Unit 7 Study Guide

Which shows his data in order from least to greatest?

• 6, 1, 0, -2, -4

• 6, -4, -2, 1, 0

• -2, -4, 0, 1, 6

• -4, -2, 0, 1, 6

Answer explanation

To order the numbers from least to greatest, we start with the smallest value, -4, followed by -2, then 0, 1, and finally 6. Thus, the correct order is -4, -2, 0, 1, 6.

Which integer is represented by Point H on the number line?

• -7

• -3

• 3

• 7

Answer explanation

Point H on the number line is located at 7, which is the positive integer. The other options, -7, -3, and 3, do not represent the correct position of Point H.

Which of the following is a correct comparison?

• -128 > -115

• 94 = -94

• 85 < -97

• -167 < 104

Answer explanation

The correct comparison is -167 < 104. This is true because -167 is less than 104, while the other options are incorrect due to the properties of negative and positive numbers.

Which answer below represents – (–52)?

• 52

• 1/52

• -52

• 25

Answer explanation

The expression –(–52) simplifies to 52, as the double negative cancels out. Therefore, the correct answer is 52.

Rank the states in order from lowest to highest temperatures.

• Florida, Delaware, Minnesota, Wyoming

• Wyoming, Minnesota, Florida, Delaware

• Wyoming, Minnesota, Delaware, Florida

• Minnesota, Wyoming, Delaware, Florida

Answer explanation

Wyoming has the lowest average temperatures, followed by Minnesota. Florida is warmer than both, and Delaware typically has the highest temperatures among these states. Thus, the correct order is Wyoming, Minnesota, Florida, Delaware.

Which statement below is TRUE?

• -5 and 5 are opposites because they are the same distance from zero.

• -9 is greater than -3 because 9 is greater than 3.

• The opposite of 0 is -0.

• |-16| and -16 are equal.

Answer explanation

The statement "-5 and 5 are opposites because they are the same distance from zero" is true. Opposites are defined as numbers that are equidistant from zero on the number line.

According to each situation, which person has the greater debt?

• Annie owes her brother $4.25.

• Tammy earns $25 for babysitting.

• Jimmy's bank account balance is -$45.

Answer explanation

Jimmy has the greatest debt with a bank account balance of -$45, indicating he owes that amount. In comparison, Annie owes $4.25, and Melvin's spending does not indicate debt.

Which point is located closest to -7.8 on the number line below?

• N

• L

• M

• K

Answer explanation

Point N is closest to -7.8 on the number line, as it is the nearest value compared to points L, M, and K. Therefore, N is the correct answer.

Which list shows the given numbers in order from least to greatest? |-2|, -3, |-1|, -1, -|4|

• |-1|, -1, |-2|, -3, -|4|

• |-1|, |-2|, -|4|, -1, -3

• -|4|, -3, |-2|, |-1|, -1

• -|4|, -3, -1, |-1|, |-2|

Answer explanation

To order the numbers, first evaluate the absolute values: |-2|=2, |-1|=1, -|4|=-4. The values are -4, -3, -1, 1, 2. Thus, the correct order from least to greatest is -|4|, -3, -1, |-1|, |-2|.

Jane’s class gave examples of absolute value in distances traveled. Which example demonstrates the greatest distance traveled?

• Jim jumped on a trampoline to a height of 8.67 feet.

• Teresa rode an elevator to a depth of -10 feet.

• Brenan dove to a depth of -12.76 feet.

• Kailey hopped a length of 7.612 feet.

Answer explanation

Brenan dove to a depth of -12.76 feet, which has the greatest absolute value of distance traveled compared to the other examples. Absolute value measures distance regardless of direction.