QuestionWhich equations equal $4(2+10)$ ? Choose all that apply: (1) $6+46$ , (ii) $6+6c$ , (c) $8 \times 40$ , (11) $8+40$ , (1) $(4 \times 2)+(4 \times 16)$ , (1) $(4 \times 2) \times(4 \times 10)$ .

Studdy Solution

STEP 1

Assumptions1. We are looking for equations that represent the expression $4(+10)$ . We need to apply the distributive property of multiplication over addition to the expression $4(+10)$

STEP 2

Apply the distributive property of multiplication over addition to the expression $4(2+10)$ .
$4(2+10) =4 \times2 +4 \times10$

STEP 3

Calculate the values of $\times2$ and $\times10$ .
$\times2 =8$ $\times10 =40$

STEP 4

Substitute the calculated values back into the expression.
$4(2+10) =8 +40$

STEP 5

Now, compare the expression $8 +40$ with the given options.
Option (1) $+46$ does not match the expression $8 +40$ .
Option (ii) $+ c$ does not match the expression $8 +40$ .
Option (c) $8 \times40$ does not match the expression $8 +40$ .
Option (11) $8+40$ matches the expression $8 +40$ .
Option (1) $(4 \times2)+(4 \times16)$ does not match the expression $8 +40$ as $4 \times16$ is not equal to $4 \times10$ .
Option (1) $(4 \times2) \times(4 \times10)$ does not match the expression $8 +40$ as it implies multiplication between the two terms, not addition.
So, the only option that represents $4(2+10)$ is option (11) $8+40$ .

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