M6 Topic 7 Review Rational Numbers

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What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

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How do you compare two rational numbers?

Back

To compare two rational numbers, convert them to decimals or find a common denominator to see which is greater or lesser.

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What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, |-3| = 3.

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What happens to a number when it is reflected over the y-axis?

Back

When a point (x, y) is reflected over the y-axis, its x-coordinate changes sign, resulting in the point (-x, y).

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What happens to a number when it is reflected over the x-axis?

Back

When a point (x, y) is reflected over the x-axis, its y-coordinate changes sign, resulting in the point (x, -y).

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What is the result of adding a positive and a negative rational number?

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The result depends on the absolute values of the numbers. If the positive number is greater, the result is positive; if the negative number is greater, the result is negative.

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What is the result of subtracting a negative number from a positive number?

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Subtracting a negative number is the same as adding its absolute value, so the result will be greater than the original positive number.

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How do you convert a fraction to a decimal?

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To convert a fraction to a decimal, divide the numerator by the denominator.

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What is the significance of zero in rational numbers?

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Zero is a rational number that represents the absence of quantity and serves as the neutral point between positive and negative numbers.

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What does it mean for two numbers to be equal?

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Two numbers are equal if they represent the same value or point on the number line.