Multiplying two-digit numbers can seem a bit tricky at first, but with the right method, it becomes quite manageable. Let’s break it down step by step.
Consider the two-digit numbers 23 and 45. To multiply these, follow these steps:
- Break down the numbers: Split each number into its tens and units. For 23, it’s 20 and 3. For 45, it’s 40 and 5.
- Apply the distributive property: Use the formula (a + b)(c + d) = ac + ad + bc + bd. Here, a = 20, b = 3, c = 40, and d = 5.
- Calculate each part:
- 20 * 40 = 800
- 20 * 5 = 100
- 3 * 40 = 120
- 3 * 5 = 15
- Add them all together: Now, sum all the products: 800 + 100 + 120 + 15 = 1035.
So, 23 multiplied by 45 equals 1035.
With practice, this method will help you multiply any two-digit numbers efficiently!