Solving Equations with Decimals

This video tutorial explains how to solve a two-step equation involving decimals. It covers the process of isolating the variable using subtraction and division, and demonstrates how to calculate the quotient to find the solution. The tutorial concludes with a verification of the solution by substituting the value back into the original equation.

What are the two methods mentioned for solving equations with decimals?

• Using fractions or decimals

• Using addition or subtraction

• Using multiplication or division

• Leaving decimals or clearing them

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CCSS.6.EE.B.7

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

• Divide both sides by a number

• Subtract a constant from both sides

• Add a constant to both sides

• Multiply both sides by a number

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CCSS.HSA.REI.A.1

Why can't we subtract 3.16 from both sides of the equation?

• Because it is a constant

• Because it is attached to D by multiplication

• Because it is a variable

• Because it is a decimal

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CCSS.HSA.REI.A.1

What operation is used to isolate the variable D in the second step?

• Division

• Multiplication

• Subtraction

• Addition

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CCSS.5.NBT.B.7

What is the purpose of multiplying the divisor by 100?

• To make it a whole number

• To increase its value

• To decrease its value

• To simplify the equation

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CCSS.5.NBT.B.6

CCSS.6.NS.B.2

What is the first step in the division process to solve for D?

• Determine how many times the divisor fits into the dividend

• Multiply the divisor by 10

• Subtract the divisor from the dividend

• Add the divisor to the dividend

Tags

CCSS.6.EE.B.7

What is the quotient obtained when solving for D?

• 3.16

• 10.55

• 18.76

• 3.34

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CCSS.8.EE.C.7B

How do we verify the solution to the equation?

• By checking the original equation

• By using a calculator

• By substituting the solution back into the equation

• By solving a different equation

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CCSS.6.EE.A.2C

What is the result when substituting D = 3.34 back into the equation?

• 18.7644

• 18.76.44

• 18.76

• 18.764

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CCSS.8.EE.C.7B

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

• The left side equals the right side of the equation

• The solution is a whole number

• The solution is a decimal

• The solution is positive

Tags

CCSS.8.EE.C.7B