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Which expression can be used to calculate 714 ÷ 7 ?

A. (7 ÷ 7) + (14 ÷ 7)
B. (7 ÷ 7) + (1 ÷ 7) + (4 ÷ 7)
C. (700 ÷ 7) + (1 ÷ 7) + (4 ÷ 7)
D. (700 ÷ 7) + (14 ÷ 7)

1 Answer

3 votes

Final answer:

The correct expression for calculating 714 ÷ 7 is Option D: (700 ÷ 7) + (14 ÷ 7), since it applies the distributive property correctly, dividing the number into parts that can be easily divided by 7.

Step-by-step explanation:

The question at hand is determining which expression can be calculated to yield the result of 714 ÷ 7. Upon evaluating the options, Option D provides the correct method for dividing the number 714 by 7. This can be seen when breaking 714 down into its hundreds and units: 700 and 14.

Thus, Option D reads as (700 ÷ 7) + (14 ÷ 7), which would indeed calculate to 714 ÷ 7, following the primary principles of division and addition, commonly known as the distributive property. This property states that a*(b+c) = a*b + a*c, which applied here results in 7*(100+2) = 7*100 + 7*2, yielding the correct answer.

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