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Simplify the following expressions:

A. [tex]2(3 \, \text{km}) + 2(7 \, \text{km})[/tex]
B. [tex]3 \, \text{km} + 7 \, \text{km}[/tex]
C. [tex]10 \, \text{km}[/tex]
D. [tex]3 \, \text{km} \times 7 \, \text{km}[/tex]

Sagot :

GinnyAnsweridn
Certainly! Let's solve the mathematical expressions step-by-step.

### 1. Calculate [tex]\( 2(3 \text{ km}) + 2(7 \text{ km}) \)[/tex]:

First, we multiply each term inside the parentheses by 2:
- [tex]\( 2 \times 3 \text{ km} = 6 \text{ km} \)[/tex]
- [tex]\( 2 \times 7 \text{ km} = 14 \text{ km} \)[/tex]

Next, we add these results together:
- [tex]\( 6 \text{ km} + 14 \text{ km} = 20 \text{ km} \)[/tex]

So, [tex]\( 2(3 \text{ km}) + 2(7 \text{ km}) \)[/tex] equals [tex]\( 20 \text{ km} \)[/tex].

### 2. Calculate [tex]\( 3 \text{ km} + 7 \text{ km} \)[/tex]:

Here, we simply add the two distances together:
- [tex]\( 3 \text{ km} + 7 \text{ km} = 10 \text{ km} \)[/tex]

So, [tex]\( 3 \text{ km} + 7 \text{ km} \)[/tex] equals [tex]\( 10 \text{ km} \)[/tex].

### 3. Calculate [tex]\( 3 \text{ km} \times 7 \text{ km} \)[/tex]:

For multiplication:
- [tex]\( 3 \text{ km} \times 7 \text{ km} = 21 \text{ km}^2 \)[/tex]

So, [tex]\( 3 \text{ km} \times 7 \text{ km} \)[/tex] equals [tex]\( 21 \text{ km}^2 \)[/tex].

### Summary

Thus, the numerical results for the given expressions are:
1. [tex]\( 2 (3 \text{ km}) + 2 (7 \text{ km}) = 20 \text{ km} \)[/tex]
2. [tex]\( 3 \text{ km} + 7 \text{ km} = 10 \text{ km} \)[/tex]
3. [tex]\( 3 \text{ km} \times 7 \text{ km} = 21 \text{ km}^2 \)[/tex]
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