To solve the problem [tex]\(7 \times 6.1\)[/tex] using the distributive property and mental math, follow these steps:
1. Break down [tex]\(6.1\)[/tex] into simpler parts: [tex]\(6.1 = 6 + 0.1\)[/tex].
2. Apply the distributive property: [tex]\(7 \times (6 + 0.1) = (7 \times 6) + (7 \times 0.1)\)[/tex].
3. Calculate the first part: [tex]\(7 \times 6 = 42\)[/tex].
4. Calculate the second part: [tex]\(7 \times 0.1 = 0.7\)[/tex].
5. Add these two results together: [tex]\(42 + 0.7 = 42.7\)[/tex].
Therefore, the product of [tex]\(7 \times 6.1\)[/tex] is [tex]\(42.7\)[/tex].
So, the correct answer is:
d. 42.7
