Question

How do you evaluate `1.7-(-0.8)+4.013`?

Answer 1

`1.7−(−0.8)+4.013` equals `6.513`

Explanation:

Evaluate
`1.7−(−0.8)+4.013`

1) Clear the parentheses by distributing the minus sign
`1.7+0.8+4.013`

2) Now this is like any other addition of decimals problem.
Add the numbers by lining them up according to the decimal points

`color(white)(....)` `1.7`
`color(white)(....)` `0.8`
`color(white)(.)` + `4.013`
------------

3) Sometimes it is easier to add numbers like this if you fill in the blank spaces with zeros

`color(white)(....)` `1.700`
`color(white)(....)` `0.800`
`color(white)(.)`+  `4.013`
`color(white)(....)` ―――
`color(white)(....)` `6.513` `larr` answer

`color(white)(..............)` ――――――

Check

Check by estimating

This problem is almost the same as
`2 - (-1) + 4`

`2 + 1 + 4 =7`

The actual answer is close to this estimated sum of `7`, so it's probably correct.

`Check`