Rational Numbers

Rational numbers represent a category of numbers that can be depicted as a fraction. In this fraction, both the numerator and the denominator must be integers, with the condition that the denominator is not zero. This category encompasses integers, fractions, and even decimals that can be converted into fractions like 0.5 (which is 1/2) or 0.333... (equivalent to 1/3).

Converting Regular to Scientific Notation

Convert the rational number 0.00000345 into scientific notation.

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Arranging a List in Order

Arrange the following rational numbers in ascending order:

- \frac{3}{4}

\frac{5}{6}

- \frac{2}{3}

\frac{1}{2}

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Expanded Notation

Write the number in two other forms. 27.

3 \times (\frac{1}{10}) + 2 \times (\frac{1}{100}) + 6 \times (\frac{1}{1, 000})

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Prime or Composite

If a rational number

\frac{a}{b}

is a prime number, where

a

and

b

are positive integers, and

b

is not equal to 1, what can we say about the value of

a

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Comparing Expressions

Compare the following rational expressions:

\frac{4}{7}

and

\frac{6}{10}

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Estimating

Estimate the product of the rational numbers

\frac{3}{4}

and

\frac{5}{8}

without performing the multiplication.

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Converting to a Percentage

Convert the rational number

\frac{3}{5}

to a percentage.

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Finding the Additive Inverse

What is the additive inverse of the rational number

\frac{2}{3}

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Finding the Multiplicative Inverse

Find the multiplicative inverse of the rational number

\frac{7}{5}

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Rational Numbers

Converting Regular to Scientific Notation

Arranging a List in Order

Expanded Notation

Prime or Composite

Comparing Expressions

Estimating

Converting to a Percentage

Finding the Additive Inverse

Finding the Multiplicative Inverse

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