Addition and Subtraction of Directed Numbers: Identify the greater value

$5+(-4)+(-2)\text{?}0$

Let's solve the equation:

$5+(-4)+(-2)=$

We'll locate the number 5 on the number line and move 4 steps to the left (since minus 4 is less than zero):

We've reached the number 1.

Now let's move two steps to the left (since minus 2 is less than zero):

We've reached the number minus 1.

Therefore, the solution to the equation is:

$5+(-4)+(-2)=-1$

So the appropriate sign will be:

-1<0

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$(-4)+2+(-3)\text{?}5$

Let's solve the equation:

$(-4)+2+(-3)=$

We'll locate minus 4 on the number line and move two steps to the right (since 2 is greater than zero):

We've reached the number minus 2.

Now let's move three steps to the left (since minus 3 is less than zero):

We've reached the number minus 5.

Therefore, the solution to the equation is:

$(-4)+2+(-3)=-5$

So the appropriate sign will be -5 < 5

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$(-6)+(-7)+13\text{?}0$

Let's solve the equation:

$(-6)+(-7)+13=$

We'll locate minus 6 on the number line and move 7 steps to the left (since minus 7 is less than zero):

We've reached the number minus 13.

Now we'll move 13 steps to the right (since 13 is greater than zero):

We've reached the number 0.

Therefore, the solution to the equation is:

$(-6)+(-7)+13=0$

So the appropriate sign will be:

$0=0$

$=$

$(-12)+(-2)+4\text{?}-15$

Let's solve the equation:

$(-12)+(-2)+4=$

We'll locate minus 12 on the axis and move two steps to the left (since minus 2 is less than zero):

We've reached the number minus 14.

Now let's move 4 steps to the right (since 4 is greater than zero):

We've reached the number minus 10.

Therefore, the solution to the equation is:

$(-12)+(-2)+4=-10$

So the appropriate sign will be:

-10>-15

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$(-3)+(-4)+(-7)\text{?}-15$

Let's solve the equation:

$(-3)+(-4)+(-7)=$

We'll locate minus 3 on the number line and move four steps to the left (since minus 4 is less than zero):

We've reached the number minus 7.

Now let's move seven steps to the left (since minus 7 is less than zero):

We've reached the number minus 13.

Therefore, the solution to the equation is:

$(-3)+(-4)+(-7)=-14$

So the appropriate sign will be:

-14>-15

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$15-(-5)+1?1$

Let's remember the law:

$-(-x)=+$

Now let's write the exercise in the appropriate form:

$15+(5)+1=$

Let's solve accordingly:

$20+1=21$

Since 21 is greater than 1, the appropriate sign is:

21 > 1

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$-3+(-3)+(-3)?3+3+3$

Let's remember the laws:

$-(-x)=+x$

$+(-x)=-x$

We'll solve the left side first.

Let's write the exercise in the appropriate form:

$-3-3-3=$

We'll solve the exercise from left to right:

$-3-3=-6$

$-6-3=-9$

Now let's solve the right side:

$3+3+3=$

$3+3=6$

$6+3=9$

Since the right side is larger, the appropriate sign will be:

-9 < 9

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$-5-5-5-5?5-15$

Let's recall the laws:

$-(-x)=+x$

$+(-x)=-x$

We'll solve the left side first:

$-5-5=-10$

$-10-5=-15$

$-15-5=-20$

Now let's solve the right side:

$5-15=-10$

Since the right side is larger, the appropriate sign will be:

-20 < -10

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$13-(-3)+(-4)?12-(-2)-2$

Let's solve the left side first.

Let's remember the laws:

$-(-x)=+x$

$+(-x)=-x$

Let's write the expression in the appropriate form:

$13+3-4=$

Let's solve the expression from left to right:

$13+3=16$

$16-4=12$

Now let's solve the right side, and use the laws we wrote down earlier.

Let's write the expression in the appropriate form:

$12+2-2=$

Let's solve the expression from left to right:

$12+2=14$

$14-2=12$

Since both sides are equal, the appropriate sign is:

$12=12$

$=$

$10-(-2)-3?4-(-4)$

Let's remember the laws:

$-(-x)=+x$

$+(-x)=-x$

We'll solve the left side first.

Let's write the expression in the appropriate form:

$10+2-3=$

We'll solve the expression from left to right:

$10+2=12$

$12-3=9$

Now let's solve the right side, using the laws we noted earlier.

We'll write the expression in the appropriate form and solve:

$4+4=8$

Since the left side is larger, the appropriate sign will be:

9 > 8

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$2+(-4)+(-4)\text{?}6$

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$-2-(-2)+3?4-(-2)$

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