Understanding 0.9 Repeating Equals 1

The video tutorial demonstrates that 1 equals 0.9 repeating using algebraic equations. It begins by defining x as 0.9 repeating, then multiplies both sides by 10 to form a new equation. By subtracting the original equation from the new one, the tutorial shows that 9x equals 9. Dividing both sides by 9, it concludes that x equals 1, proving that 1 equals 0.9 repeating.

What is the initial question posed in the video?

• Is 0.9 repeating equal to 0.8?

• Can 0.9 repeating be less than 1?

• Is 0.9 repeating greater than 1?

• Does 1 equal 0.9 repeating?

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

What is the value of x defined as in the video?

• 0.8 repeating

• 0.9 repeating

• 10

• 1

Tags

CCSS.5.NBT.A.2

What operation is performed on both sides of the equation to form a new equation?

• Subtraction

• Addition

• Multiplication by 10

• Division by 10

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CCSS.4.OA.A.3

What is the result of subtracting the two equations?

• x equals 1

• x equals 10

• x equals 9

• x equals 0

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B

What conclusion is reached at the end of the video?

• 0.9 repeating equals 1

• 0.9 repeating is greater than 1

• 0.9 repeating is less than 1

• 0.9 repeating equals 0

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B