Find the value of $7426 \times 60+7426 \times 30$.
Answer (2)
Factor out the common term: 7426 × 60 + 7426 × 30 = 7426 × ( 60 + 30 ) .
Add the numbers inside the parentheses: 60 + 30 = 90 .
Multiply the result by the common term: 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 its value using the distributive property.
Factoring We can factor out 7426 from both terms: 7426 × 60 + 7426 × 30 = 7426 × ( 60 + 30 )
Addition Now, we add the numbers inside the parentheses: 60 + 30 = 90
Multiplication Finally, we multiply 7426 by 90: 7426 × 90 = 668340
Final Answer Therefore, the value of the expression 7426 × 60 + 7426 × 30 is 668340.
Examples
Imagine you are calculating the total revenue from selling two different quantities of the same product. If you sold 60 items at a price of $7426 each and 30 items at the same price, this problem shows you how to efficiently calculate the total revenue by adding the quantities first and then multiplying by the price. This approach simplifies the calculation and helps in quick decision-making in business scenarios.
The value of the expression 7426 × 60 + 7426 × 30 is 668340 after factoring out the common term and multiplying. The calculation simplifies to multiplying 7426 by the sum 90 . Thus, the final result is 668340 .
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