1.1 Algebra

Rational + irrational Irrational + irrational

= irrational.

terminating decimal

A decimal number with a finite number of digits. The digits of a terminating decimal do not go on forever

when two fractions are multiplied the product can always be written as ________.

A fraction

fraction

A number that names a part of a whole or group, written in the form .

decimal

A number whose value is based on powers of 10.

repeating decimal

A number with a decimal pattern that endlessly repeats itself. A _______________ is a rational number. A bar over one or more digits means that those digits repeat.

real numbers

A set made up of all the numbers on the number line. Any ______________ is either a rational or irrational number.

Which of the following numbers is rational? A. 0.78 B. 0.303003000... C.square root 6 D. 0.3841697...

A. 0.78

When a rational number and an irrational number are multiplied, the product is always_______________.

An irrational number.

Integers

Any positive or negative number that is not a fraction or a decimal.

Which of the following numbers is irrational? A. 0.78 B. 0.303030... C. square root 9 D. 0.3841697...

D. 0.38416971

In the expression 4/5 + _____, what number would result in a rational sum? A. square root 5 B. - square root 3 C. 2.5 D. 3/2

D. 3/2 c. 2.5

irrational numbers:

Numbers that cannot be written in the form , where a and b are integers. _______________ cannot be written as terminating decimals or repeating decimals.

To change a fraction into a decimal, divide the ____________ by the ____________.

Numerator by the denominator.

When two rational numbers are multiplied the product is always _______________.

Rational

The real numbers are made up of _____________ and _____________ numbers.

Rational and irrational numbers.

Every fraction can be written as a _____________ decimal or a _____________ decimal.

Repeating terminating

rational numbers

The set of all numbers that can be written as a ratio of two integers, where the denominator is not zero. The ______________ are a subset of the real numbers.

Which of these numbers is a rational number? A. 3/4 B. pi C. -square root of 5 D. 6

a. 3/4 d. 6

Rational Numbers can be written in the form

a/b, where a and b are integers and b does not equal 0..

Which of these expressions would result in an irrational number? A. 12/5 + 6/8 B. - 3/7 x square root 5 C. pi + 3 D. 1/2 x 7/11

b. -3/7 x square root 5 c. pi + 3

Irrational Numbers do not

end or repeat.

When a whole number is not a perfect square, its square root is ___________

irrational

Mixed numbers, Integers, Repeating decimals, Fractions with integer numerator and non-zero integer denominator, and Terminating decimals are______________ _____________________

rational numbers.

The Irrational numbers are all?

real numbers that cannot be written as rational numbers.