Find the value of [tex]$7426 \times 60+7426 \times 30$[/tex].
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 final value of the expression is 668340 .
Explanation
Understanding the Problem We are given the expression 7426 × 60 + 7426 × 30 . Our goal is to find the value of this expression.
Factoring the Expression We can factor out 7426 from both terms: 7426 × 60 + 7426 × 30 = 7426 × ( 60 + 30 ) . This simplifies the calculation.
Adding the Numbers Now, we calculate the sum inside the parentheses: 60 + 30 = 90 .
Multiplying the Numbers Next, 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 cost of items purchased in two different months. If you bought 60 items at a price of $7426 each in the first month and 30 items at the same price in the second month, this calculation helps you find the total expenditure. Factoring out the common price simplifies the calculation, making it easier to compute the total cost. This method is useful in budgeting and financial planning to quickly assess total expenses.
To find the value of 7426 × 60 + 7426 × 30 , we can factor out 7426 to get 7426 × ( 60 + 30 ) , which simplifies to 7426 × 90 = 668340 . Therefore, the final answer is 668340 . This method makes calculations easier and quicker.
;
