To multiply 13 by 17 using the breakdown method, you can break down the numbers into easier parts.
Here’s how it can be done:
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Break down the numbers:
\( 13 = 10 + 3 \)
\( 17 = 10 + 7 \) -
Use the distributive property:
Now, you can use the distributive property to multiply:
\[ 13 \times 17 = (10 + 3)(10 + 7) \]
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Apply the distributive property:
This can be expanded using FOIL (First, Outside, Inside, Last):
\[ = 10 \times 10 + 10 \times 7 + 3 \times 10 + 3 \times 7 \]
Now, calculating each part:
\[ 10 \times 10 = 100 \] \[ 10 \times 7 = 70 \] \[ 3 \times 10 = 30 \] \[ 3 \times 7 = 21 \]
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Add all the parts together:
\[ 100 + 70 + 30 + 21 = 221 \]
So, \( 13 \times 17 = 221 \).