When you write a repeating decimal, how do you decide where to draw the bar?
I WOULD PUT THE BAR WHERE THE DIGITS REPEAT SO IF I HAVE A NUMBER LIKE 0.1221221221223 I WOULD PUT A BAR INDER 122 BECAUSE THOSE ARE THE NUMBERS THAT REPEAT.
When writing a repeating decimal, the bar is typically placed over the digit or sequence of digits that repeat. To determine where to draw the bar, you need to identify the repeating pattern in the decimal. Here's a step-by-step approach to finding the repeating part in a decimal:
Step 1: Divide the numerator of the decimal by the denominator using long division. Keep dividing until you either obtain a remainder of zero or reach a repeating pattern.
Step 2: If you obtain a remainder of zero, the decimal is terminating, and you don't need to draw any bar.
Step 3: If you encounter a repeating pattern, observe the digits in the quotient. The digits that first repeat indicate the start of the repeating part.
Step 4: Once you identify the repeating digits, place a bar over them to denote the repeating section.
For example, let's consider the decimal 0.142857142857...
Step 1: Divide 1 by 7: 1 รท 7 = 0.142857.
Step 2: As there is a repeating pattern, proceed to the next step.
Step 3: The digits 142857 repeat. Therefore, the repeating part starts from 1 and ends at 7.
Step 4: Place a bar over the repeating digits: 0.142857
Remember that sometimes the repeating part may consist of just a single digit, a group of digits, or a combination of both. By following this method, you can determine where to draw the bar when writing a repeating decimal.
When writing a repeating decimal, the bar is typically drawn above the digit(s) that repeat. To determine where to draw the bar, follow these steps:
Step 1: Identify the repeating portion of the decimal sequence. This is the part of the decimal that repeats infinitely.
Step 2: Count the number of digits in the repeating portion. Let's say there are n digits that repeat.
Step 3: Determine the position of the bar. The bar should be drawn above the n digits that repeat.
For example, consider the decimal 0.123123123...
Step 1: The repeating portion is 123.
Step 2: There are 3 digits in the repeating portion.
Step 3: Draw the bar above the 3 repeating digits: 0.123 with a bar above the 123.
Another example, let's say we have the decimal 0.286286286...
Step 1: The repeating portion is 286.
Step 2: There are 3 digits in the repeating portion.
Step 3: Draw the bar above the 3 repeating digits: 0.286 with a bar above the 286.
By following these steps, you can accurately represent repeating decimals with the decimal bar appropriately placed.
you draw the bar over the digits which repeat
1/3 = 0.3
9/7 = 1 2/7 = 1.2815714
4111/333000 = 0.123456