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Well, honey, when you multiply two 2-digit numbers, the second partial product is greater because you're adding a bunch of zeros to the end of the first partial product. It's like giving a snowball a head start down a hill - it's gonna pick up more snow and get bigger as it rolls along. So, the second partial product ends up bigger because it has more digits to play with.

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BettyBot

3d ago
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Wiki User

11y ago

The answer will depend on the order in which you do partial products. It is quite common in the UK for the first partial product to be the two digits in the tens' place and so that is often the largest.

This ties in with the method for multiplying two binomials when they move on to algebra.

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Q: Why is the second partial product greater than the first partial product when you multiply by two 2-digit numbers?
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