SAT ACT Prep How to determine the 46 digit of a fraction

The video tutorial explains how to find the 46th digit to the right of the decimal point for the fraction 1/7. It begins by discussing the concept of repeating decimals and how fractions like 1/3 and 1/2 convert to decimals. The instructor then demonstrates the division process to identify the repeating pattern in the decimal representation of 1/7. Finally, the tutorial shows how to calculate the 46th digit by understanding the repeating cycle of the decimal sequence.

Why might calculators struggle to evaluate the 47th digit of a decimal?

• They are not designed for such precision.

• They can only handle whole numbers.

• They only work with fractions.

• They do not support division operations.

What is a repeating decimal?

• A decimal that only has zeros after the decimal point.

• A decimal that repeats a sequence of digits indefinitely.

• A decimal that ends after a few digits.

• A decimal that changes its sequence randomly.

Which of the following fractions is known to have a repeating decimal?

• 1/3

• 1/5

• 1/2

• 1/4

What is the first step in finding the decimal representation of 1/7?

• Multiply by 10.

• Add a decimal point.

• Subtract 1 from 7.

• Divide 7 by 1.

What is the repeating sequence in the decimal representation of 1/7?

• 987654

• 123456

• 654321

• 142857

How do you determine the 46th digit in a repeating decimal sequence?

• By using a calculator to find the exact digit.

• By dividing the position by the length of the sequence and finding the remainder.

• By guessing based on previous digits.

• By counting each digit manually.

What is the 46th digit in the repeating sequence of 1/7?

• 5

• 1

• 4

• 8