## Vivi305 3 years ago 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.

1. Vivi305

sorry king i sis not realize that i closed the question what was the question u asked

2. KingGeorge

As long as it was an accident, no worries. Now can you write out the numbers here?

3. Vivi305

well beacuse i think u can like round it i am not sure

4. WLB250219

equil to

5. KingGeorge

If you write out the numbers, it'll definitely help. Just type them out or write them on a piece of paper.

6. Vivi305

okay i did what did what do i do now

7. KingGeorge

Now, when you look at the numbers, which one is bigger and which is smaller?

8. Vivi305

the bigger one is 437.291 and the smaller one is 86.5826

9. WLB250219

true

10. KingGeorge

Right! So why did you say that? What makes 437.291 greater than 86.5826?

11. Vivi305

well what do u mean

12. KingGeorge

When you compared 437.291and 86.5826, how did you tell that 437.291>86.5826?

13. WLB250219

becaute that 437.291 is a larger quanity than 86.5826 so as you see above is exacly corect

14. Vivi305

well beacsause if u would estimate it it would be 437 and if u estimate the other one is 81

15. KingGeorge

Ok, then what makes 437 greater than 81?

16. Vivi305

cause there is a 3 digit number and only 2 digit number so that is what make it bigger

17. KingGeorge

Right! So now that you have that, why is it wrong to say \(87>437\) because \(8>7\)?

18. Vivi305

well that is true but i really dont know

19. 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.

20. Vivi305

oh

21. Vivi305

so ow what happen

22. KingGeorge

what do you mean?

23. Vivi305

so we done

24. KingGeorge

Yes. Did my explanation make sense at the end?

25. Vivi305

yes thank u so much

26. KingGeorge

You're welcome.