Arrays and a Expanded Algorithm How I do23x17.
To multiply two numbers, such as 23 and 17, you can use the expanded algorithm or the traditional multiplication method. Let me explain both methods to you:
Expanded Algorithm Method:
Step 1: Write down the two numbers vertically and align them by placing the units digit of the second number under the units digit of the first number.
```
23
x 17
```
Step 2: Starting from the units digit of the second number (7), multiply it by each digit of the first number and write the partial products below the line.
```
23
x 17
_______
161 <- Product of 7 and 3
140 <- Product of 7 and 2
_______
```
Step 3: Now, add up the partial products.
```
23
x 17
_______
161
140
_______
391
```
Therefore, 23 multiplied by 17 is equal to 391.
Traditional Multiplication Method:
Another way to multiply numbers is using the traditional multiplication method. The steps are as follows:
Step 1: Write down the two numbers vertically and align them by placing the units digit of the second number under the units digit of the first number.
```
23
x 17
```
Step 2: Starting from the units digit of the first number (3), multiply it by each digit of the second number. Write the partial products below the line, shifting each subsequent product one place to the left.
```
23
x 17
_______
51 <- Product of 3 and 7
161 <- Product of 3 and 1 (shifted to the left by 1 place)
_______
```
Step 3: Add up the partial products.
```
23
x 17
_______
51
161
_______
391
```
So, regardless of whether you use the expanded algorithm or the traditional multiplication method, you will get the same result: 23 multiplied by 17 equals 391.