Why is 0.4 × 0.3 smaller than both?
Multiplying is supposed to make things bigger, and here it made something smaller. That is not a trick, it is what happens when both numbers are less than one.
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1 lesson for “Decimal operations”
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Why 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.
Try this lessonWhere does the decimal point go?
Evan wrote 4500 as 4.5 * 10^4. He counted the digits instead of the decimal jumps.
Try this lessonWhy can't I just go left to right?
Jordan computed 3 + 4 * 5 by moving left to right: 3 + 4 = 7, then 7 * 5 = 35. The convention says multiply first.
Try this lessonWhat is the opposite of adding 7?
Owen solved x + 7 = 12 by computing 12 + 7 = 19. He added again instead of undoing the addition.
Try this lessonWhat 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%.
Try this lessonWhich move comes first?
Isla solved 3x + 4 = 19 by writing 3x = 23, giving x = 23/3. She never removed the +4 before dividing.
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