Solve: (-4)+2+(-3)□5 - Finding the Missing Operator

Question

Fill in the missing sign (?):

$(-4)+2+(-3)\text{?}5$

00:00 Choose the appropriate sign

00:04 Let's start from point (-4) on the negative side of the axis

00:07 The number is oriented, positive

00:12 The positive direction on the axis is right, so we'll take 2 to the right

00:20 The number is oriented, negative

00:24 The negative direction on the axis is left, so we'll take 3 to the left

00:39 This is the solution for the left side

00:44 The further right the number is on the axis, the larger it is

00:46 And this is the solution to the question

First let's solve the equation:

$(-4)+2+(-3)=$

We'll locate -4 on the number line and move two steps to the right (since 2 is greater than zero):

This takes us to the number -2.

Now let's move three steps to the left (since minus 3 is less than zero):

This takes us to -5.

The solution to the equation is:

$(-4)+2+(-3)=-5$

Therefore, since $5$ is greater than $-5$ , the missing sign must be: $<$ .

$<$