Understand Absolute Value Concept - 6th Grade Math
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What is the depth magnitude if a diver is at $-18$ meters relative to sea level?
What is the depth magnitude if a diver is at $-18$ meters relative to sea level?
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$18$ meters. Depth magnitude is distance below surface level.
$18$ meters. Depth magnitude is distance below surface level.
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What is the magnitude of a debt of $-\$45$ using absolute value?
What is the magnitude of a debt of $-\$45$ using absolute value?
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$\$45$. Debt magnitude is the positive amount owed.
$\$45$. Debt magnitude is the positive amount owed.
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What is the value of $\left|\frac{5}{6}\right|$?
What is the value of $\left|\frac{5}{6}\right|$?
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$\frac{5}{6}$. Positive fractions remain unchanged by absolute value.
$\frac{5}{6}$. Positive fractions remain unchanged by absolute value.
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What does $|-12|$ represent if $-12$ is a temperature change in degrees?
What does $|-12|$ represent if $-12$ is a temperature change in degrees?
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A change of $12$ degrees (magnitude). Absolute value shows size of change, ignoring direction.
A change of $12$ degrees (magnitude). Absolute value shows size of change, ignoring direction.
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Identify all rational solutions to $|x|=\frac{1}{2}$.
Identify all rational solutions to $|x|=\frac{1}{2}$.
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$x=\frac{1}{2}$ or $x=-\frac{1}{2}$. Two numbers are $\frac{1}{2}$ units from zero.
$x=\frac{1}{2}$ or $x=-\frac{1}{2}$. Two numbers are $\frac{1}{2}$ units from zero.
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What is the distance from $0$ to $-9$ on the number line?
What is the distance from $0$ to $-9$ on the number line?
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$9$. Distance ignores direction, so $|-9| = 9$.
$9$. Distance ignores direction, so $|-9| = 9$.
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What is $|a|$ if $a$ is a negative rational number?
What is $|a|$ if $a$ is a negative rational number?
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$|a|=-a$. For negative $a$, absolute value equals its opposite.
$|a|=-a$. For negative $a$, absolute value equals its opposite.
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What is $|a|$ if $a$ is a nonnegative rational number?
What is $|a|$ if $a$ is a nonnegative rational number?
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$|a|=a$. Zero and positive numbers equal their absolute value.
$|a|=a$. Zero and positive numbers equal their absolute value.
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Identify the value of $x$ if $|x|=6$ and $x$ is negative.
Identify the value of $x$ if $|x|=6$ and $x$ is negative.
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$x=-6$. Only negative $x$ with distance $6$ from zero is $-6$.
$x=-6$. Only negative $x$ with distance $6$ from zero is $-6$.
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Which statement is always true for any rational number $x$: $|x|\ge 0$ or $|x|\le 0$?
Which statement is always true for any rational number $x$: $|x|\ge 0$ or $|x|\le 0$?
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$|x|\ge 0$. Distance is never negative, always zero or positive.
$|x|\ge 0$. Distance is never negative, always zero or positive.
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What is the value of $\left|\frac{-3}{4}\right|$?
What is the value of $\left|\frac{-3}{4}\right|$?
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$\frac{3}{4}$. Absolute value removes the negative sign from fractions.
$\frac{3}{4}$. Absolute value removes the negative sign from fractions.
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What is the value of $|-.5|$?
What is the value of $|-.5|$?
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$1.5$. Distance is always positive, so drop the negative sign.
$1.5$. Distance is always positive, so drop the negative sign.
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What is the value of $|0|$?
What is the value of $|0|$?
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$0$. Zero is zero units away from itself.
$0$. Zero is zero units away from itself.
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What is the value of $|-7|$?
What is the value of $|-7|$?
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$7$. Negative numbers become positive when finding distance from zero.
$7$. Negative numbers become positive when finding distance from zero.
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What is the value of $|7|$?
What is the value of $|7|$?
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$7$. Positive numbers are already their distance from zero.
$7$. Positive numbers are already their distance from zero.
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What does the absolute value $|x|$ represent on a number line?
What does the absolute value $|x|$ represent on a number line?
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The distance from $0$ to $x$. Absolute value measures how far a number is from zero.
The distance from $0$ to $x$. Absolute value measures how far a number is from zero.
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What is the value of $|-0.2|$?
What is the value of $|-0.2|$?
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$0.2$. Decimal distances are positive regardless of sign.
$0.2$. Decimal distances are positive regardless of sign.
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The temperature is $-8^\circ\text{C}$. What is the magnitude of the temperature relative to $0^\circ\text{C}$?
The temperature is $-8^\circ\text{C}$. What is the magnitude of the temperature relative to $0^\circ\text{C}$?
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$|-8|=8^\circ\text{C}$. Magnitude is the size without considering positive/negative.
$|-8|=8^\circ\text{C}$. Magnitude is the size without considering positive/negative.
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What does the absolute value $|r|$ represent on a number line for any rational number $r$?
What does the absolute value $|r|$ represent on a number line for any rational number $r$?
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The distance from $0$ to $r$ on the number line. Absolute value measures how far a number is from zero, regardless of direction.
The distance from $0$ to $r$ on the number line. Absolute value measures how far a number is from zero, regardless of direction.
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What is always true about the sign of an absolute value $|r|$ for any rational number $r$?
What is always true about the sign of an absolute value $|r|$ for any rational number $r$?
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$|r| \ge 0$ always. Distance is never negative, so absolute values are always non-negative.
$|r| \ge 0$ always. Distance is never negative, so absolute values are always non-negative.
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What is the absolute value $|-7|$?
What is the absolute value $|-7|$?
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$7$. Negative numbers lose their sign when taking absolute value.
$7$. Negative numbers lose their sign when taking absolute value.
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What is the absolute value $|7|$?
What is the absolute value $|7|$?
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$7$. Positive numbers remain unchanged when taking absolute value.
$7$. Positive numbers remain unchanged when taking absolute value.
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What is the absolute value $|0|$?
What is the absolute value $|0|$?
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$0$. Zero is at distance zero from itself on the number line.
$0$. Zero is at distance zero from itself on the number line.
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What is the absolute value $\left|-\frac{3}{4}\right|$?
What is the absolute value $\left|-\frac{3}{4}\right|$?
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$\frac{3}{4}$. Absolute value removes the negative sign from any number.
$\frac{3}{4}$. Absolute value removes the negative sign from any number.
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What is the absolute value $\left|\frac{5}{6}\right|$?
What is the absolute value $\left|\frac{5}{6}\right|$?
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$\frac{5}{6}$. Positive fractions stay the same when taking absolute value.
$\frac{5}{6}$. Positive fractions stay the same when taking absolute value.
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