Testinar Grade 6 math

Understanding Positive and Negative Numbers

Students will build Grade 6 mastery of understanding positive and negative numbers using models, equations, and test-style reasoning.

CH02-06 The Number System

Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

Which situation is best represented by the integer $-8$?
1. A temperature rise of 8°F
2. A bank deposit of $$8$
3. A debt of $$8$
4. An elevation $8$ feet above sea level
A thermometer shows the temperature is -12°C. Which sentence best describes this situation?
1. The temperature is 12°C above zero
2. The temperature is exactly zero
3. The temperature rose by 12°C
4. The temperature is 12°C below zero
Which number line correctly shows the position of $-5$? What is the correct location of $-5$ on the number line above?
1. Between $-6$ and $-4$, closer to $-4$
2. At the fifth tick mark to the right of zero
3. At the fifth tick mark to the left of zero
4. Exactly at zero
A scuba diver descends $25$ meters below sea level. Which integer represents this situation?
1. $25$
2. $-25$
3. $-50$
4. $50$
The opposite of $7$ is $-7$. Which pair of integers are opposites?
1. $3$ and $-3$
2. $-5$ and $-5$
3. $2$ and $-8$
4. $0$ and $1$
A football team loses $15$ yards on a play. How should this be represented as an integer?
1. $15$
2. $-15$
3. $\frac{15}{2}$
4. $0$
Which statement correctly compares the two integers $-6$ and $-3$?
1. $-6 > -3$
2. $-6 = -3$
3. $-6 < -3$
4. $-6$ and $-3$ are opposites
Which list of integers is in order from least to greatest?
1. $-4, -1, 0, 2$
2. $2, 0, -1, -4$
3. $-1, -4, 0, 2$
4. $0, -1, -4, 2$

Teacher and parent reference

Answer key and explanations

C. A debt of $$8$
Negative integers represent values less than zero. A debt of $$8$ means owing money, which is represented by $-8$.
D. The temperature is 12°C below zero
A negative number means the value is below zero. Since the temperature is -12°C, it is $12$ degrees below zero.
C. At the fifth tick mark to the left of zero
On a number line, negative numbers are to the left of zero. $-5$ is located five units to the left of zero.
B. $-25$
Below sea level is represented by a negative integer. A depth of $25$ meters below sea level is $-25$ meters.
A. $3$ and $-3$
Opposites are two numbers that are the same distance from zero but on opposite sides of zero. $3$ is $3$ units right of zero, and $-3$ is $3$ units left of zero.
B. $-15$
A loss is a negative change. Losing $15$ yards means the team moved $15$ yards backward, represented by the integer $-15$.
C. $-6 < -3$
On a number line, $-6$ is to the left of $-3$, so $-6$ is less than $-3$. The farther left a number is, the smaller it is.
A. $-4, -1, 0, 2$
To order integers from least to greatest, place the most negative number first, then move toward zero and positive numbers. The order is $-4 < -1 < 0 < 2$.