N10: work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7/2 or 0.375 or 3/8); change recurring decimals into their corresponding fractions and vice versa

What is a terminating decimal?

What is a terminating decimal?

A decimal where there is a complete end to the decimal places, such as 0.35

A recurring decimal never terminates

What is 0.35 as a fraction?

35/100=7/20 (divide both by 5)

What is a recurring decimal?

A decimal which has no end, such as 0.3 recurring

It is shown with a dot above the recurring numbers

How is a recurring decimal written?

With a dot above the recurring numbers; either as 0.3(.), 0.4(.)5(.), or 0.8(.)964(.)

Each (.) represents a recurring dot

How to change recurring decimals into their fractions

Example: Write 0.147 as a fraction in its simplest form.

Step 1: Make your number equal to x. x = 0.147

Step 2: Multiply both sides by 10 for each decimal place that isn't recurring (If there are none, it stays as Step 1). x = 0.147

Step 3: Multiply both sides by 10 for each number that is recurring. 1000x = 147.147

Step 4: Subtract the equations in steps 2 and 3 so that the numbers after the decimal point cancel, then solve for x. 147.147-0.147=147 999x=147 x=147/999

Step 5: Simplify the fraction if required. 49/333 (divided by 3)

How to convert a fraction to a decimal

Use the bus stop method to solve and find the recurring decimal

Write 7/33 as a decimal

0.21 recurring

Write 0.83(.) as a fraction

X=5/6