SS:Math7.3B,3A-Add and Subtract Rational Numbers

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

How do you add two negative rational numbers?

Back

To add two negative rational numbers, you add their absolute values and keep the negative sign. For example, -6.8 + -3.3 = -(6.8 + 3.3) = -10.1.

Front

What is the process to subtract a rational number from another?

Back

To subtract a rational number, you add its opposite. For example, to calculate 5 - 3, you can think of it as 5 + (-3).

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that result over the original denominator. For example, 2 3/4 = (2*4 + 3)/4 = 11/4.

Front

What is the sum of 2 3/4 and 5 5/8?

Back

The sum is 8 3/8. First, convert to improper fractions: 2 3/4 = 11/4 and 5 5/8 = 45/8. Then find a common denominator and add.

Front

What is the total change in temperature if it goes from -16°F to 12°F?

Back

The total change in temperature is 28°F. Calculate it as 12 - (-16) = 12 + 16 = 28.

Front

How do you find the decimal representation of a fraction?

Back

To find the decimal representation of a fraction, divide the numerator by the denominator. For example, 23/25 = 0.92.

Front

What is the difference between a positive and a negative rational number?

Back

A positive rational number is greater than zero, while a negative rational number is less than zero. They are on opposite sides of the number line.

Front

How do you simplify the expression 4 1/12 - 3 5/12?

Back

Convert to improper fractions: 4 1/12 = 49/12 and 3 5/12 = 41/12. Then subtract: 49/12 - 41/12 = 8/12 = 2/3.

Front

What does it mean for a number to be 'greater than zero'?

Back

A number is greater than zero if it is positive. For example, 3 is greater than zero, while -2 is not.