Subtracting Integers & Rational Numbers

Front

What is the result of subtracting a negative number from a negative number?

Back

When you subtract a negative number, it is equivalent to adding its positive counterpart. For example, -22 - (-9) = -22 + 9 = -13.

Front

How do you find the difference in depths when comparing two negative values?

Back

To find the difference in depths, subtract the lesser depth from the greater depth. For example, if Marie is at -15 feet and Nancy is at -22 feet, the difference is |-15 - (-22)| = |-15 + 22| = 7 feet.

Front

What is the elevation after descending and then ascending in a negative context?

Back

To find the new elevation, add the ascent to the initial depth and then subtract any further descent. For example, starting at -1500 feet, rising 525 feet, and then descending 350 feet results in: -1500 + 525 - 350 = -1325 feet.

Front

Define an integer.

Back

An integer is a whole number that can be positive, negative, or zero. Examples include -3, 0, and 5.

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. Examples include 1/2, -3, and 0.75.

Front

Explain the concept of absolute value.

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, | -5 | = 5 and | 5 | = 5.

Front

What does it mean to subtract integers?

Back

Subtracting integers involves finding the difference between two whole numbers. If subtracting a larger integer from a smaller one, the result will be negative.

Front

How do you represent a depth below sea level in mathematical terms?

Back

Depth below sea level is represented as a negative integer. For example, a depth of 15 feet below sea level is represented as -15.

Front

What is the rule for subtracting two negative numbers?

Back

When subtracting two negative numbers, the result is found by adding their absolute values. For example, -5 - (-3) = -5 + 3 = -2.

Front

How do you calculate the difference between two rational numbers?

Back

To calculate the difference between two rational numbers, convert them to a common denominator if necessary, then subtract the numerators.