Multiply: $2 \times(-21) \times 7$
A) -273
B) -7
C) -294
D) 294
Answer (2)
The product of 2 × ( − 21 ) × 7 is − 294 . Therefore, the correct answer is option C) -294.
;
Multiply the numbers: 2 × ( − 21 ) × 7 .
Calculate the product: 2 × ( − 21 ) = − 42 , then − 42 × 7 = − 294 .
Compare the result with the given options.
The correct answer is: − 294 .
Explanation
Understanding the Problem We are asked to multiply three numbers: 2, -21, and 7. Our goal is to find the product of these numbers and identify the correct option from the given choices.
Calculating the Product To find the product, we multiply the numbers together: 2 × ( − 21 ) × 7 . First, let's multiply 2 and -21: 2 × ( − 21 ) = − 42 . Next, we multiply -42 by 7: − 42 × 7 = − 294 .
Identifying the Correct Option Now, we compare our result, -294, with the given options: A) -273, B) -7, C) -294, D) 294. The correct option is C) -294.
Final Answer The product of 2 × ( − 21 ) × 7 is -294. Therefore, the correct answer is C) -294.
Examples
Understanding multiplication of positive and negative numbers is crucial in various real-life scenarios, such as calculating financial transactions. For instance, if you earn $2 per task, but you have 21 tasks with a penalty of $7 each, the calculation 2 × ( − 21 ) × 7 = − 294 helps determine your net earnings, showing a loss of $294. This concept is also applicable in physics, engineering, and computer science for calculating vector components, signal processing, and error correction.
