Estimating quotients is like trying to guess how many slices of cake you'll get from a whole cake, while estimating products is like trying to figure out how much money you'll have after buying a certain number of cakes. In both cases, you're making an educated guess based on the numbers involved, but the end result is either a quotient (division) or a product (multiplication). So, in a nutshell, estimating quotients involves dividing and estimating products involves multiplying.
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Estimating quotients involves predicting the result of a division operation by rounding the dividend and divisor to more manageable numbers, then performing the division. On the other hand, estimating products entails approximating the outcome of a multiplication operation by rounding the factors and multiplying them together. Both methods rely on simplifying calculations by working with rounded numbers, but they differ in the mathematical operation being estimated.
Normally when estimating quotients you should round both numbers in the same direction whereas for products you should round the two numbers in opposite directions.
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7/420 = 1/60
By estimating the product it gives an indication of how big the final answer should be; knowing this, the decimal point can be put in to give an answer of the correct size. For example if the product estimate is 125 and the actual answer (without the decimal point) is 136728, then the decimal point needs to be inserted to make the answer about 125; the place is therefore after the 136, making the answer 136.728 (= 5.4 x 25.32 ≈ 5 x 25 = 125)
between 405 and 406.
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