,212 --> 00:01:00,711 This is 11.6. This is 11.7. 19 00:01:00,711 --> 00:01:02,173 Eleven and seven tenths. 20 00:01:02,173 --> 00:01:06,370 1 tenth, 2 tenths, 3 tenths, 4 tenths, 5 tenths, 6 tenths, 7 tenths. 21 00:01:06,370 --> 00:01:09,207 This is 11.7. 22 00:01:09,207 --> 00:01:12,413 And the way we've drawn our number line, we are increasing as we go 23 00:01:12,413 --> 00:01:16,188 to the right. 11.7 is to the right of 11.5. 24 00:01:16,188 --> 00:01:21,854 It's clearly greater than 11.5. 11.7 > 11.5 25 00:01:21,854 --> 00:01:26,173 And really, seriously, you didn't have to draw a number line to figure that out. 26 00:01:26,173 --> 00:01:31,781 They're both 11 and something else. This is 11 and 5 tenths. This is 11 and 7 tenths. 27 00:01:31,797 --> 00:01:35,199 So, clearly, this one is going to be greater. 28 00:01:35,199 --> 99:59:59,999 Both have 11, but this has 7 tenths as opposed to 5 tenths.