Solving Equations with Decimals

The video tutorial explains how to solve the equation 3.5h = 13.3 by isolating the variable h. It involves dividing both sides by 3.5 and converting the division into a simpler form by making the divisor a whole number. The tutorial provides a step-by-step calculation of the quotient and verifies the solution by substituting back into the original equation. The solution is confirmed as h = 3.8.

What is the initial equation that needs to be solved?

• h = 3.5 + 13.3

• 3.5 + h = 13.3

• h + 3.5 = 13.3

• 3.5h = 13.3

Tags

CCSS.HSA.REI.A.1

What operation is used to isolate the variable h?

• Addition

• Subtraction

• Multiplication

• Division

Tags

CCSS.5.NBT.B.7

Why do we multiply both the numerator and denominator by 10 during division?

• To make the divisor a whole number

• To make the dividend a whole number

• To simplify the fraction

• To change the equation

Tags

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

What is the equivalent fraction of 13.3/3.5 after multiplying by 10?

• 130/30

• 133/30

• 130/35

• 133/35

Tags

CCSS.5.NBT.B.7

What is the result of dividing 133 by 35?

• 3.3

• 3.5

• 3.8

• 4.0

Tags

CCSS.5.NBT.B.6

CCSS.6.NS.B.2

How many times does 35 fit into 133?

• 5 times

• 4 times

• 3 times

• 2 times

Tags

CCSS.5.NBT.B.6

CCSS.6.NS.B.2

What is the next step after finding the difference of zero in the division process?

• Subtract again

• Multiply the quotient

• Add another zero to the dividend

• Stop the division

Tags

CCSS.7.EE.B.4A

What is the final value of h after solving the equation?

• 3.5

• 13.3

• 3.8

• 1.0

Tags

CCSS.8.EE.C.7B

What is the purpose of checking the solution by substituting back into the original equation?

• To change the equation

• To find a new solution

• To verify the solution is correct

• To simplify the equation

Tags

CCSS.6.NS.B.3

What is the product of 3.5 and 3.8?

• 11.3

• 12.3

• 13.3

• 14.3

Tags

CCSS.6.NS.B.3