Math  /  Numbers & Operations

Question72×45\begin{array}{r}72 \\ \times \quad 45 \\ \hline\end{array}

Studdy Solution

STEP 1

What is this asking? We need to multiply 72 by 45. Watch out! Make sure to keep your columns lined up neatly when multiplying multi-digit numbers!

STEP 2

1. Multiply 72 by 5
2. Multiply 72 by 40
3. Add the results

STEP 3

Alright, let's **start** by multiplying 72 by 5!
We can break this down a bit.
First, we multiply 2 by 5, which gives us **10**.
Write down the **0** and carry-over the **1**.

STEP 4

Next, we multiply 7 by 5, which gives us **35**.
Now, we add the carry-over **1** to **35**, which gives us **36**.
So, the result of 72 multiplied by 5 is **360**! 725=36072 \cdot 5 = 360

STEP 5

Now, we'll multiply 72 by 40.
Notice it's 40, not just 4!
Since it's 40, we can think of it as 4 times 10.
Let's start by multiplying 72 by 4.

STEP 6

First, multiply 2 by 4, which gives us **8**.

STEP 7

Next, multiply 7 by 4, which gives us **28**.

STEP 8

So, 72 multiplied by 4 is **288**.
But remember, we were actually multiplying by 40, which is 4 times 10.
So, we need to multiply our result by 10!
We can do this easily by adding a zero at the end.
So, 72 multiplied by 40 is **2880**! 7240=288072 \cdot 40 = 2880

STEP 9

Time to add the results from our previous calculations!
We have **360** (from 72 multiplied by 5) and **2880** (from 72 multiplied by 40).
Let's add them together: 360+2880360 + 2880

STEP 10

Adding the numbers column by column, we get: 360+28803240\begin{array}{cccc} & 3 & 6 & 0 \\ + & 2 & 8 & 8 & 0 \\ & 3 & 2 & 4 & 0 \\ \end{array}

STEP 11

So, our final answer is **3240**!

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord