Question

142*52+52*58, 29*19+46*19-75*9, 651*34-34*151, 134*19+22*57 распределительным способом

Answer 1

1) 10 400
2) 750
3) 17 000
4) 3 800

Answer 2

To solve these arithmetic expressions using the distributive property (also known as the distributive law or the distributive property of multiplication over addition/subtraction), we'll break down each expression step by step. The distributive property states that a*(b + c) = ab + ac. Let's go through each expression:

1. 142 * 52 + 52 * 58

Using the distributive property: = 52 * (142 + 58) (Distributive property) = 52 * 200 (Add inside the parentheses) = 10,400

2. 29 * 19 + 46 * 19 - 75 * 9

Using the distributive property for the first two terms: = 19 * (29 + 46) - 75 * 9 (Distributive property) = 19 * 75 - 75 * 9 (Add inside the parentheses) = 1,425 - 675 (Perform the multiplication) = 750

3. 651 * 34 - 34 * 151

Using the distributive property for the first two terms: = 34 * (651 - 151) (Distributive property) = 34 * 500 (Subtract inside the parentheses) = 17,000

4. 134 * 19 + 22 * 57

Using the distributive property: = 19 * (134 + 22) + 22 * 57 (Distributive property) = 19 * 156 + 22 * 57 (Add inside the parentheses) = 2,964 + 1,254 (Perform the multiplication) = 4,218

So, the results of the expressions using the distributive property are:

1. 142 * 52 + 52 * 58 = 10,400
2. 29 * 19 + 46 * 19 - 75 * 9 = 750
3. 651 * 34 - 34 * 151 = 17,000
4. 134 * 19 + 22 * 57 = 4,218