Understanding Rational Numbers and Comparisons

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Questions and Answers

Which of the following statements is true regarding the relationship between positive and negative numbers?

  • Negative and positive numbers are equal.
  • Positive numbers are greater than negative numbers. (correct)
  • Negative numbers can sometimes be equal to positive numbers.
  • Negative numbers are greater than positive numbers.

The number -1 is greater than the number 7.

False (B)

What type of number is always less than positive numbers?

Negative number

In the comparison between 8 and 15, the ______ number is greater.

<p>15</p> Signup and view all the answers

Match the following numbers with their classification:

<p>7 = Positive Number -1 = Negative Number 8 = Positive Number 15 = Positive Number</p> Signup and view all the answers

Which of the following represents 0.04 in rational form?

<p>$ rac{4}{100}$ (A), $ rac{1}{25}$ (C)</p> Signup and view all the answers

The number -13 can be represented as $ rac{-13}{1}$ in rational form.

<p>True (A)</p> Signup and view all the answers

What is the rational form of 1.24?

<p>$ rac{124}{100}$</p> Signup and view all the answers

The rational form of -525 is $ rac{_____}{1}$

<p>-525</p> Signup and view all the answers

Match the following decimals to their rational forms:

<p>0.42 = $ rac{42}{100}$ 3.5 = $ rac{35}{10}$ 0 = $ rac{0}{1}$ 16 = $ rac{16}{1}$</p> Signup and view all the answers

Flashcards

Rational Number

A number that can be expressed as a fraction, where the numerator and denominator are integers, and the denominator is not zero.

Integer as a Rational Number

A number that can be written as a fraction with a denominator of 1.

Decimal to Rational Conversion

A fraction with a denominator of 100 can be converted to a decimal by moving the decimal point two places to the left.

Decimal to Rational Conversion (2)

A number such as 1.24 can be converted to a fraction by writing it as a fraction with the decimal removed and the denominator as 1 followed by as many zeros as there are digits after the decimal point.

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Zero as a Rational Number

A number divided by 1 is equal to itself, making any number, including zero, a rational number.

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Negative vs. Positive

A number less than zero is always smaller than a number greater than zero.

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Number Line Comparison

Comparing two numbers, the smaller number is positioned to the left on the number line.

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Less Than Symbol

This symbol (<) indicates that the number on the left is smaller than the number on the right.

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Greater Than Symbol

This symbol (>) indicates that the number on the left is greater than the number on the right.

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Positive vs. Negative Comparison

Comparing a positive number with a negative number, the positive number is always greater.

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