Solving Equations with Decimals

The video tutorial explains how to solve an equation involving decimals by isolating the variable D. It covers the steps of using multiplication and subtraction to simplify the equation, followed by division to find the quotient. The tutorial includes a detailed long division process and concludes with verifying the solution by substituting the value back into the original equation.

What is the first step in solving an equation with decimals?

• Divide both sides by a constant

• Multiply both sides by a power of ten

• Add a constant to both sides

• Subtract a constant from both sides

Why do we multiply both sides of the equation by 10,000?

• To remove decimals from the equation

• To eliminate the variable

• To add more decimals

• To make the equation simpler

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CCSS.5.NBT.A.2

What is the result of multiplying 10,000 by 8.21?

• 8,210

• 82,100

• 821,000

• 8,210,000

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CCSS.7.EE.B.4A

What operation is used to isolate the variable term in the equation?

• Multiplication

• Division

• Subtraction

• Addition

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CCSS.7.EE.B.4A

What is the next step after subtracting 82,100 from both sides?

• Subtract 31,600 from both sides

• Add 31,600 to both sides

• Multiply both sides by 31,600

• Divide both sides by 31,600

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CCSS.HSA.REI.A.1

What is the purpose of dividing both sides by 31,600?

• To simplify the equation

• To find the value of D

• To eliminate the variable

• To add more terms

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CCSS.5.NBT.B.7

What is the quotient when dividing 5,544 by 31,600?

• 3.34

• 2.34

• 1.34

• 0.34

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CCSS.6.EE.B.5

How do we verify the solution of the equation?

• By checking the original equation

• By adding the solution to both sides

• By multiplying the solution by a constant

• By subtracting the solution from both sides

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CCSS.6.EE.A.2C

What is the final value of D in the equation?

• 2.34

• 3.34

• 4.34

• 5.34

What should be done if the left side of the equation does not equal the right side after substitution?

• Recalculate the value of D

• Change the original equation

• Add more terms to the equation

• Ignore the discrepancy