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Using the distributive property, write an expression to represent the sum of

54 and 72.
a) 54⋅72
b) 54+72
c) 54(1+72)
d) 54×72

User Maribell
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1 Answer

3 votes

Final answer:

The expression to represent the sum of 54 and 72 using the distributive property would simply be 54+72, as no distribution is needed. For the scientific notation, the numbers should be written with a decimal after the first non-zero digit and then multiplied by 10 raised to the power that will place the decimal correctly.

Step-by-step explanation:

The question seems to be improperly formatted, as it is mixing a question about the distributive property with the concept of scientific notation. However, to clarify the concepts separately:

Using the distributive property, the expression to represent the sum of 54 and 72 would be 54+72, which corresponds to option b). The distributive property would apply if we were to factor out a common factor from a sum or distribute a factor across a sum, neither of which is needed here to represent the straightforward sum of two numbers.

Proper Scientific Notation

To write the numbers in proper scientific notation:

72.44 × 10^3 is already in scientific notation, but typically it would be written as 7.244 × 10^4 if one were to place the decimal after the first non-zero digit.

9,943 × 10^-5 would be rewritten as 9.943 × 10^1 × 10^-5 = 9.943 × 10^-4.

588,399 × 10^2 should be 5.88399 × 10^5 × 10^2 = 5.88399 × 10^7.

User Zbyl
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