Compare the numbers in each exercise using an inequality symbol.
5 2/3, square root 29
√29 = 5.3852
5 2/3 = 5.67
5.67 > 5.3852
9.6,\96
To compare the numbers 5 2/3 and √29 using an inequality symbol, we first need to convert them into the same format.
Let's convert 5 2/3 into an improper fraction:
5 2/3 = (5 * 3 + 2)/3 = 17/3
Now, we can compare 17/3 and √29 using an inequality symbol:
17/3 < √29
To compare the numbers 5 2/3 and the square root of 29 using an inequality symbol, we need to find their approximate decimal values and then compare them.
First, let's convert 5 2/3 to a decimal. To do this, we can divide the numerator (17) by the denominator (3):
5 2/3 = 5 + 2/3 = (5 * 3 + 2) / 3 = 17 / 3 ≈ 5.67
Next, let's find the square root of 29. The square root of a number is the value that, when multiplied by itself, gives the original number. In this case, the square root of 29 is not a perfect square, so we'll need to approximate it.
Using a calculator or any math software, we find that the square root of 29 is approximately 5.39.
Now, to compare these two numbers using an inequality symbol, we can write:
5.67 > 5.39
Therefore, 5 2/3 is greater than the square root of 29.