Choose all the number sentences that have a sum greater than 5,500:

A) 2,975 + 2,550
B) 2,195 + 2,925
C) 956 + 4,600
D) 4,567 + 875
E) 1,373 + 3,815

B) 2,195 + 2,925

C) 956 + 4,600
D) 4,567 + 875
E) 1,373 + 3,815

The sums of these number sentences are:
B) 5,120
C) 5,556
D) 5,442
E) 5,188

All of these sums are greater than 5,500. Therefore, the correct answer is B, C, D, and E.

Choose all the number sentences that have a difference less than 5,465.

A) 18,054 – 13,540
B) 12,560 – 6,545
C) 345,678 – 342,751
D) 19,243 – 8,917
E) 21,389 – 15,245

A) 18,054 – 13,540

B) 12,560 – 6,545
D) 19,243 – 8,917

The differences of these number sentences are:
A) 4,514
B) 6,015
D) 10,326

All of these differences are less than 5,465. Therefore, the correct answer is A, B, and D.

To determine which number sentences have a sum greater than 5,500, you need to add the numbers together and compare the result to 5,500.

Let's calculate each sum:

A) 2,975 + 2,550 = 5,525
B) 2,195 + 2,925 = 5,120
C) 956 + 4,600 = 5,556
D) 4,567 + 875 = 5,442
E) 1,373 + 3,815 = 5,188

Now we can determine which number sentences have a sum greater than 5,500:

The number sentences A) 2,975 + 2,550 and C) 956 + 4,600 both have sums greater than 5,500.

Therefore, the correct choices are A) and C).