Grades 11-12 Video Solutions 2013-Grades 11-12 Video Solutions 2013 problem1

Grades 11-12 Video Solutions 2013 problem1

Video Transcription

Video Summary

The largest number among the options is determined by comparing numbers converted or estimated as powers of 2. Starting with 20 times 13 equals 260, which is smaller than 2013, and estimating other numbers as powers of 2 shows that 2013 is less than 2 to the 11th power (2048). When comparing against a higher base, 20 to the power 13 gives a lower bound around 2 to the 88th power, suggesting it is significantly larger than the other options. Thus, option C (20 to the power 13) is identified as the largest number.

Keywords

powers of 2

largest number

comparison

exponentiation

estimation