QuestionCompare the following pairs of numbers using inequality symbols:
7. and
8. and
Studdy Solution
STEP 1
Assumptions1. We are comparing two real numbers in each exercise.
. We are using the inequality symbols "<" (less than) and ">" (greater than).
3. The numbers are given in decimal and fractional form.
STEP 2
For exercise7, we need to compare and .
First, we need to convert to decimal form to make the comparison easier.
STEP 3
Now, we can compare the two numbers and .
Since is to the right of on the number line, it is greater. Therefore, we have
STEP 4
For exercise8, we need to compare and .
First, we need to convert to fractional form to make the comparison easier.
is a repeating decimal, which can be written as .
STEP 5
Now, we can compare the two numbers and .
Since is to the right of on the number line, it is greater. Therefore, we haveSo, the solutions to the exercises are7.
8.
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