How Do I Do An Expanded Algorithm For 23x17 ?
I would do it this way
(20+3)(17)=340+21
To do an expanded algorithm for multiplying 23 and 17, you would follow these steps:
Step 1: Write down the two numbers you want to multiply, 23 and 17.
Step 2: Break down each number into its place value: 23 is 20 + 3, and 17 is 10 + 7.
Step 3: Multiply each digit of the first number (23) with each digit of the second number (17). Start with the ones place first.
- Multiply the ones place of 23 (which is 3) with the ones place of 17 (which is 7). This gives you 3 x 7 = 21.
Write down the 1 and carry over the 2 to the next step.
- Multiply the ones place of 23 (which is 3) with the tens place of 17 (which is 10). This gives you 3 x 10 = 30.
Write down the 0 in the next place value column (tens place).
- Multiply the tens place of 23 (which is 20) with the ones place of 17 (which is 7). This gives you 20 x 7 = 140.
Write down the 0 in the next place value column after the previous result (hundreds place).
- Multiply the tens place of 23 (which is 20) with the tens place of 17 (which is 10).
This gives you 20 x 10 = 200. Write down the 0 in the next place value column (thousands place).
Step 4: Add up all the numbers you wrote down in the last step.
- 1 (from the first multiplication) + 0 (from the second multiplication) + 0 (from the third multiplication) + 0 (from the fourth multiplication) = 1.
Step 5: Write down the sum from Step 4 (which is 1) and the numbers from the previous step (which are 0, 0, and 21) as the final answer.
So, the expanded algorithm of 23 x 17 is 391.