Final answer:
The expression equivalent to 65 × 0.15 is 9.75, thus the correct option is d.
Step-by-step explanation:
To find the equivalent expression, we first need to understand what each term represents. 65 is the number being multiplied (the multiplicand) and 0.15 is the number being multiplied by (the multiplier). In mathematical terms, this can be written as 65 × 0.15.
To find the answer, we need to multiply the two numbers. In this case, we can do this easily by using the distributive property, where we multiply each digit of 65 by 0.15 separately and then add the products together. This can be written as (60 + 5) × 0.15.
Using this method, we can calculate (60 × 0.15) + (5 × 0.15). Multiplying 60 by 0.15 gives us 9 (as 6 × 0.15 = 0.9, so adding a zero at the end gives us 9). Multiplying 5 by 0.15 gives us 0.75. Adding these two products together gives us 9.75.
Therefore, the expression 65 × 0.15 is equivalent to 9.75. This can also be verified by simply multiplying 65 by 0.15 using a calculator.
In conclusion, the expression 65 × 0.15 is equivalent to 9.75. This can be found by using the distributive property and multiplying each digit separately, or by using a calculator to directly multiply 65 by 0.15. Both methods will give the same answer of 9.75, thus the correct option is d.