Question

In the number 514,482,441, how is the relationship between the first pair of 4s the same as the relationship between the second pair of 4s? How is it different?

Answer 1

Notice that the number  514,482,441 can be written as:

500,000,000+10,000,000+4,000,000+400,000+80,000+2,000+400+40+1


starting from the left:

the value of the first 4 is 4,000,000

the value of the second 4 is 400,000

thus the first 4 is 10 times the second 4


the value of the third 4 is 400

the value of the fourth 4 is 40

thus the third 4 is 10 times the fourth 4


The similarity is that both pairs of fours differ by a factor of 10

the difference is that the first pair of fours are larger than the second pair of fours, as described above.