Question Video: Using Partial Products to Multiply Larger Values | Nagwa Question Video: Using Partial Products to Multiply Larger Values | Nagwa

Question Video: Using Partial Products to Multiply Larger Values

Find the missing number from the model, then find the product of 25 × 53.

02:09

Video Transcript

Find the missing number from this model, then find the product 25 times 53.

The model that we’ve been given is using partial products. The first thing they did was multiply the tens by the tens, which was 20 times 50. After that, they multiplied the tens by the ones. That was the tens on the bottom multiplied by the ones on the top, 50 times five.

For the next step, we need to multiply the ones by the tens, which will give us the missing partial product. That means we’ll consider the ones from the bottom, which is a three, and the tens place from the top number, two tens, which we know is 20. The third partial product here is then three times 20. So we can say that 60 belongs in the missing space.

The final partial product is the multiplying the ones by the ones, which is three times five, to get 15. When we’re working with partial products, to find the final answer, we need to add all of the partial products together. In the ones place, there’s just five. Zero plus zero plus zero plus five equals five. In the tens place, zero plus five plus six plus one is 12. So we write down our two and carry our one. And in the hundreds place, we have a one plus zero plus two, so that’s three. In the thousands place, we only have a one. And that means we can say that 25 times 53 is equal to 1325.

This question was two parts. The first part wanted the missing number from the model, which was three times 20, so 60. And the second part was the product of 25 times 53, which is 1325.

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