Solving Equations with Decimals

The video tutorial explains how to solve the equation x + 1.53 = 7.38 by isolating x. It demonstrates subtracting 1.53 from both sides, using both vertical and horizontal methods. The solution is x = 5.85, which is verified by substitution. The tutorial emphasizes aligning decimals for easier subtraction and checks the solution with a calculator.

What is the initial equation that needs to be solved?

• x plus 1.53 equals 7.38

• x minus 1.53 equals 7.38

• x plus 1.53 equals 5.85

• x minus 1.53 equals 5.85

Tags

CCSS.7.EE.B.4A

What is the purpose of isolating x in the equation?

• To eliminate x from the equation

• To make the equation more complex

• To find the value of x that satisfies the equation

• To make x equal to zero

Tags

CCSS.6.EE.B.7

What operation is performed to isolate x in the equation x + 1.53 = 7.38?

• Add 1.53 to both sides

• Subtract 1.53 from both sides

• Multiply both sides by 1.53

• Divide both sides by 1.53

Tags

CCSS.5.NBT.B.7

Why is it easier to subtract decimals when they are lined up vertically?

• It is a requirement in mathematics

• It makes the subtraction faster

• It helps in aligning the decimal points correctly

• It reduces the number of steps

Tags

CCSS.5.NBT.B.7

What is the equivalent way to show subtraction besides vertically?

• Diagonally

• In a circle

• Horizontally

• In a triangle

Tags

CCSS.6.NS.B.3

What is the result of subtracting 1.53 from 7.38?

• 5.85

• 6.85

• 6.35

• 5.35

Tags

CCSS.6.EE.B.7

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

• x = 6.85

• x = 5.85

• x = 4.85

• x = 7.85

Tags

CCSS.5.NBT.B.7

What is the purpose of moving the decimal point down before subtracting?

• To make the subtraction faster

• To ensure the decimal points are aligned

• To change the value of the numbers

• To make the numbers larger

Tags

CCSS.8.EE.C.7B

How can we verify that the solution x = 5.85 is correct?

• By adding 1 to x

• By multiplying x by 2

• By substituting x back into the original equation

• By checking if x equals zero

Tags

CCSS.6.NS.B.3

What is the sum of 5.85 and 1.53?

• 7.38

• 7.85

• 8.38

• 6.38

Tags

CCSS.6.NS.B.3