Compare the number in each exercise using an inequality symbol
1. 4/3, square root of 2
2. -7/11, -0.63
3. -22/25, -0.8
(4/3)^2 = 16/9 which is less than 2
-70/110 vs -63/100
have to actually do it :(
-.636 is less than -.630 (to the left of it on number line)
-22/25 versus -80/100
is
-88/100 is less than -80/100
To compare the numbers in each exercise using an inequality symbol, we need to determine which number is greater or smaller. Here's how you can do it:
Exercise 1:
To compare 4/3 and the square root of 2, we need to convert them to decimal form.
- First, calculate 4/3:
4 ÷ 3 = 1.33 (rounded to two decimal places)
- Next, find the approximate value of the square root of 2:
√2 ≈ 1.41 (rounded to two decimal places)
Now, we can compare the decimal values:
1.33 < 1.41.
The inequality symbol representing the comparison is:
4/3 < √2.
Exercise 2:
To compare -7/11 and -0.63, we need to convert them to decimal form:
- For -7/11, perform the division:
-7 ÷ 11 = -0.64 (rounded to two decimal places)
Now, we can compare the decimal values:
-0.64 > -0.63.
The inequality symbol representing the comparison is:
-7/11 > -0.63.
Exercise 3:
To compare -22/25 and -0.8, we need to convert them to decimal form:
- For -22/25, perform the division:
-22 ÷ 25 = -0.88 (rounded to two decimal places)
Now, we can compare the decimal values:
-0.88 > -0.8.
The inequality symbol representing the comparison is:
-22/25 > -0.8.
To summarize the comparisons using inequality symbols:
1. 4/3 < √2.
2. -7/11 > -0.63.
3. -22/25 > -0.8.