Question

I'm trying to help my sister in 4th grade but I forgot how to do this type of work.

Answer 1

1305

Explanation:$\begin{gathered} \text{Given:} \\ 435\text{ }\times3 \end{gathered}$

To solve, we will write 435 in expanded form:

435 = 400 + 30 + 5

Next, we will multiply the expanded form by 3:

$435\text{ }\times3\text{ = }(400\text{ + 30 + 5) }\times\text{ 3}$

Next, we will expand the parentheiss using distributive property:

$\begin{gathered} (400\text{ + 30 + 5)}\times\text{ 3 = 3(400) + 3(30) + 5(3)} \\ =\text{ 400}\times3\text{ + 30}\times3\text{ + }5\times3 \end{gathered}$

Next, we will simplify:

$\begin{gathered} =\text{ 1200 + 90 + 15} \\ =\text{ 1}305 \end{gathered}$

Hence, 435 ×3 = 1305