In the sentence 6 times 9 equals 54, 6 and 9 are factors of the product 54. In the sentence 54 divided by 9 equals 6, 6 is the quotient. In the sentence 54 divided by 6 equals 9, 9 is the quotient. The result of a multiplication sentence is the product of factors; the result of a division sentence is the quotient.
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In the sentence 12 divided by 4 equals 3, 3 is the quotient.
In the sentence 3 times 4 equals 12, 3 is a factor.
Same number, same relationship to the other numbers, different process.
In the sentence 3 times 6 equals 18, 3 and 6 are factors of 18. In the sentence 18 divided by 6 equals 3, 3 is the quotient. In the sentence 18 divided by 3 equals 6, 6 is the quotient. Same numbers, same relationships, different processes, different words.
7/420 = 1/60
Since 48 is a factor of 96, all the factors of 48 will be factors of 96.
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.
Ratios show the information of the side lengths scale factors show the information of how they are related