Approximate Values of Irrational Numbers Practice
Math 8 Q1 (Pre-Algebra) / The Number System
Using rational approximations, what is an inequality statement comparing 21−−√ and 17−−√? Enter <, >, or =.(1 point)
The inequality is: 21−−√___17−−√.
The inequality is: 21−−√ > 17−−√.
Approximate Values of Irrational Numbers Practice
Math 8 Q1 (Pre-Algebra) / The Number System
Using rational approximations, what is an inequality statement comparing π and 8√? Enter <, >, or =.(1 point)
The inequality is: π
8√.
The inequality is: π > 8√.
To compare the rational approximations of √21 and √17, we can calculate their decimal approximations:
√21 ≈ 4.582
√17 ≈ 4.123
Comparing these decimal approximations, we can see that 4.582 is greater than 4.123.
Therefore, the inequality statement is: √21 > √17
Thus, the inequality is: 21−−√ > 17−−√.