Rational Numbers Unit Review

Mathematics flashcards covering rational number operations, absolute value, additive inverses, and real-world problem-solving based on the unit review.

Absolute Value of $-2$

Represented as $|-2|$, the distance from zero is $2$.

Additive Inverse

The number that, when added to a given number, yields zero; for example, showing $-4$ plus its additive inverse on a number line.

Repeating Decimal

A decimal that has a digit or a block of digits that repeats infinitely, such as $\frac{2}{3}$ which is equivalent to $0.\bar{6}$.

Equivalent Expression (Additive Inverse Property)

The process of rewriting subtraction as adding the opposite, such as rewriting $-17 - 25$ as $-17 + (-25)$. balance of zero.

Metal Flashing Calculation (Michael)

To find the remaining amount needed for a $6\frac{1}{2}$ foot project with pieces measuring $3\frac{1}{8}$ feet and $1\frac{3}{4}$ feet, Michael needs to purchase $1\frac{5}{8}$ feet.

Total Change in Weight (Callie's cat)

The net result of a loss of $4\frac{1}{2}$ pounds followed by a gain of $2\frac{7}{8}$ pounds, which equals $-1\frac{5}{8}$ pounds.

Fundraiser Allocation

The amount each of $4$ fundraisers must raise to cover an outstanding balance of $\text{\$842.36}$ after a $\text{\$300.00}$ donation, which equals $\text{\$135.59}$ per fundraiser.

Joy's Remaining Pages

For a $352$-page novel where Joy reads $\frac{3}{8}$ on Monday, $28$ pages on Tuesday, and $\frac{1}{4}$ on Wednesday, she has $104$ pages remaining.

Laney's Total Walking Distance

The total distance walked in $5$ days of school if Laney only walks the $2\frac{1}{3}$ mile trip to school one way, totaling $11\frac{2}{3}$ miles.

Savings Account Impact (Felix)

The total decrease in a savings account over one year due to a monthly cell phone bill of $\text{\$46.80}$, which equals $-\text{\$561.60}$.

Art Supply Budget

The remaining funds from a $\text{\$180}$ budget after buying $45$ bags of chips at $\text{\$0.55}$ each and $45$ juice boxes at $\text{\$0.80}$ each, which is $\text{\$119.25}$.

Temperature of the Solution

The final reading after a solution starts at $-12.4^\circ\text{C}$, rises $5.7^\circ\text{C}$, and drops $8.1^\circ\text{C}$ over four hours, resulting in $-14.8^\circ\text{C}$.