When you divide 8 by 3, the result is a decimal or fraction, depending on how you choose to express it. Here’s the breakdown:
Decimal Representation
[ 8 \div 3 = 2.666\ldots ] The decimal form goes on indefinitely with the digit 6 repeating. It’s often written as 2.67 for simplicity, but this is an approximation.
Fraction Representation
[ 8 \div 3 = \frac{8}{3} ] This fraction is in its simplest form and represents the exact result of the division.
Mixed Number Representation
[ 8 \div 3 = 2 \frac{2}{3} ] This means 2 whole units and 2⁄3 of another unit.
Key Takeaway
- Exact Result: (\frac{8}{3})
- Approximate Decimal: 2.67
- Mixed Number: (2 \frac{2}{3})
This division highlights the difference between exact and approximate values in mathematics.
The division of 8 by 3 results in an exact fraction \frac{8}{3}, an approximate decimal 2.67, or a mixed number 2 \frac{2}{3}.
What is the exact result of 8 divided by 3?
+The exact result is the fraction (\frac{8}{3}), which cannot be simplified further.
Why does 8 divided by 3 have a repeating decimal?
+The decimal repeats because 8 is not evenly divisible by 3, leading to a remainder that cycles indefinitely in decimal form.
How do you convert (\frac{8}{3}) to a decimal?
+Divide 8 by 3 using long division or a calculator to get the repeating decimal 2.666…
What is the mixed number form of 8 divided by 3?
+The mixed number form is (2 \frac{2}{3}), representing 2 whole units and 2⁄3 of another unit.
