Answer :
Let's take a look at each pair of expressions and determine the correct comparison using >, <, or = signs.
[tex]3999 - 999[/tex] vs [tex]7000 - 1000[/tex]:
- Calculate [tex]3999 - 999 = 3000[/tex].
- Calculate [tex]7000 - 1000 = 6000[/tex].
- Since [tex]3000 < 6000[/tex], the correct sign is \(<\).
[tex]3286 - 1286[/tex] vs [tex]6000 - 4000[/tex]:
- Calculate [tex]3286 - 1286 = 2000[/tex].
- Calculate [tex]6000 - 4000 = 2000[/tex].
- Both expressions evaluate to 2000, so the correct sign is \(=\).
[tex]697 + 3 - 200[/tex] vs [tex]900 - 500[/tex]:
- Calculate [tex]697 + 3 = 700[/tex], then [tex]700 - 200 = 500[/tex].
- Calculate [tex]900 - 500 = 400[/tex].
- Since [tex]500 > 400[/tex], the correct sign is \(>\).
[tex]10 + 67784[/tex] vs [tex]67784 - 100[/tex]:
- Calculate [tex]10 + 67784 = 67794[/tex].
- Calculate [tex]67784 - 100 = 67684[/tex].
- Since [tex]67794 > 67684[/tex], the correct sign is \(>\).
[tex]900 + 0 + 73400[/tex] vs [tex]73400 + 900[/tex]:
- Both expressions are equal to [tex]900 + 0 + 73400 = 74300[/tex] and [tex]73400 + 900 = 74300[/tex].
- So, the correct sign is \(=\).
[tex]10 + 100 + 1000[/tex] vs [tex]1111 + 19999 + 1[/tex]:
- Calculate [tex]10 + 100 + 1000 = 1110[/tex].
- Calculate [tex]1111 + 19999 + 1 = 21111[/tex].
- Since [tex]1110 < 21111[/tex], the correct sign is \(<\).
In these comparisons, you will determine which number is larger or if they are equal by performing basic arithmetic calculations on each pair.