Find the value of [tex]$7426 \times 60+7426 \times 30$[/tex].

Use the distributive property: 7426 × 60 + 7426 × 30 = 7426 × ( 60 + 30 ) .
Simplify the parentheses: 60 + 30 = 90 .
Multiply: 7426 × 90 = 668340 .
The value of the expression is 668340 ​ .

Explanation

Understanding the Problem We are given the expression 7426 × 60 + 7426 × 30 . We need to find the value of this expression. We can use the distributive property to simplify the expression.

Applying the Distributive Property We can use the distributive property to factor out 7426: 7426 × 60 + 7426 × 30 = 7426 × ( 60 + 30 )

Simplifying the Parentheses Simplify the expression inside the parentheses: 60 + 30 = 90

Final Calculation and Answer Multiply 7426 by 90: 7426 × 90 = 668340 . Therefore, the value of the expression is 668340.


Examples
Understanding the distributive property is useful in many real-life situations. For example, if you are buying multiple items at a store, you can use the distributive property to calculate the total cost. If you buy 60 apples at $7426 each and 30 bananas at $7426 each, the total cost is 7426 × 60 + 7426 × 30 . Using the distributive property, you can calculate this as 7426 × ( 60 + 30 ) = 7426 × 90 = $668340 . This makes it easier to calculate the total cost.

Answered by GinnyAnswer | 2025-07-03

Using the distributive property, the expression 7426 × 60 + 7426 × 30 can be simplified to 7426 × 90 , which equals 668340 .
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Answered by Anonymous | 2025-07-04