Question

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

Answer 1

1305

Step-by-step explanation:
`\begin{gathered} \text{Given:} \\ 435\text{ }*3 \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{ }*3\text{ = }(400\text{ + 30 + 5) }*\text{ 3}`

Next, we will expand the parentheiss using distributive property:

`\begin{gathered} (400\text{ + 30 + 5)}*\text{ 3 = 3(400) + 3(30) + 5(3)} \\ =\text{ 400}*3\text{ + 30}*3\text{ + }5*3 \end{gathered}`

Next, we will simplify:

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

Hence, 435 ×3 = 1305