Adding and Subtracting Rational Numbers

This video tutorial covers the addition and subtraction of rational numbers, focusing on operations with same and different denominators. It explains how to find the least common multiple for denominators and demonstrates the simplification of fractions. The tutorial also addresses complex fractions and mixed operations, including conversion between decimals and fractions. The video aims to build on prior knowledge of fractions, decimals, and integers, providing step-by-step examples to enhance understanding.

What prior knowledge is essential for understanding the addition and subtraction of rational numbers?

• Knowledge of algebraic expressions

• Multiplication and division of whole numbers

• Addition and subtraction of fractions, decimals, and integers

• Understanding of geometric shapes

When adding fractions with the same denominator, what should you do with the denominators?

• Subtract them

• Multiply them

• Add them

• Keep them the same

What is the result of adding -1/5 and -9/5?

• -5

• -10/5

• -2

• -1

What is the first step when adding fractions with different denominators?

• Find the least common multiple of the denominators

• Multiply the denominators

• Add the numerators directly

• Subtract the smaller denominator from the larger one

What is the least common multiple (LCM) of 3 and 7?

• 10

• 3

• 21

• 14

How do you simplify the fraction 16/30?

• Add 2 to both numerator and denominator

• Subtract 2 from both numerator and denominator

• Multiply both numerator and denominator by 2

• Divide both numerator and denominator by 2

What is the equivalent fraction of -4/7 when the denominator is 21?

• -16/21

• -4/21

• -8/21

• -12/21

How do you convert the decimal -0.4 to a fraction?

• -4/10

• -2/5

• -1/2

• -3/5

What is the result of adding 1.5 and 3.2?

• 4.7

• 4.9

• 4.5

• 4.3

What is the result of subtracting 1.4 from 4.7?

• 3.1

• 3.5

• 3.7

• 3.3