Question

Расскажите, пожалуйста, как удобнее решить эти выражения: 1) 234×42+234×58 = 2) 765×89-665×89 = Буду очень благодарна за объяснение.

Answer 1

Решение смотри на фотографии

Answer 2

1)234×(42+58)=234*100=23400
2)89*(765-665)=89*100=89100
Рад помочь!

Answer 3

1) 234 × 42 + 234 × 58 =

To solve this expression, you can use the distributive property of multiplication over addition. The distributive property states that a × (b + c) = a × b + a × c. We can apply this property to the given expression as follows:

234 × 42 + 234 × 58 = (234 × 42) + (234 × 58)

Now, let's calculate each multiplication separately:

234 × 42 = 9,828 234 × 58 = 13,572

Substituting these values back into the expression:

(234 × 42) + (234 × 58) = 9,828 + 13,572

Now, we can add the two products:

9,828 + 13,572 = 23,400

Therefore, the solution to the first expression is 23,400.

2) 765 × 89 - 665 × 89 =

Similar to the previous expression, we will use the distributive property to solve this expression:

765 × 89 - 665 × 89 = (765 - 665) × 89

Now, let's calculate the subtraction first:

765 - 665 = 100

Substituting this value back into the expression:

(765 - 665) × 89 = 100 × 89

Now, let's calculate the multiplication:

100 × 89 = 8,900

Therefore, the solution to the second expression is 8,900.

I hope this explanation helps! Let me know if you have any further questions.