Pre-Algebra Chapter 4 Review

Front

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.

Front

Which of the following is not a rational number: -\frac{1}{20}, 30.30, 20.5, \sqrt{42}?

Back

\sqrt{42} is not a rational number because it cannot be expressed as a fraction of two integers.

Front

What is the exponent rule for multiplying powers with the same base?

Back

When multiplying powers with the same base, add the exponents: a^m * a^n = a^{m+n}.

Front

Evaluate the expression (-9)(-9)(-9)(-9)(-9)(-9). What is the equivalent expression?

Back

The equivalent expression is (-9)^6.

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers as a product of a number between 1 and 10 and a power of 10.

Front

Evaluate (7.3 \times 10^3)(1.86 \times 10^{-2}) and express the result in scientific notation.

Back

The result is 1.3578 \times 10^2.

Front

How do you divide numbers in scientific notation?

Back

To divide numbers in scientific notation, divide the coefficients and subtract the exponents: (a \times 10^m) / (b \times 10^n) = (a/b) \times 10^{m-n}.

Front

What is the product of (6.9 \times 10^{-3})(1.5 \times 10^{-2})?

Back

The product is 1.035 \times 10^{-4}.

Front

What is the rule for multiplying powers with the same base?

Back

When multiplying powers with the same base, multiply the coefficients and add the exponents.

Front

If the diameter of asteroid A is 10^{-1} km and asteroid B is 10^{4} km, how many times greater is B than A?

Back

Asteroid B is 10^5 times greater than asteroid A.