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Verify the following:

(a) [tex]18 \times [7 + (-3)] = [18 \times 7] + [18 \times (-3)][/tex]

Sagot :

GinnyAnswer
Certainly! Let's verify the statement [tex]\(18 \times [7 + (-3)] = [18 \times 7] + [18 \times (-3)]\)[/tex] step by step to check if both sides of the equation are equal.

### Left Side of the Equation

Start with the left side:

[tex]\[18 \times [7 + (-3)]\][/tex]

1. Evaluate the expression inside the brackets first:
[tex]\[7 + (-3) = 4\][/tex]

2. Now multiply the result by 18:
[tex]\[18 \times 4 = 72\][/tex]

So, the left side of the equation evaluates to 72.

### Right Side of the Equation

Now, let's evaluate the right side:

[tex]\[[18 \times 7] + [18 \times (-3)]\][/tex]

1. First, perform the multiplications:
[tex]\[18 \times 7 = 126\][/tex]
[tex]\[18 \times (-3) = -54\][/tex]

2. Now, add the two results:
[tex]\[126 + (-54) = 72\][/tex]

So, the right side of the equation also evaluates to 72.

### Conclusion

Since both sides of the equation evaluate to 72, we can confirm that:

[tex]\[18 \times [7 + (-3)] = [18 \times 7] + [18 \times (-3)]\][/tex]

Both sides are equal, verifying the given statement.
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