Sure! Let's calculate [tex]\(31 \times (10 + 2)\)[/tex] step by step using the distributive law.
The distributive law states that [tex]\(a \times (b + c) = (a \times b) + (a \times c)\)[/tex].
In this case, we have:
- [tex]\(a = 31\)[/tex]
- [tex]\(b = 10\)[/tex]
- [tex]\(c = 2\)[/tex]
Now, apply the distributive law:
1. First, distribute [tex]\(31\)[/tex] to each term inside the parentheses:
[tex]\(31 \times (10 + 2) = (31 \times 10) + (31 \times 2)\)[/tex]
2. Calculate the individual terms:
[tex]\(31 \times 10 = 310\)[/tex]
[tex]\(31 \times 2 = 62\)[/tex]
3. Finally, add these two results together:
[tex]\(310 + 62 = 372\)[/tex]
Therefore, [tex]\(31 \times (10 + 2) = 372\)[/tex].
