we are asked to write an expression that uses partial products to multiply 8 and 64. In this case, we can break 8 into 2 x4 and 64 into 8x8. In this case, multiplying these factors equal to 512. Any factors will do actually since it will yield the same product.
To multiply 8 by 64 using partial products, first break 64 down into 60 and 4. Then, use the distributive property to find two products: 8 × 60 and 8 × 4, which sum up to 512. The final calculation confirms that 8 × 64 = 512.
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