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Understand the scaling effect of multiplication (multiplying by a number < 1 makes the product smaller).
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Challenge the intuition that multiplication always increases value.
When we multiply two counting numbers greater than 1, like 3 and 5, the product is greater than both numbers being multiplied: .
Because we learn this early on, it is easy to assume that multiplication always makes things bigger. But does this rule hold when fractions get involved?
Select whether a product is > or < based on scaling rules.
A recipe scale requires you to multiply the ingredients by . If the original recipe calls for cup of sugar, how will the final calculated amount compare to the factors?