Understanding One-Step Equations with Decimals

This video tutorial explains how to solve one-step equations involving decimals. It covers the basic principles of undoing operations and ensuring the same operation is performed on both sides of the equation. The tutorial provides examples for solving equations using addition, subtraction, multiplication, and division, emphasizing the importance of aligning decimals and understanding the operations. The video concludes with a summary of the key steps and encourages viewers to subscribe for more math and science content.

What is the first step in solving one-step equations involving decimals?

• Perform the same operation on both sides

• Multiply both sides by 10

• Undo the operation

• Add decimals to both sides

In the equation X + 45.6 = 101.4, what operation should be performed to solve for X?

• Divide both sides by 45.6

• Multiply both sides by 45.6

• Subtract 45.6 from both sides

• Add 45.6 to both sides

When solving an equation with subtraction, what operation should be performed?

• Divide both sides by the same number

• Multiply both sides by the same number

• Add the same number to both sides

• Subtract the same number from both sides

How should decimals be aligned when performing addition or subtraction in equations?

• Align them vertically

• Align them to the right

• Align them to the left

• Align them diagonally

In the equation X/1.5 = 2.25, what operation should be performed to solve for X?

• Multiply both sides by 1.5

• Divide both sides by 1.5

• Add 1.5 to both sides

• Subtract 1.5 from both sides

When multiplying decimals, what is a useful strategy?

• Ignore the decimals and add them back later

• Align the decimals before multiplying

• Multiply as if they are fractions

• Convert them to whole numbers first

In the equation 7.5 = 2.5P, what operation should be performed to solve for P?

• Divide both sides by 2.5

• Add 2.5 to both sides

• Multiply both sides by 2.5

• Subtract 2.5 from both sides

What must be done to the decimal when dividing 7.5 by 2.5?

• Remove the decimal completely

• Add a zero to the decimal

• Move the decimal one place to the right

• Move the decimal one place to the left

What is the result of dividing 75 by 25?

• 4

• 3

• 2

• 5

What is the final value of X in the equation X/1.5 = 2.25?

• 1.5

• 2.25

• 3.375

• 4.5