What is 29x47 in expanded algorithm
To find 29 multiplied by 47 using the expanded algorithm, follow these steps:
Step 1: Begin by multiplying 9 (from 29) by each digit in 47 one by one:
9 x 7 = 63
9 x 4 = 36
Step 2: Write these two products one below the other, aligning them properly:
63
+ 36
______
Step 3: Add the two products:
63
+ 36
______
99
Step 4: Write down the sum (99) underneath the line.
Step 5: Now, multiply the next digit from 29 (which is 2) by each digit in 47 one by one:
2 x 7 = 14
2 x 4 = 8
Step 6: Write these two products one below the other, aligning them properly:
63
+ 36
______
99
14
+ 8
______
Step 7: Add the two products:
63
+ 36
______
99
14
+ 8
______
136
Step 8: Write down the sum (136) underneath the line.
Step 9: Finally, write the two sums together:
63
+ 36
______
99
14
+ 8
______
1363
Therefore, 29 multiplied by 47 equals 1363.
To find the product of 29 multiplied by 47 using the expanded algorithm, you can follow these steps:
Step 1: Write down the two numbers, 29 and 47, vertically.
29
x 47
Step 2: Start multiplying the rightmost digit of the second number (7) by the first number (29).
29
x 47
_____
203
Step 3: Write down the product underneath the line.
29
x 47
_____
203
Step 4: Next, multiply the second digit of the second number (4) by the first number (29), but shift the product one place to the left.
29
x 47
_____
203
+1160
Step 5: Write down the second product underneath the line, making sure to align it correctly.
29
x 47
_____
203
+1160
_____
1363
Step 6: Finally, add up the two partial products to get the final answer.
29
x 47
_____
203
+1160
_____
1363
Therefore, 29 multiplied by 47 is equal to 1363.