Math  /  Numbers & Operations

Question(35)(22)(35)(22)

Studdy Solution

STEP 1

What is this asking? We need to multiply 35 by 22. Watch out! It's easy to make mistakes with carrying over numbers, so let's be super careful!

STEP 2

1. Multiply 35 by 2
2. Multiply 35 by 20
3. Add the results

STEP 3

Let's start by multiplying 35 by 2!
We can break this down: 25=102 \cdot 5 = 10, so we write down **0** and carry-over **1**.
Then, 23=62 \cdot 3 = 6, and adding the carry-over, 6+1=76 + 1 = 7.
So, 352=7035 \cdot 2 = \textbf{70}.

STEP 4

Now, we multiply 35 by 20.
Since 20=21020 = 2 \cdot 10, we can multiply 35 by 2 and then by 10.
We already know 352=7035 \cdot 2 = 70 from the previous step.
Now, we just multiply by 10: 7010=70070 \cdot 10 = \textbf{700}.
It's like adding a zero at the end!

STEP 5

Finally, we add the results from the previous two steps: 70+70070 + 700.
This is easy! 70+700=77070 + 700 = \textbf{770}.

STEP 6

So, 3522=77035 \cdot 22 = 770!

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