Question

Find the following using number line: \[ - 6 + 7 + 7 = ?\]

Answer 1

Hint:
Firstly you have to draw a number line and mark the initial point. Once initial markings are done then we will follow up each part of the question. If the part is having negative signs like \[ - 6\] then we will go from right to left otherwise left to right.Hence we get the correct result.

Complete step by step solution:
You can start by converting the equation \[ - 6 + 7 + 7 = ?\] into parts like first you have to draw a number line as represented in the figure given below.

Step 1 - Now we will plot the first part of the equation that is \[ - 6\] on the number line. As initially we are on the zero position so we have to move 6 positions to the left on the number line as 6 is negative here. Now we are at \[ - 6\] position which we will mark as P

Step 2 - Now we will plot the second part of the equation that is \[ + 7\] on the number line. As we are on the \[ - 6\] position on the number line right now due to the move in step 1. So we have to move 7 positions from the left to the right on the number line as 7 is positive here. Now we are at +1 position which we will mark as R
 

Step 3 - Now we will plot the third part of the equation that is \[ + 7\] on the number line. As we are on the \[ + 1\] position on the number line right now due to the move in step 2. So we have to move 7 positions from the left to the right on the number line as 7 is positive here. Now we are at \[ + 8\]

So, at last by combining all the three steps we have the final number line which can be seen in the figure below.

Hence, the Answer is \[ + 8\]

Note:
To solve these types of questions, we can also verify the result by using simplification on the equation. As in the above question we can solve the equation and check if the result is right or not \[ - 6 + 7 + 7 = - 6 + 14 = + 8\] .