Understand Positive and Negative Numbers - 6th Grade Math
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A diver is at $-15$ meters and rises to $-9$ meters. What is the change in elevation?
A diver is at $-15$ meters and rises to $-9$ meters. What is the change in elevation?
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$+6$ meters. Rising from $-15$ to $-9$ is an increase of $6$ meters.
$+6$ meters. Rising from $-15$ to $-9$ is an increase of $6$ meters.
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Find and correct the sign: “$-8$ meters above sea level” should be written as what integer?
Find and correct the sign: “$-8$ meters above sea level” should be written as what integer?
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$8$. Above sea level requires a positive sign.
$8$. Above sea level requires a positive sign.
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The temperature is $-6^\circ\text{C}$. How many degrees is it below $0^\circ\text{C}$?
The temperature is $-6^\circ\text{C}$. How many degrees is it below $0^\circ\text{C}$?
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$6^\circ\text{C}$ below $0^\circ\text{C}$. $-6$ means $6$ units below the zero reference.
$6^\circ\text{C}$ below $0^\circ\text{C}$. $-6$ means $6$ units below the zero reference.
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A bank account shows a credit of $\$40$. What integer represents this balance change?
A bank account shows a credit of $\$40$. What integer represents this balance change?
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$40$. Credits represent money added or deposited.
$40$. Credits represent money added or deposited.
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A bank account shows a debit of $\$25$. What integer represents this balance change?
A bank account shows a debit of $\$25$. What integer represents this balance change?
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$-25$. Debits represent money owed or withdrawn.
$-25$. Debits represent money owed or withdrawn.
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An elevator is at floor $-2$ and goes up to floor $0$. How many floors does it move?
An elevator is at floor $-2$ and goes up to floor $0$. How many floors does it move?
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$2$ floors. Count the floors between $-2$ and $0$: $-2, -1, 0$.
$2$ floors. Count the floors between $-2$ and $0$: $-2, -1, 0$.
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Identify the integer that represents $30$ meters below sea level: $30$, $-30$, or $0$.
Identify the integer that represents $30$ meters below sea level: $30$, $-30$, or $0$.
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$-30$. Below sea level is negative elevation.
$-30$. Below sea level is negative elevation.
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Identify the integer that represents $12$ meters above sea level: $12$, $-12$, or $0$.
Identify the integer that represents $12$ meters above sea level: $12$, $-12$, or $0$.
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$12$. Above sea level is positive elevation.
$12$. Above sea level is positive elevation.
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Identify the integer that represents $7$ degrees below $0$: $7$, $-7$, or $0$.
Identify the integer that represents $7$ degrees below $0$: $7$, $-7$, or $0$.
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$-7$. Below zero temperatures are negative.
$-7$. Below zero temperatures are negative.
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What does $0$ mean for electric charge when positive and negative charges are possible?
What does $0$ mean for electric charge when positive and negative charges are possible?
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$0$ means no net charge (neutral). Neutral objects have equal positive and negative charges.
$0$ means no net charge (neutral). Neutral objects have equal positive and negative charges.
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Which symbol should you write to show a value is above a reference point: $+$ or $-$?
Which symbol should you write to show a value is above a reference point: $+$ or $-$?
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$+$. The plus sign indicates values greater than the reference point.
$+$. The plus sign indicates values greater than the reference point.
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Which symbol should you write to show a value is below a reference point: $+$ or $-$?
Which symbol should you write to show a value is below a reference point: $+$ or $-$?
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$-$. The minus sign indicates values less than the reference point.
$-$. The minus sign indicates values less than the reference point.
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Which is greater: $-3$ or $-8$?
Which is greater: $-3$ or $-8$?
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$-3$. On a number line, $-3$ is to the right of $-8$.
$-3$. On a number line, $-3$ is to the right of $-8$.
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What does $0$ mean for elevation measured relative to sea level?
What does $0$ mean for elevation measured relative to sea level?
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$0$ means sea level (neither above nor below sea level). Sea level serves as the zero point for measuring elevation.
$0$ means sea level (neither above nor below sea level). Sea level serves as the zero point for measuring elevation.
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What does $0$ mean on a temperature scale measured above or below $0$?
What does $0$ mean on a temperature scale measured above or below $0$?
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$0$ means neither above nor below $0$; it is the reference point. Zero is the boundary between positive and negative temperatures.
$0$ means neither above nor below $0$; it is the reference point. Zero is the boundary between positive and negative temperatures.
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What does a negative number represent when describing a quantity with opposite directions?
What does a negative number represent when describing a quantity with opposite directions?
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A value in the opposite direction (below, loss, decrease). Negative numbers show movement or position opposite to the positive direction.
A value in the opposite direction (below, loss, decrease). Negative numbers show movement or position opposite to the positive direction.
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What does a positive number represent when describing a quantity with opposite directions?
What does a positive number represent when describing a quantity with opposite directions?
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A value in the chosen positive direction (above, gain, increase). Positive numbers show movement or position in the designated "up" or "forward" direction.
A value in the chosen positive direction (above, gain, increase). Positive numbers show movement or position in the designated "up" or "forward" direction.
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What is the opposite of $-9$ on a number line (same distance from $0$)?
What is the opposite of $-9$ on a number line (same distance from $0$)?
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$9$. Opposites are the same distance from zero but on opposite sides.
$9$. Opposites are the same distance from zero but on opposite sides.
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Which is greater: $4$ or $-2$?
Which is greater: $4$ or $-2$?
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$4$. Any positive number is greater than any negative number.
$4$. Any positive number is greater than any negative number.
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What does $0$ mean for money when positives are credits and negatives are debits?
What does $0$ mean for money when positives are credits and negatives are debits?
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$0$ means no net balance (neither credit nor debt). Zero balance means credits equal debits.
$0$ means no net balance (neither credit nor debt). Zero balance means credits equal debits.
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What does $0$ mean when electric charge is described as positive or negative?
What does $0$ mean when electric charge is described as positive or negative?
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$0$ means no net charge; it is electrically neutral. Neutral objects have equal positive and negative charges.
$0$ means no net charge; it is electrically neutral. Neutral objects have equal positive and negative charges.
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Which number represents $7$ degrees below zero on a temperature scale?
Which number represents $7$ degrees below zero on a temperature scale?
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$-7$. Below zero temperatures are represented by negative numbers.
$-7$. Below zero temperatures are represented by negative numbers.
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Which number represents $12$ meters above sea level?
Which number represents $12$ meters above sea level?
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$12$. Above sea level elevations are positive values.
$12$. Above sea level elevations are positive values.
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Which number represents $30$ meters below sea level?
Which number represents $30$ meters below sea level?
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$-30$. Below sea level elevations are negative values.
$-30$. Below sea level elevations are negative values.
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Which number represents a debt of $25$ dollars?
Which number represents a debt of $25$ dollars?
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$-25$. Debts are amounts owed, represented as negative values.
$-25$. Debts are amounts owed, represented as negative values.
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