TEKS 7.3A &7.3B (Rational Number Operations)

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 add two rational numbers with the same denominator?

Back

To add two rational numbers with the same denominator, you add the numerators and keep the denominator the same. For example, 1/4 + 2/4 = (1+2)/4 = 3/4.

Front

How do you subtract two rational numbers with different denominators?

Back

To subtract two rational numbers with different denominators, first find a common denominator, convert the fractions, then subtract the numerators. For example, 1/3 - 1/6 = 2/6 - 1/6 = 1/6.

Front

What is the process for multiplying two rational numbers?

Back

To multiply two rational numbers, multiply the numerators together and the denominators together. For example, (2/3) * (3/4) = (2*3)/(3*4) = 6/12 = 1/2.

Front

What is the process for dividing two rational numbers?

Back

To divide two rational numbers, multiply the first number by the reciprocal of the second number. For example, (1/2) ÷ (3/4) = (1/2) * (4/3) = 4/6 = 2/3.

Front

What is the absolute value of a rational number?

Back

The absolute value of a rational number is its distance from zero on the number line, regardless of direction. For example, | -3/5 | = 3/5.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction. For example, 2 1/2 is a mixed number.

Front

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

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder is the numerator of the fraction. For example, 7/4 = 1 3/4.

Front

What is the least common multiple (LCM)?

Back

The least common multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the numbers. For example, the LCM of 4 and 5 is 20.

Front

What is the greatest common factor (GCF)?

Back

The greatest common factor (GCF) of two or more numbers is the largest number that divides each of the numbers without leaving a remainder. For example, the GCF of 8 and 12 is 4.