Grades 11-12 Video Solutions 2023-2023_11-12

Video Transcription

Problem number one. What is the value of 7,772 squared divided by 5,555 times 2,222? So for this problem, we're going to rewrite both the top and the bottom in terms of the  common factor of 1,111. Once we do that, we get 7 squared times 1,111 squared divided by 5 times  1,111 times 2 times 1,111. And here's a trick to the problem. Now we can combine the two 1,111s  in the denominator and cancel those two factors out, leaving us with only 7 squared over 5 times  2, which simplifies to 49 over 10. That gives us the correct answer of choice number C.

Video Summary

Problem number one. What is the value of 7,772 squared divided by 5,555 times 2,222? So for this problem, we're going to rewrite both the top and the bottom in terms of the common factor of 1,111. Once we do that, we get 7 squared times 1,111 squared divided by 5 times 1,111 times 2 times 1,111. And here's a trick to the problem. Now we can combine the two 1,111s in the denominator and cancel those two factors out, leaving us with only 7 squared over 5 times 2, which simplifies to 49 over 10. That gives us the correct answer of choice number C.

Keywords

mathematics

simplification

common factor

division

problem solving