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Chapter 2: Q6. (page 84)

Use the distributive property to evaluate the expression.

-38+5

Short Answer

Expert verified

The value of the expression is -39.

Step by step solution

01

Step-1 – Distributive property

For any real numbers a, b, and c, the distributive property is given by:

ab+c=a路b+a路c

02

Step-2 – Example of distributive property

To evaluate the expression -38+5, distribute 鈥�3 to both the terms inside the parenthesis and remove the parenthesis sign to get

鈭�38+5=鈭�3鈰�8鈭�3鈰�5=鈭�24鈭�15

03

Step-3 – Add the numbers

Now, to evaluate further combine the constants to get

鈭�38+5=鈭�24鈭�15=鈭�39.

Thus, the value of the expression is -39.

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