Learn About Multiplication Patterns

TenMarks teaches you how to understand patterns of multiplication.

In this lesson, let’s learn how to use multiplication patterns. The problem wants us to look at if a tour through Madrid, the capital of Spain costs $40.00 each person. How much will it cost for 300 tourists? All we have to do is multiply the cost for one tourist times 300, the number of tourists. We can use patterns to do that. A pattern is simply a sequence of numbers that follows a particular rule. For example, we know 4×3=12, 4 ones times 3 ones equals 12 ones. What is 4 times 3 tens? It equals 12 tens or 4×30=120. Three tens is 30, 120 is 12 tens. Let me write this pattern down. 4×3=12, 4×30 or 3 tens equals 12 tens which is 120. What is 4×300? Times 300 is 1200; 1200, 4 times 300s. Here’s another way to do it. 300×4 ones =1200, 300×40 ones or 4 tens is 1200 tens or 12,000. We go what we were looking for. 40×300 is 12,000. We could have also done the same thing by counting zeros. We know 4×3=12. If, instead of 4, I add one zero and instead of 3, I add two zeros, I have one zero plus two zeros is three zeros. You can take a look at the base number, the base sequence. If we’re adding three zeros in all and then we’re multiplying it, that’s three zeros placed in the product. The answer is $12000.00. How much will it cost? It will cost $12000.00