Solve the Sequence: 80:10:5·5:25 Using Order of Operations

Division and multiplication have equal priority in order of operations! When operations have the same priority, you must work from left to right in the order they appear.

Keep fractions for exact answers! Converting $\frac{8}{5}$ to 1.6 might cause rounding errors. Work with fractions throughout and only convert to decimal if asked.

Multiply the numerator by the whole number: $\frac{8}{5} \times 5 = \frac{8 \times 5}{5} = \frac{40}{5} = 8$. The denominator stays the same!

Remember that colon (:) means division! So 80:10 is the same as 80÷10. Some regions use colons instead of division symbols, but they mean exactly the same thing.

Convert to decimal and verify: $\frac{8}{25} = 0.32$. You can also work backwards: 0.32 × 25 = 8, confirming your fraction is right!