Topic 1 Review

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What is a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats the same sequence of digits indefinitely. For example, 0.333... is a repeating decimal where '3' repeats.

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How do you convert a repeating decimal to a fraction?

Back

To convert a repeating decimal to a fraction, let x equal the decimal, multiply by a power of 10 to shift the decimal point, and then subtract the original equation from this new equation to eliminate the repeating part.

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What is the square root of a number?

Back

The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 16 is 4, since 4 x 4 = 16.

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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. Examples include 1/2, 3, and -4.

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What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction. For example, 2 1/2 is a mixed number.

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How do you simplify an expression?

Back

To simplify an expression, combine like terms, reduce fractions, and apply the order of operations to make the expression as concise as possible.

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What is scientific notation?

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Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is written as a product of a number between 1 and 10 and a power of 10.

Front

What is the area of a square?

Back

The area of a square is calculated by squaring the length of one of its sides. If the side length is s, then the area A = s^2.

Front

How do you determine if a number is rational?

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A number is rational if it can be expressed as a fraction of two integers. If the decimal representation terminates or repeats, it is rational.

Front

What is the relationship between exponents and multiplication?

Back

When multiplying numbers with the same base, you add the exponents. For example, a^m * a^n = a^(m+n).