💡Every fourth value in the repeating decimal is 7.
🔢The digit at a multiple of four will always be a seven.
🔄Treat the problem as a pattern problem and identify the repeating pattern.
✖️Multiples of four have a seven as the digit.
🗒️Write out the values in the repeating decimal to identify the pattern.
How do you find the 28th digit after the decimal point in a repeating decimal?
—Since 28 is divisible by four, the 28th digit after the decimal point will be a seven.
What is the pattern in a repeating decimal?
—The pattern in a repeating decimal is that every fourth value is a seven.
How do you find the 400th digit after the decimal point in a repeating decimal?
—Since 400 is a multiple of four, the 400th digit after the decimal point will be a seven.
What is the 4,000th digit after the decimal point in a repeating decimal?
—Since 4,000 is a multiple of four, the 4,000th digit after the decimal point will be a seven.
How can I apply the pattern to find a specific digit in a repeating decimal?
—Divide the position of the digit by four. If the result is a whole number, the digit will be a seven.
00:00To find the 245th digit after the decimal point in a repeating decimal, identify the pattern and use ratios.
02:20The pattern in a repeating decimal is that every fourth value is a seven.
03:28By understanding the pattern, you can easily determine the digit at any multiple of four.
05:42Applying the pattern, you can find the digit at any specific position in a repeating decimal.
08:20In a right isosceles triangle, the hypotenuse can be found by multiplying the side length by the square root of two.
09:24To calculate the final percentage of a number after successive increases and decreases, start with the original number and apply the changes step by step.
09:58By assigning a value to the original number and performing the calculations, you can find the percentage of the final number compared to the original.
10:29The final number is 91% of the original number.
