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Remember the order of operations.
What operations do more than
and the product of
represent?
5n+6.7
We are asked to write an algebraic expression for the given verbal expression. The key phrases are more than
and the product of.
They indicate addition and multiplication, respectively. When we have an expression that contains both addition and multiplication, we should start with multiplication according to the order of operations. Let's first rewrite the product of ... and ...
.
... *...
The two terms that are being multiplied are 5
and an arbitrary number n.
Since 5
comes first in the verbal expression, it should be on the left-hand side of the multiplication.
5n.
Finally, we have the second key phrase, ... more than ...
. This indicates that we should increase one term by the other using addition.
&... + ...
The two quantities that we are adding together are 6.7
and 5n.
We are increasing the term 5n
by the other term, so it should be written first in the addition.
6.7 & more than 5n
& 5n + 6.7
Note that this is only one of the multiple ways to algebraically express the given verbal expression.