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Understanding 0.9 Repeating Equals 1

Understanding 0.9 Repeating Equals 1

Assessment

Interactive Video

Mathematics

6th - 8th Grade

Practice Problem

Hard

CCSS
6.NS.C.7A, 7.NS.A.2D, 5.NBT.A.2

+3

Standards-aligned

Created by

Liam Anderson

FREE Resource

Standards-aligned

CCSS.6.NS.C.7A
,
CCSS.7.NS.A.2D
,
CCSS.5.NBT.A.2
CCSS.4.OA.A.3
,
CCSS.8.NS.A.1
,
CCSS.6.NS.C.7B
,
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.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Subtraction

Addition

Multiplication by 10

Division by 10

Tags

CCSS.4.OA.A.3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

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