Answer :
Let's look at each option to determine which one is not a correct way to represent the division of 913 by 29:
A) [tex]\(913 \div 29 = 31 \, r \, 14\)[/tex]:
This representation shows the quotient and the remainder. When you divide 913 by 29, the quotient is 31 and the remainder is 14. This format is correct for showing division with a whole number result and a remainder.
B) [tex]\(913 \div 29 = 31 \frac{14}{29}\)[/tex]:
This option shows the division result as a mixed number. The whole number part is 31, and the fractional part is the remainder over the divisor, [tex]\( \frac{14}{29} \)[/tex]. This is a correct representation of division as a mixed number.
C) [tex]\(913 \div 29 = 31.14\)[/tex]:
This representation uses a decimal format. However, with division, 913 divided by 29 is approximately 31.4827586, not 31.14. The decimal representation given is incorrect because it incorrectly uses the remainder (14) as the decimal, which is not how division results in decimal form are expressed.
D) [tex]\(913 \div 29 \approx 31\)[/tex]:
This option indicates an approximation. While it simplifies the division to a whole number, it's often used in informal settings when an approximate value is acceptable. Thus, it can be correct in scenarios where exact precision isn't necessary.
From these explanations, option C is not a correct way to show the answer to a division problem.
A) [tex]\(913 \div 29 = 31 \, r \, 14\)[/tex]:
This representation shows the quotient and the remainder. When you divide 913 by 29, the quotient is 31 and the remainder is 14. This format is correct for showing division with a whole number result and a remainder.
B) [tex]\(913 \div 29 = 31 \frac{14}{29}\)[/tex]:
This option shows the division result as a mixed number. The whole number part is 31, and the fractional part is the remainder over the divisor, [tex]\( \frac{14}{29} \)[/tex]. This is a correct representation of division as a mixed number.
C) [tex]\(913 \div 29 = 31.14\)[/tex]:
This representation uses a decimal format. However, with division, 913 divided by 29 is approximately 31.4827586, not 31.14. The decimal representation given is incorrect because it incorrectly uses the remainder (14) as the decimal, which is not how division results in decimal form are expressed.
D) [tex]\(913 \div 29 \approx 31\)[/tex]:
This option indicates an approximation. While it simplifies the division to a whole number, it's often used in informal settings when an approximate value is acceptable. Thus, it can be correct in scenarios where exact precision isn't necessary.
From these explanations, option C is not a correct way to show the answer to a division problem.
