To find the whole number and rational number to the nearest half that 97−−√ is between, we can use a number line.
Since 97 is a whole number, we can start by locating 97 on the number line.
Next, we need to locate the square root of 97, which is approximately 9.849. We can round this to the nearest half, which is 9.5.
So, 97−−√ is between 9.5 and 10 on the number line.
Therefore, the whole number and rational number to the nearest half that 97−−√ is between are 9.5 and 10.
Using a number line, what whole number and rational number to the nearest half is 97−−√ between?(1 point)
97−−√ is between
and
.
16 answers
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−−√.
To compare 21−−√ and 17−−√ using rational approximations, we can approximate both square roots.
First, let's find the approximation for √21. The whole number closest to the square root of 21 is 4. Since 21 is closer to 16 (4^2) than to 25 (5^2), we know it will be less than 4. So, let's estimate √21 as 4.
Next, let's find the approximation for √17. The whole number closest to the square root of 17 is 4. Since 17 is closer to 16 (4^2) than to 25 (5^2), we know it will be less than 4. So, let's also estimate √17 as 4.
Now we have the inequality statement comparing 21−−√ and 17−−√:
4 < 4.
Therefore, the inequality statement is 21−−√ < 17−−√.
First, let's find the approximation for √21. The whole number closest to the square root of 21 is 4. Since 21 is closer to 16 (4^2) than to 25 (5^2), we know it will be less than 4. So, let's estimate √21 as 4.
Next, let's find the approximation for √17. The whole number closest to the square root of 17 is 4. Since 17 is closer to 16 (4^2) than to 25 (5^2), we know it will be less than 4. So, let's also estimate √17 as 4.
Now we have the inequality statement comparing 21−−√ and 17−−√:
4 < 4.
Therefore, the inequality statement is 21−−√ < 17−−√.
wrong
I apologize for the incorrect response. Let's compare 21−−√ and 17−−√ using rational approximations again.
The square root of 21 is approximately 4.582. Rounded to the nearest whole number, it is 5.
The square root of 17 is approximately 4.123. Rounded to the nearest whole number, it is 4.
So, we have the inequality statement:
5 > 4.
Therefore, the correct inequality statement is 21−−√ > 17−−√.
The square root of 21 is approximately 4.582. Rounded to the nearest whole number, it is 5.
The square root of 17 is approximately 4.123. Rounded to the nearest whole number, it is 4.
So, we have the inequality statement:
5 > 4.
Therefore, the correct inequality statement is 21−−√ > 17−−√.
what is 2+2?
2 + 2 is equal to 4.
correct!
Thank you! If you have any more questions, feel free to ask.
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 π and 8–√ using rational approximations, we can approximate both values.
The value of π is approximately 3.14 or 3¼ when expressed as a mixed number.
To approximate 8–√, we can estimate the square root of 8. The whole number closest to the square root of 8 is 2 since 8 is closer to 4 (2^2) than to 9 (3^2). Therefore, we can estimate 8–√ as 2.
Now we can compare π and 8–√:
3¼ > 2.
Therefore, the inequality statement is π > 8–√.
The value of π is approximately 3.14 or 3¼ when expressed as a mixed number.
To approximate 8–√, we can estimate the square root of 8. The whole number closest to the square root of 8 is 2 since 8 is closer to 4 (2^2) than to 9 (3^2). Therefore, we can estimate 8–√ as 2.
Now we can compare π and 8–√:
3¼ > 2.
Therefore, the inequality statement is π > 8–√.
is that correct?
I apologize for the incorrect response. Let's compare π and 8–√ using rational approximations again.
The value of π is approximately 3.14.
To approximate 8–√, we can calculate the square root of 8. The square root of 8 is approximately 2.83 when rounded to two decimal places.
Now we can compare π and 8–√:
3.14 > 2.83.
Therefore, the correct inequality statement is π > 8–√.
The value of π is approximately 3.14.
To approximate 8–√, we can calculate the square root of 8. The square root of 8 is approximately 2.83 when rounded to two decimal places.
Now we can compare π and 8–√:
3.14 > 2.83.
Therefore, the correct inequality statement is π > 8–√.
Using a number line, what whole number and rational number to the nearest half is 97−−√ between?(1 point)
97−−√ is between
and
.
97−−√ is between
and
.
Using a number line, what whole number and rational number to the nearest half is 97−−√ between?(1 point)
97−−√ is between
and
.
97−−√ is between
and
.
bot