$2.7 \times(-3) \times(-1.2)$
A) -9.72
B) 10.8
C) -10.8
D) 9.72
Answer (2)
Multiply 2.7 by − 3 to get − 8.1 .
Multiply − 8.1 by − 1.2 to get 9.72 .
The final result is 9.72 .
Therefore, the correct answer is 9.72 .
Explanation
Understanding the Problem We are asked to evaluate the expression 2.7 × ( − 3 ) × ( − 1.2 ) and choose the correct answer from the given options.
Multiplying the First Two Numbers First, we multiply 2.7 by − 3 .
2.7 × − 3 = − 8.1
Multiplying by the Third Number Next, we multiply the result, − 8.1 , by − 1.2 .
− 8.1 × − 1.2 = 9.72
Final Result Therefore, the final result is 9.72 .
We choose the answer that matches the final result.
Examples
Understanding how to multiply signed numbers is crucial in many real-world scenarios. For example, if you're tracking changes in temperature, a decrease of 2 degrees Celsius per hour for 3 hours would be represented as 3 × − 2 = − 6 degrees. Similarly, if you're managing finances and have a debt that decreases each month, multiplying the decrease by the number of months helps you calculate the total debt reduction. This concept is also vital in physics for calculating changes in velocity or position.
The expression 2.7 × ( − 3 ) × ( − 1.2 ) results in 9.72 after performing the multiplications step-by-step. Thus, the correct answer is 9.72 .
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