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Calculate [tex]$31 \times (10 + 2)$[/tex] using the distributive law.

Sagot :

GinnyAnswer
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].
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