Fraction Operations and Basic Arithmetic

This tutorial covers evaluating numerical expressions with rational numbers, focusing on the order of operations (PEMDAS). It includes examples of subtracting and dividing fractions, applying exponents to fractions, and combining these operations. The tutorial emphasizes finding common denominators for subtraction, flipping and multiplying for division, and applying exponents to both numerators and denominators.

What is the correct order of operations when evaluating numerical expressions?

• Multiplication, Division, Addition, Subtraction, Parentheses, Exponents

• Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

• Exponents, Parentheses, Multiplication, Division, Addition, Subtraction

• Parentheses, Exponents, Addition, Subtraction, Multiplication, Division

What is the least common multiple of 8 and 9?

• 64

• 72

• 81

• 56

How do you subtract fractions with different denominators?

• Subtract the numerators directly

• Find a common denominator, then subtract the numerators

• Multiply the fractions first

• Subtract the denominators directly

What is the result of subtracting 32 from 45 when both are over a common denominator of 72?

• 45/32

• 77/72

• 32/45

• 13/72

What is the process to divide fractions?

• Keep the first fraction, flip the second, and multiply

• Flip the first fraction and multiply

• Multiply the numerators and denominators directly

• Subtract the fractions

What is the result of 5 times 12?

• 50

• 60

• 70

• 80

What is the result of 1 times 13?

• 12

• 13

• 11

• 10

How do you apply an exponent to a fraction?

• Apply the exponent only to the numerator

• Apply the exponent only to the denominator

• Apply the exponent to both the numerator and the denominator

• Do not apply the exponent to fractions

What is 4 squared?

• 12

• 16

• 8

• 20

What is 5 squared?

• 15

• 20

• 10

• 25