Chapter on Rational Numbers and Decimals

These flashcards cover key concepts regarding rational numbers, decimals, operations involving them, and fractions, based on the provided lecture notes.

What is a rational number?

A rational number is a number that can be written as a fraction or ratio.

What defines a terminating decimal?

A terminating decimal is a decimal that stops, such as 0.8 or 2.375.

What is a repeating decimal?

A repeating decimal is a number that has a repeating block of one or more digits, such as 0.333… or 0.4545… .

How do you convert -0.122 to a fraction?

-0.122 as a fraction in simplest form is -61/500.

What is the result of adding 0.8 and -0.3?

The result is 0.5.

What is 9.2 + (-2.8)?

The sum is 6.4.

What is the method for finding the distance between -5.5 and 4.5?

Distance is calculated by finding the absolute value of the difference: 4.5 - (-5.5) = 10.

If you have $101.62 and withdraw $45.41, how much is left?

You will have $56.21 left in your account.

What is the total gain or loss if a stock changes values as follows: +3.45, -12.90, -5.02, +29.31, -9.44?

The total is a gain of $5.40.

What fraction of a cake does your cousin pay for if you and your friend paid for parts of it?

Your cousin pays for 2/3 of the cake.

What is a rational number?

A rational number is a number that can be written as a fraction or ratio.

What defines a terminating decimal?

A terminating decimal is a decimal that stops, such as 0.8 or 2.375.

What is a repeating decimal?

A repeating decimal is a number that has a repeating block of one or more digits, such as 0.333… or 0.4545… .

How do you convert -0.122 to a fraction?

-0.122 as a fraction in simplest form is -61/500.

What is the result of adding 0.8 and -0.3?

The result is 0.5.

What is 9.2 + (-2.8)?

The sum is 6.4.

What is the method for finding the distance between -5.5 and 4.5?

Distance is calculated by finding the absolute value of the difference: 4.5 - (-5.5) = 10.

If you have $101.62 and withdraw $45.41, how much is left?

You will have $56.21 left in your account.

What is the total gain or loss if a stock changes values as follows: +3.45, -12.90, -5.02, +29.31, -9.44?

The total is a gain of $5.40.

What fraction of a cake does your cousin pay for if you and your friend paid for parts of it?

Your cousin pays for 2/3 of the cake.

What is 0.75 as a fraction in simplest form?

0.75 as a fraction in simplest form is 3/4.

Convert the fraction 2/5 into a decimal.

2/5 as a decimal is 0.4.

What is the absolute value of -7.3?

The absolute value of -7.3 is 7.3.

Add the values 1.5 and 2.1.

The result of adding 1.5 and 2.1 is 3.6.

If you spent $15.75 on lunch and had $50, how much money do you have left?

You will have $34.25 left.