Rationale
Calculating the product of (7.2)(0.34) yields 2.448.
To find the product, multiply the two numbers together, which results in 2.448. This calculation involves straightforward multiplication and proper alignment of decimal places.
A) The answer 14.12 is incorrect because it significantly overestimates the product of the two numbers. The multiplication of 7.2 and 0.34 does not yield a value in the tens range, indicating a misunderstanding of the multiplication process or a misplacement of the decimal point.
B) The option 0.234 is too small as a result of multiplying these two numbers. Given that both 7.2 and 0.34 are greater than zero, their product must also be a positive number greater than zero, making this choice implausible.
C) The choice of 7.64 is incorrect because it approximates the product too closely to the value of 7.2 alone, without considering the effect of multiplying by 0.34. The actual product must account for the significant reduction that occurs when multiplying by a number less than one.
D) The answer 2.448 accurately reflects the product of (7.2)(0.34). This result is obtained through careful multiplication, ensuring that the decimal places have been correctly aligned and calculated.
Conclusion
In conclusion, the product of (7.2)(0.34) is 2.448, as determined through standard multiplication. The other choices either overestimate or underestimate the product, demonstrating the importance of accurate calculations and an understanding of decimal placements in multiplication.