Understanding Decimals and Fractions

This video introduces module 3.1, focusing on rational numbers and decimals. It explains the concept of ratios, the difference between terminating and repeating decimals, and how to convert mixed numbers into decimals. The video also covers negative ratios and the concept of simplest form, providing examples and explanations throughout. The instructor encourages questions and provides a summary of key points.

What is a rational number?

• A number that can be expressed as a fraction with a non-zero denominator

• A number that cannot be expressed as a fraction

• A number that is always positive

• A number that is always negative

Why can't the denominator in a ratio be zero?

• Because it would make the ratio positive

• Because it would make the ratio negative

• Because it would make the ratio infinite

• Because it would make the ratio undefined

What is a terminating decimal?

• A decimal that ends after a finite number of digits

• A decimal that repeats indefinitely

• A decimal that changes randomly

• A decimal that is always zero

How is a repeating decimal represented?

• With a dot over the repeating digits

• With a bar over the repeating digits

• With parentheses around the repeating digits

• With a star next to the repeating digits

What pattern is observed in the decimal 0.01000100001...?

• The decimal has no pattern

• The decimal terminates after a few digits

• The number of ones between zeros increases

• The number of zeros between ones increases

What is a mixed number?

• A number that is only a whole number

• A number with a whole part and a fractional part

• A number that is negative

• A number that is only a fraction

How do you convert a mixed number to a decimal?

• By adding the decimal equivalent of the fraction to the whole number

• By dividing the whole number by the fraction

• By subtracting the fraction from the whole number

• By multiplying the whole number by the fraction

What happens when you divide a negative integer by a positive integer?

• The result is negative

• The result is positive

• The result is zero

• The result is undefined

What is the simplest form of a fraction?

• When the numerator is larger than the denominator

• When the numerator and denominator have no common factors other than 1

• When both numerator and denominator are equal

• When the denominator is larger than the numerator

How do you find the simplest form of a fraction?

• By dividing both the numerator and denominator by their greatest common divisor

• By multiplying both the numerator and denominator by the same number

• By subtracting the numerator from the denominator

• By adding the numerator and denominator