7th ACC Semester 1 Review

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What is the rule for simplifying expressions with exponents?

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When simplifying expressions with exponents, apply the laws of exponents: a^m * a^n = a^(m+n), (a^m)^n = a^(m*n), and a^m / a^n = a^(m-n). Always express the final answer with positive exponents.

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How do you evaluate an expression with negative numbers?

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To evaluate an expression with negative numbers, follow the order of operations (PEMDAS/BODMAS). For example, (-1) - (-3) is equivalent to (-1) + 3, which equals 2.

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What is scientific notation?

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Scientific notation is a way of expressing numbers as a product of a number between 1 and 10 and a power of 10. For example, 8.347 x 10^-2 is in scientific notation.

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How do you convert a number from scientific notation to standard notation?

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To convert from scientific notation to standard notation, multiply the number by 10 raised to the power indicated. For example, 3.69 x 10^2 = 369.

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What is the process for simplifying expressions with parentheses?

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To simplify expressions with parentheses, use the distributive property: a(b + c) = ab + ac. Then combine like terms.

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What does it mean to combine like terms?

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Combining like terms means to add or subtract terms that have the same variable raised to the same power. For example, 3x + 5x = 8x.

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The value is 2.

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How do you add numbers in scientific notation?

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To add numbers in scientific notation, first ensure they have the same exponent. If not, convert them to have the same exponent, then add the coefficients.

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