700 divided by 6 estimated
The Correct Answer and Explanation is:
To calculate 700 divided by 6, we first perform the division step-by-step:
700 ÷ 6 = 116.666…
This is a repeating decimal where the 6 repeats infinitely. In terms of an estimate, this answer can be rounded to the nearest whole number or to one decimal place, depending on the level of precision you require.
Estimation:
Since 6 doesn’t divide evenly into 700, we will estimate the quotient by considering nearby multiples of 6:
- Find multiples of 6 close to 700:
- 6 × 116 = 696 (which is just 4 less than 700)
- 6 × 117 = 702 (which is just 2 more than 700)
Given that 700 is very close to 696, we can estimate the result as 117.
Explanation:
Dividing large numbers like 700 by 6 can sometimes result in non-integer answers, which is common when the divisor doesn’t fit perfectly into the dividend. Estimating the result by rounding or using close multiples helps to simplify the division when precision isn’t crucial. For example, the exact quotient of 700 ÷ 6 is 116.666…, but for many practical purposes, rounding it to 117 is sufficient.
In estimating, we can often rely on nearby multiples of the divisor (6 in this case) to decide on a reasonable rounded number. In this case, 117 is a reasonable estimate because it is very close to the actual result (116.666…) and better aligns with how division works when estimating quickly in mental math.
So, 700 ÷ 6 = 116.666…, and the estimate is 117.
This process of dividing and estimating is useful in many practical applications, especially when you need a quick approximation without requiring exact precision.