Breaking Down 48x76: An Easy Explainer

Welcome to our lesson on breaking down numbers by place value!We'll look at how to make multiplication easier by breaking down larger numbers into smaller parts.Let's start with forty-eight. We can split it into forty plus eight.Similarly, seventy-six can be broken down into seventy plus six.Let's visualize these numbers as groups of blocks to better understand their size.And here's how seventy plus six looks in blocks.Breaking numbers down this way makes multiplication much more manageable.Using the distributive property, we can break down our multiplication into smaller, more manageable parts.We expand forty-eight times seventy-six into four separate multiplications.Let's solve each part one at a time.First, we multiply forty times seventy.Next, we calculate forty times six.Then, we multiply eight times seventy.Finally, we multiply eight times six.Let's break down each calculation step by step.Forty times seventy is the same as four times seven times one hundred, which equals two thousand eight hundred.Forty times six is four times six times ten, which equals two hundred forty.Eight times seventy is eight times seven times ten, which equals five hundred sixty.And eight times six equals forty-eight.Now we have all our partial products ready to be added in the next step.Now we'll add all our partial products together, starting from the bottom.Let's start with forty-eight plus five hundred and sixty.We carry the one to the tens column.Next, we add two hundred and forty to our subtotal of six hundred and eight.Again, we need to carry the one.Finally, we add two thousand eight hundred to eight hundred and forty-eight.We carry the two to the thousands column.And there we have it! Forty-eight times seventy-six equals three thousand, six hundred and forty-eight.Remember, this method of breaking down the multiplication into partial products works for any two-digit multiplication problem.