Solve: (-3) + (-4) + (-7) ? -15 - Finding the Missing Operation

Question

Fill in the missing symbol (?):

(3)+(4)+(7)?15 (-3)+(-4)+(-7)\text{?}-15

Video Solution

Solution Steps

00:00 Choose the appropriate sign
00:04 Let's start from point (-3) on the negative side of the axis
00:08 The number is directed and negative
00:11 The negative direction on the axis is left, so we'll go 4 to the left
00:18 The number is directed and negative
00:23 The negative direction on the axis is left, so we'll go 7 to the left
00:32 This is the solution for the left side
00:39 Let's find the 2 solutions on the axis
00:43 On the negative side (left) further from point 0 means smaller
00:46 And this is the solution to the question

Step-by-Step Solution

Let's solve the equation:

(3)+(4)+(7)= (-3)+(-4)+(-7)=

We'll first need to locate -3 on the number line and move four steps to the left (since minus 4 is less than zero):

-15-14-13-12-11-10-9-8-7-6-5-4-3

This will bring us to the number -7.

Now let's move seven steps to the left (since minus 7 is less than zero):

-15-14-13-12-11-10-9-8-7-6-5-4-3

This leaves us at the number -13..

The solution to the equation is:

(3)+(4)+(7)=14 (-3)+(-4)+(-7)=-14

Therefore, the missing sign must be:

-14>-15

Answer

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