Comparing Rational Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

How do you compare two rational numbers?

Back

To compare two rational numbers, convert them to a common denominator or convert them to decimal form, then use the greater than (>), less than (<), or equal to (=) signs.

Front

What is the mixed number form of the fraction 12/7?

Back

1 5/12

Front

How do you convert an improper fraction to a mixed number?

Back

Divide the numerator by the denominator. The quotient is the whole number, and the remainder over the original denominator is the fractional part.

Front

What is the decimal equivalent of 1.75?

Back

1.75 is already in decimal form, equivalent to 1 3/4.

Front

How do you determine if a negative rational number is greater or less than another negative rational number?

Back

A negative rational number is greater than another negative rational number if it is closer to zero on the number line.

Front

What is the mixed number form of the fraction 6/5?

Back

1 1/5

Front

How do you compare -3/4 and -4/5?

Back

Convert both fractions to decimal form: -3/4 = -0.75 and -4/5 = -0.8. Since -0.75 is greater than -0.8, -3/4 > -4/5.

Front

What is the significance of the signs >, <, and = in comparing numbers?

Back

These signs indicate the relationship between two numbers: > means greater than, < means less than, and = means equal to.

Front

What is the process for finding a common denominator?

Back

To find a common denominator, identify the least common multiple (LCM) of the denominators of the fractions being compared.