Write an expression that shows how you can multiply \(9 \times 475\) using expanded form and the distributive property.
Answer (2)
475 = 400 + 70 + 5
therefore
9 × 475 = 9 × (400 +70 + 5) = 9 × 400 + 9 × 70 + 9 × 5 =3600 + 630 + 45 = 4275
I think... It's better to use Distributive Property: (a - b) × c = a × c - b × c
9 = 10 - 1
therefore: (10 - 1) ×475 = 10 × 475 - 1 × 475 = 4750 - 475 = 4275
To multiply 9 × 475 , we can express 475 as 400 + 70 + 5 and then apply the distributive property. This leads to the calculation 9 × 400 + 9 × 70 + 9 × 5 , which results in 4275. Therefore, 9 × 475 = 4275 .
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