Final answer:
To convert the improper fraction 956/125 to a mixed number, we divide 956 by 125, which results in 7 with a remainder of 81, giving us the mixed number 7 81/125.
Step-by-step explanation:
Converting Improper Fractions to Mixed Numbers
To convert the improper fraction 956/125 to a mixed number, we follow a simple process. The numerator (956) is divided by the denominator (125) to determine how many whole numbers are present. The remainder is then placed over the original denominator to form the fractional part of the mixed number. After performing the division, we find that 125 goes into 956 a whole of 7 times with a remainder of 81. This gives us the mixed number 7 81/125.
Regarding the example to understand the concept of fractions, when calculating what is one eighth of 1,000, we recognize that an eighth is close to one-tenth, and thus approximate the answer to be close to 100. The exact calculation involves multiplying 1,000 by the reciprocal of 8, which indeed gives us 125. This is intuitive reasoning and comparing it to an approximate value can help individuals understand the size of their answer relative to the whole.