Question

Drag each expression to show whether it is equivalent to −2.6−(−5.9) -2.6 x - -5.9 x , −2.6+(−5.9) -2.6 x + -5.9 x , or neither.

Answer 1

Answer:

$-2.6x-(-5.9x)$ is equivalent to $-2.6x+5.9x$ and $5.9x+(-2.6x)$

$-2.6x+(-5.9x)$ is equivalent to $-2.6x-5.9x$ and $-5.9x+(-2.6x)$.

The expressions which are equivalent to neither:

$-5.9x+2.6x$ and $5.9x-(-2.6x)$

Step-by-step explanation:

Given the expressions:

1) $-2.6x-(-5.9x)$

2) $-2.6x+(-5.9x)$

To find:

The expressions equivalent to the given expressions.

or the expressions which are not equivalent to any of the given expressions.

Solution:

First of all, let us solve the brackets from the given expressions.

$-2.6x-(-5.9x)$ can be written as $-2.6x+5.9x$ (because when we multiply a negative sign with negative, it becomes positive.)

Similarly $-2.6x+(-5.9x)$ can be written as $-2.6x-5.9x$ (because when we multiply a positive sign with negative, it becomes negative.)

Therefore, the answer is:

$-2.6x-(-5.9x)$ is equivalent to $-2.6x+5.9x$ and $5.9x+(-2.6x)$

$-2.6x+(-5.9x)$ is equivalent to $-2.6x-5.9x$ and $-5.9x+(-2.6x)$.

The expressions which are equivalent to neither:

$-5.9x+2.6x$ and $5.9x-(-2.6x)$