4.7 Practical Problems with Integers

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but does not include fractions or decimals.

Front

How do you represent a loss in yards using integers?

Back

A loss in yards is represented by a negative integer. For example, losing 12 yards is represented as -12.

Tags

CCSS.6.NS.C.5

Front

What is the result of adding a positive integer and a negative integer?

Back

The result depends on the absolute values of the integers. If the positive integer is larger, the result is positive; if the negative integer is larger, the result is negative.

Tags

CCSS.7.NS.A.1C

Front

How do you calculate the total loss when multiple losses occur?

Back

To calculate total loss, add the negative integers together. For example, a loss of 12 yards and a loss of 5 yards is -12 + (-5) = -17 yards.

Tags

CCSS.7.NS.A.1C

Front

What expression represents earning money and paying off a debt?

Back

The expression combines positive and negative integers. For example, earning $25 and $82, but owing $115 is represented as 0 + 25 + 82 + (-115).

Tags

CCSS.7.NS.A.1C

Front

How do you find the average change in temperature?

Back

To find the average change, divide the total change by the number of hours. For example, a drop of 15 degrees over 5 hours is -15 / 5 = -3 degrees per hour.

Front

What does a negative depth indicate in a scuba diving scenario?

Back

A negative depth indicates that the diver is below the surface of the water. For example, -12 feet means the diver is 12 feet underwater.

Tags

CCSS.6.NS.C.5

Front

How do you calculate the total points after multiple wins and losses?

Back

Add the points won and subtract the points lost. For example, starting with 0 points, losing 8 points three times, winning 4 points, and losing 2 points results in -22 points.

Tags

CCSS.7.NS.A.3

Front

What is the significance of zero in integer operations?

Back

Zero is the integer that represents no value. It is the additive identity, meaning any integer plus zero equals the integer itself.

Front

How do you express a gain in yards using integers?

Back

A gain in yards is represented by a positive integer. For example, gaining 10 yards is represented as +10.

Tags

CCSS.6.NS.C.5