what is the distributive property of 43 x 82
(40+3)(80+2) = 3200+240+80+6
17"43
Use the distributive property to rewrite the expression: 17"43
The distributive property is a mathematical property that explains how to multiply a number by the sum or difference of two other numbers. In this case, we want to find the product of 43 and 82 using the distributive property.
To apply the distributive property, we split one of the numbers into its parts. Let's split 82 into 80 and 2:
43 x 82 = 43 x (80 + 2)
Now we can distribute the 43 to both parts of 82:
43 x 82 = (43 x 80) + (43 x 2)
To find the value of (43 x 80), we multiply 43 by 80, which gives us 3,440:
(43 x 80) = 3,440
Similarly, to find the value of (43 x 2), we multiply 43 by 2, which gives us 86:
(43 x 2) = 86
Finally, we add the two results together:
43 x 82 = 3,440 + 86 = 3,526
Therefore, the product of 43 and 82 using the distributive property is 3,526.