Question

Look at the way that Samuel answered the question above.

Answer 1

A) Multiplication is done wrong. The + sign with 16 underlined in the term -16m+16=-16 is wrong. it should be -16.

B) After solving $-2(8m+8)=-16$ correctly we get m=0

Step-by-step explanation:

A) Explain his mistake in complete sentences.

Samuel has done the mistake while performing the step:

$-2(8m+8)=-16$

When we multiply -2 with the terms inside the bracket, we apply the rule that if we have one positive sign (+) and one negative sign (-) while multiplying the result would have negative sign(-) i.e,

$-16m-16=-16$

While Samuel has calculated as $-16m+16=-16$

The + sign with 16 underlined in the term -16m+16=-16 is wrong. it should be -16.

B) Explain how to solve the equation correctly

Now, solving the given expression:

$-2(8m+8)=-16\\Multiplying\,\,-2\,\,with\,\,terms\,\,inside\,\,the\,\,bracket.\\-16m-16=-16\\Adding\,\,+16\,\, on\,\, both\,\, sides\\-16m-16+16=-16+16\\-16m=0\\Divide\,\,both\,\,sides\,\,by\,\,-16\\m=0$

So, the value of m is m=0

Keywords: Solving Algebraic expressions

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