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Let's solve the left side first.
Let's remember the rule:
Let's write the exercise in the appropriate form:
On the number line, we'll locate negative 2 and move two steps to the right (since 2 is greater than zero):
We can see that we reached the number 0, and now we'll move three more steps to the right (since 3 is greater than zero):
We can see that we reached the number 3.
Now let's solve the right side:
Again, let's remember the rule:
Let's write the exercise in the appropriate form and solve it:
Now we can see that the right side is greater than the left side, therefore:
What will be the sign of the result of the next exercise?
\( (-2)\cdot(-4)= \)
Think of it as removing a debt! If you owe -2. So .
Use the phrase "two negatives make a positive". When you see , the two negative signs cancel out to give .
Yes! Always simplify the left side completely, then the right side completely. Only then compare the final results to determine <, =, or >.
Write each step clearly! First, identify all double negatives and convert them to positives. Then do the arithmetic step by step, keeping track of positive and negative numbers carefully.
After calculating both sides, ask yourself: "Is the left number really smaller/equal/larger than the right number?" Double-check your arithmetic if you're unsure.
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