Problem 82
Question
State the name of the property illustrated. $$-8(3+11)=-24+(-88)$$
Step-by-Step Solution
Verified Answer
The property illustrated in the exercise is the distributive property.
1Step 1: Identify the property
Recognize the structure of the equation. There are two sides to the equation, on the left-hand side, a number is being multiplied by the sum of two other numbers (-8*(3+11)). On the right-hand side, there are two numbers being summed, which are the result of (-8*3) and (-8*11). This is the pattern of the distributive property of multiplication over the addition.
2Step 2: State the property
The property of distribution states that the multiplication of a number by the sum of two numbers is equal to the sum of the product of the number and each addend. Mathematically, for any a, b, and c, we have \(a*(b+c) = a*b + a*c\). This is exactly what's being demonstrated in this equation -8*(3+11) equals (-8*3) + (-8*11). Thus, the property illustrated in the equation is the distributive property.
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Problem 82
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Write each number in scientific notation. $$0.0027$$
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