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product = (factor 1) ⋅ (factor 2)
is a multiplication statement . Depending on the numbers that are used, it can be either true or false.
Omitting exactly one of the three numbers in the statement will produce exactly one of the following three problems. For convenience, we'll represent the omitted (or missing) number with the letter M ( M for Missing).
We are interested in developing and working with methods to determine the missing number that makes the statement true. Fundamental to these methods is the ability to translate two words to mathematical symbols. The word
of translates to
times
is translates to
equals
The equation is a missing product statement. We can find the value of M that makes this statement true by multiplying the known factors.
Missing product statements can be used to determine the answer to a question such as, "What number is fraction 1 of fraction 2?
Find of . We are being asked the question, "What number is of ?" We must translate from words to mathematical symbols.
Thus, of is .
Thus, 18 is of 24.
The equation is a missing factor statement. We can find the value of that makes this statement true by dividing (since we know that ).
Missing factor statements can be used to answer such questions as
Now, using
missing factor = (product) ÷ (known factor)
We get
Thus, of 6 is .
For convenience, let's convert the mixed numbers to improper fractions.
Now, using
missing factor = (product)÷(known factor)
we get
Thus, of is .
Find of .
Find of .
of is what number?
of 2 is what number?
of is what number?
of is what number?
of is what number?
Find of of .
of what number is ?
of what number is ?
of what number is ?
of what number is ?
of what number is 0?
of what number is 1?
of what number is ?
What part of is ?
What part of is ?
What part of 8 is ?
What part of 42 is 26?
of is what number?
of what number is ?
What part of is ?
( [link] ) Use the numbers 2 and 7 to illustrate the commutative property of addition.
( [link] ) Expand . Do not find the actual value.
( [link] ) Find the value of .
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