Pre-Algebra 19 - Converting Terminating Decimal Numbers to Fractions

Professor Von Schmohawk explains how to convert terminating decimal numbers back into fractions. The process involves multiplying the decimal by 10 enough times to shift all digits to the left of the decimal point, creating an integer. This integer is then divided by the same power of 10 to revert to the original number, now expressed as a fraction. An example is provided, converting 0.125 to 1/8. The lecture concludes with a preview of converting repeating decimals to fractions in the next session.

What happens to a decimal number when you multiply it by 10?

• The decimal point moves two places to the right.

• Each digit is shifted one column to the left.

• The number becomes a fraction.

• Each digit is shifted one column to the right.

How can you convert a decimal like 0.125 into a fraction?

• By adding 100 to it.

• By subtracting 0.1 from it.

• By multiplying it by 10 and then dividing by 10.

• By multiplying it by 1,000 to make it an integer, then dividing by 1,000.

What is the fraction equivalent of the decimal 0.125?

• 1/10

• 1/8

• 1/4

• 1/2

When converting a decimal with digits on both sides of the decimal point, what is the first step?

• Convert the entire number into a fraction directly.

• Separate the integer part from the decimal part.

• Multiply the entire number by 100.

• Add the integer and decimal parts together.

What is created when you combine an integer and a fraction?

• A mixed number

• A decimal

• A repeating decimal

• A whole number