What does percent of really mean?
Ivan found 15% of 80 by computing 1.5 * 80 and wrote 120. He moved the decimal the wrong way when converting 15%.
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2 lessons for “Percent of a number”
Which number is the new price?
Zara found that 20% of $50 is $10 and handed me $10 as the new price. The $10 was the increase, not the result.
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What do two negatives in a row do?
Priya multiplied -3 by -4 and wrote -12. She remembered that negatives matter, but she got the rule backwards.
Try this lessonWhat does minus a negative really mean?
Diego saw 5 - (-3) and wrote 2, as if the problem were 5 - 3. But the two minus signs are doing different jobs.
Try this lessonWhy can't I just add 7 and 5?
Maya added -7 and 5 and got 12. She counted the sizes of both numbers but forgot that they move in opposite directions.
Try this lessonIs it 60 over 45 or 45 over 60?
If 60 g was expected and 45 g appeared, is that 75% or 133%? The order of the fraction is the whole lesson.
Try this lessonWhich pair of numbers factors x^2 + 7x + 12?
A trinomial like x^2 + 7x + 12 hides a pair of numbers. Find the pair, and the factored form falls into place.
Try this lessonWhy is 3/5 the same as 60%?
Three names for the same amount, and one short chain that gets you between them. The confusion is rarely the arithmetic — it is which direction you are going.
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