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Use a number line to compare 11.5 and 11.7.
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So let's draw a number line here.
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And I am going to focus between 11 and 12
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because that's where our two numbers are sitting.
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They are 11 and then something else, some number of tenths.
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So this right here is 11. This right here would be 12.
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And then let me draw the tenths.
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So this would be, smack-dab in between,
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so that would be eleven and five tenths, or that would be 11.5.
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Well, I've already done the first part.
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I've figured out where 11.5 is. It's smack-dab in between 11 and 12.
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It's eleven and five tenths.
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But let me find everything else. Let me mark everything else on this number line.
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So that's 1 tenth, 2 tenths, 3 tenths, 4 tenths, 5 tenths,
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6 tenths, 7 tenths, 8 tenths, 9 tenths and then 10 tenths right on the 12.
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It's not completely drawn to scale. I'm hand-drawing it as good as I can.
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So where is 11.7 going to be? Well this is 11.5.
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This is 11.6. This is 11.7.
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Eleven and seven tenths.
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1 tenth, 2 tenths, 3 tenths, 4 tenths, 5 tenths, 6 tenths, 7 tenths.
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This is 11.7.
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And the way we've drawn our number line, we are increasing as we go
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to the right. 11.7 is to the right of 11.5.
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It's clearly greater than 11.5. 11.7 > 11.5
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And really, seriously, you didn't have to draw a number line to figure that out.
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They're both 11 and something else. This is 11 and 5 tenths. This is 11 and 7 tenths.
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So, clearly, this one is going to be greater.
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Both have 11, but this has 7 tenths as opposed to 5 tenths.