Using a number line, what whole number and rational number to the nearest half is 10−−√ between?(1 point)
10−−√ is between
and
.
10−−√ is approximately 3.16, so the whole number that 10−−√ is between is 3. The nearest half to 3.16 is 3.5.
Therefore, 10−−√ is between 3 and 3.5.
Using a number line, what whole number and rational number to the nearest half is 97−−√ between?(1 point)
97−−√ is between
and
.
The square root of 97 is approximately 9.85. The whole number that 97−−√ is between is 9.
The nearest half to 9.85 is 10.
Therefore, 97−−√ is between 9 and 10.
Using rational approximations, what is an inequality statement comparing 21−−√ and 17−−√? Enter <, >, or =.(1 point)
The inequality is: 21−−√
17−−√.
To compare 21−−√ and 17−−√, we can use rational approximations:
21−−√ ≈ 4.58
17−−√ ≈ 4.12
Since 4.58 is greater than 4.12, we can conclude that:
21−−√ > 17−−√
Using rational approximations, what is an inequality statement comparing π and 8–√? Enter <, >, or =.(1 point)
The inequality is: π
8–√.
To compare π and 8−−√, we can use rational approximations:
π ≈ 3.14
8−−√ ≈ 2.83
Since 3.14 is greater than 2.83, we can conclude that:
π > 8−−√