Solving Equations with Decimals

The video tutorial explains how to solve an equation with decimals by first clearing the decimals through multiplication. It then guides through solving the resulting two-step equation, simplifying the solution to both a fraction and a decimal, and verifying the solution by substitution.

What is the first step in solving the equation 1.1X + 1.14 = 1.36?

• Subtract 1.14 from both sides

• Add 1.14 to both sides

• Multiply both sides by 100

• Divide both sides by 1.1

Why do we multiply both sides of the equation by 100?

• To clear the decimals

• To convert the equation to a fraction

• To make the equation simpler

• To increase the value of X

After clearing the decimals, what is the new equation?

• 11X + 11.4 = 13.6

• 110X + 114 = 136

• 1.1X + 1.14 = 1.36

• 110X + 1.14 = 136

What operation is used to isolate the variable term in the equation 110X + 114 = 136?

• Addition

• Subtraction

• Division

• Multiplication

What is the result of subtracting 114 from both sides of the equation 110X + 114 = 136?

• 110X = 22

• 110X = 250

• X = 250

• X = 22

How do you convert the fraction 1/5 to a decimal?

• Add 0.5

• Divide by 5

• Subtract 0.2

• Multiply by 2

What is the decimal equivalent of the fraction 1/5?

• 0.25

• 0.2

• 0.5

• 0.1

What is the greatest common factor used to simplify the fraction 22/110?

• 5

• 10

• 22

• 11

How do you verify the solution of the equation?

• By multiplying both sides by 2

• By checking if the left side equals the right side

• By adding 1 to both sides

• By subtracting 1 from both sides

What is the final step to ensure the solution is correct?

• Recalculate the entire equation

• Verify by substitution

• Divide the solution by 10

• Multiply the solution by 10