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Here are some tips for Compare Mixed Values 2, which aligns with New York state standards:

Compare Mixed Values 2

Positive and Negative Comparison:

• When comparing positive and positive, the number with the bigger value is larger.
	Example:	3 < 10     0.099 < 0.1
• When comparing positive and negative, the positive number is always larger than the negative number.
	Example:	-99 < 1     -100 < 0.001
• When comparing negative and negative, the number with the smaller value is larger.
	Example:	-100 < -1     - 4 < - 0.01

Example 1: Positive and negative

Compare. Round fractions to the nearest hundredth when comparing. For example, 2/3 = 0.67.

2 4

- 0.42

Step 1: Check the signs
In this problem, one number is positive and the other is negative.
The positive number is always larger than the negative number.
So, you're done in one step!

2 4

- 0.42

Example 2: Negative and negative

Compare. Round fractions to the nearest hundredth when comparing. For example, 2/3 = 0.67.

- 9 10

- 0.82

Step 1: Check the signs
In this problem, both numbers are negative.
The number with the smaller value is larger.

Step 2: Convert and compare
You can either compare the two number as fractions or decimals.

Comparing fractions	Comparing decimals
- 9 10   ?   - 0.82 - 90 100   ?   - 82 100 - 90 100   <   - 82 100	- 9 10   ?   - 0.82 - 0.9   ?   - 0.82 - 0.9   <   - 0.82

- 9 10

- 0.82

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