Question

How do you translate “5 more than 3 times a number w” into a mathematical expression.

Answer 1

Hint: Here the given statement is 5 more than 3 times w. We know that times means multiplication hence 3 times w means 3w. Now 5 more means addition. Hence 5 more than 3 times w means addition of 5 and 2w. Hence using this we can easily form Mathematical expression of a given statement.

Complete step-by-step solution:
First let us write mathematical statements.
If we have a word like more than it means addition.
For example if the statement says 3 more than x, then mathematically we write it as $x + 3$.
Similarly if we have a word like less than it means subtraction.
For example if the statement says 4 less than x, then mathematically we write it as $x – 4.$
Now if we have 2 times, 3 times or twice thrice then this means multiplication.
For example the statement says x is twice y, then mathematically we write it as $x = 2y.$
Similarly if we have x is 3 times y we write it as $x = 3y.$
Now let us consider the given statement.
5 more than 3 times a number w.
Now here 3 times w means multiplication. Hence mathematically we write it as 3w.
Hence 5 more than 3 times w means addition. Hence mathematically we write it as 5 + 3w.
Hence the mathematical expression of “5 more than 3 times w” is written as 5 + 3w.

Note: Note that here we first break the statement and then convert it into mathematical expression. Hence we first write 3 times w and then 5 more than 3 times w. This will help while writing bigger expressions. Also we can directly replace the word more by addition and time by multiplication. Hence we can write 5 more than 3 times w as 5 + 3w.