Step by step
The question
Question: find the value of 5 − 3k when k = −2.
5 − 3k
k = −2
1 Put the numbers in
We put −2 in place of k.
3k means 3 times k.
So we write a times sign.
A negative number goes in brackets, so its minus stays with it.
= 5 − 3 × (−2)
3k = 3 × k
2 Times and divide
Times comes before minus.
Order: ( ) → x² √ → × ÷ → + −
+ × − = −
Plus times minus is minus.
3 times 2 is 6.
So we get −6.
= 5 − (−6)
3 Plus and minus
Taking away a negative is the same as adding.
− (−) = +
So 5 − (−6) becomes 5 + 6.
= 5 + 6
5 plus 6 is 11.
= 11
Careful!
Many people go from left to right and get −4.
But times and divide come before plus and minus.
Careful: not 5 − 3 × (−2) = −4 ✗
So 5 − 3k is 11 when k = −2.
Let's look back.
First: put the numbers in.
Then: times and divide.
Last: plus and minus.
Answer
= 11