which set of numbers is always irrational
non-terminating non-repeating decimals
repeating decimals
Positive decimals
Terminating decimals
non-terminating non-repeating decimals
The diagonal of a square equals √2 times the side length. Using 1.4 for the square root of 2. • Item 5
what is the approximate length in feet from one corner to an opposite corner of a square park
Item 6
that is 70 feet on a side?
To find the length from one corner to an opposite corner of a square park, you can multiply the side length by the square root of 2. Since the side length is given as 70 feet, you can calculate it as follows:
Approximate length = side length × √2
Approximate length = 70 feet × 1.4 (given approximation for √2)
Approximate length = 98 feet
So, the approximate length from one corner to an opposite corner of the square park is 98 feet.
using a number line, what whole number and a rational number to the nearest half is √30 between
√30 is it between __ and __
To determine which whole number and rational number (√30) is between on a number line, let's approximate √30 to the nearest half.
First, we need to find the perfect squares on either side of 30:
5^2 = 25
6^2 = 36
So, √30 is between √25 (which is equal to 5) and √36 (which is equal to 6) on the number line.
To find a rational number that is between √25 and √36 to the nearest half, we can take the average of the two whole numbers:
(5 + 6) / 2 = 5.5
Therefore, √30 is between 5 and 6 on the number line, and it is also between 5.5 and 6 as a rational number to the nearest half.
using a number line, what whole number in national number to the nearest half is √68 between
Between 7.5 and 8
Between 9 and 9.5
Between 8 and 8.5
Between 8.5 and 9
To determine which whole number and rational number (√68) √68 is between on a number line, let's approximate √68 to the nearest half.
First, we need to find the perfect squares on either side of 68:
8^2 = 64
9^2 = 81
So, √68 is between √64 (which is equal to 8) and √81 (which is equal to 9) on the number line.
To find a rational number that is between √64 and √81 to the nearest half, we can take the average of the two whole numbers:
(8 + 9) / 2 = 8.5
Therefore, √68 is between 8 and 9 on the number line, and it is also between 8.5 and 9 as a rational number to the nearest half.
using rational approximation, what is an inequality statement comparing √91 and √98 enter <, >, or =
The inequality is: √91__√98
To compare √91 and √98 using rational approximation, we can round these square roots to the nearest whole number since they are both already close to whole numbers.
√91 is approximately equal to 9 (since the perfect square closest to 91 is 81, and 9 squared is 81).
√98 is approximately equal to 10 (since the perfect square closest to 98 is 100, and 10 squared is 100).
So, we have √91 < √98.
write 2468 in expanded form:
(4 x 100) + (6 x 10) (8 x 1)
(8 x 1,000) + (6 × 100) + (4 x 10) + (2 × 1)
(2 x 1,000) + (4 x 100) + (6 × 10) + (0 × 1)
(2x 1,000) + (4 × 100) + (6 × 10) + (8 × 1)