Sam wanted to find the difference 10 -(-6).

He said he would add the opposite. This is what he did:

10 - (-6) = 10 + (-6) = 4

Was Sam's thinking correct? Explain. In your explanation, describe how to add the

opposite and use a number line to find the value of 10 -(-6).

Respuesta :

Given:

The expression is [tex]10 - (-6)[/tex].

Sam's calculation is [tex]10 - (-6) = 10 + (-6) = 4[/tex]

To find:

Whether Sam's thinking correct or not.

Solution:

We have,

[tex]10 - (-6) = 10+6[/tex]       [tex][\because (-)(-)=(+)][/tex]

[tex]10 - (-6) = 16[/tex]

[tex]10 - (-6) \neq 4[/tex]

Therefore, Sam's thinking was incorrect.

On number first we have to move 10 units from 0 in positive direction after that negative sign means move in left direction.

But we have 2 negative signs so we need to move 6 units more on positive or right direct as shown below.

Ver imagen erinna