anonymous
  • anonymous
Sharmi compared four hundred thirty-seven point two nine one and eighty-six point five eight two six and provided the explanation below. Explain what she did wrong and provide the correct solution and explanation. In four hundred thirty-seven point two nine one., the first digit is a 4. In eighty-six point five eight two six., the first digit is an 8. Since 4 is less than 8, the correct answer is less than or equal to.
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
sorry king i sis not realize that i closed the question what was the question u asked
KingGeorge
  • KingGeorge
As long as it was an accident, no worries. Now can you write out the numbers here?
anonymous
  • anonymous
well beacuse i think u can like round it i am not sure

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anonymous
  • anonymous
equil to
KingGeorge
  • KingGeorge
If you write out the numbers, it'll definitely help. Just type them out or write them on a piece of paper.
anonymous
  • anonymous
okay i did what did what do i do now
KingGeorge
  • KingGeorge
Now, when you look at the numbers, which one is bigger and which is smaller?
anonymous
  • anonymous
the bigger one is 437.291 and the smaller one is 86.5826
anonymous
  • anonymous
true
KingGeorge
  • KingGeorge
Right! So why did you say that? What makes 437.291 greater than 86.5826?
anonymous
  • anonymous
well what do u mean
KingGeorge
  • KingGeorge
When you compared 437.291and 86.5826, how did you tell that 437.291>86.5826?
anonymous
  • anonymous
becaute that 437.291 is a larger quanity than 86.5826 so as you see above is exacly corect
anonymous
  • anonymous
well beacsause if u would estimate it it would be 437 and if u estimate the other one is 81
KingGeorge
  • KingGeorge
Ok, then what makes 437 greater than 81?
anonymous
  • anonymous
cause there is a 3 digit number and only 2 digit number so that is what make it bigger
KingGeorge
  • KingGeorge
Right! So now that you have that, why is it wrong to say \(87>437\) because \(8>7\)?
anonymous
  • anonymous
well that is true but i really dont know
KingGeorge
  • KingGeorge
You're so close! you say 437>87 because there's three digits. Sharmi said \(437<87\) because it starts with an 8 and \(8>4\). Sharmi's reasoning is wrong, because he isn't considering the length of the number. How many digits are before the decimal point. This is what you must consider before anything else when deciding some number is greater/less than another number.
anonymous
  • anonymous
oh
anonymous
  • anonymous
so ow what happen
KingGeorge
  • KingGeorge
what do you mean?
anonymous
  • anonymous
so we done
KingGeorge
  • KingGeorge
Yes. Did my explanation make sense at the end?
anonymous
  • anonymous
yes thank u so much
KingGeorge
  • KingGeorge
You're welcome.

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