Question

Calvin evaluated -2/3 x 5 1/6 using the steps below.

Step 1: -2/3 x (5 + 1/6)
Step 2: (-2/3 + 5)x(-2/3 + 1/3)
Step 3: 4 1/3 x -1/3
Step 4: -2 1/6

Which describes Calvin’s error?
In step 1, he incorrectly broke up 5 1/6.
In step 2, he distributed the -2/3 instead of the 5.
In step 2, he confused the multiplication and addition signs.
In step 3, he computed the addition and multiplication incorrectly.

Answer 1

Answer:

In step 2, he confused the multiplication and addition signs.

Or C

Answer 2

Answer:

Option C.

Step-by-step explanation:

The given expression is

$-\dfrac{2}{3}\times 5\dfrac{1}{6}$

Step 1: Rewrite the given expression.

$-\dfrac{2}{3}\times (5+\dfrac{1}{6})$

Step 2: Using distributive property we get

$-\dfrac{2}{3}\times (5)-\dfrac{2}{3}\times (\dfrac{1}{6})$      $[\because a(b+c)=ab+ac]$

Step 3: On multiplication, we get

$-\dfrac{10}{3}-\dfrac{1}{9}$

Step 4: On addition, we get

$\dfrac{-30-1}{9}$

$\dfrac{-31}{9}$

$-3\dfrac{4}{9}$

In step 2, Calvin confused the multiplication and addition signs

Therefore, the correct option is C.