Negative numbers are numbers to the left of 0 on the number line.

We write a negative number as a number with a - sign in front of it.

To find the number, we count the number of jumps between zero and the point on the line.

For example, to represent -3 on a number line, we start at zero and move 3 places to the left:

So the red dot on the number line above represents the number -3.

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What number is represented by the red dot on the number line below?

EXPLANATION

The number is negative because it is to the left of zero.

To find the number, we count the number of jumps between zero and the red circle.

There is 1 jump between zero and the red circle. So the number shown is -1.

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What number is represented by the red dot on the number line above?

a
$-2$
b
$2$
c
$1$
d
$-3$
e
$-1$

What number is represented by the red dot on the number line above?

a
$-1.5$
b
$-0.5$
c
$-1$
d
$-2.5$
e
$-2$

Represent the number -6 on a number line.

EXPLANATION

The number -6 is negative, so it is to the left of zero.

To plot the number -6, we start at zero and move 6 places to the left.

So the red dot on the number line below represents the number -6\mathbin{:}

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Which number line shows the number $-4?$

a
b
c
d
e

Which number line shows the number $-5.5?$

a
b
c
d
e

Sometimes, each jump on the number line can represent a distance greater than 1. For example, what number is represented by the red dot on the number line below?

To find the number, we count the number of jumps between zero and the red circle.

There are 3 jumps between zero and the red circle, and each jump represents a distance of 4. So the number shown is -12.

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What number is represented by the red dot on the number line below?

EXPLANATION

The number is negative because it is to the left of zero.

To find the number, we count the number of jumps between zero and the red circle.

There are 2 jumps between zero and the red circle, and each jump represents a distance of 3. So the number shown is -6.

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The number represented by the red dot on the number line above is

a
b
c
d
e

The number represented by the red dot on the number line above is

a
b
c
d
e

From left to right, what are the missing numbers in the number line below?

EXPLANATION

The first number is negative because it is to the left of zero. To find this number, we count the number of jumps between zero and the number.

Each jump represents a distance of 5, and we have 3 jumps. Therefore, this number \color{blue}{-15}.

The second number is also negative because it is to the left of zero. To find this number, we count the number of jumps between zero and the number.

Each jump represents a distance of 5, and we have 1 jump. Therefore, this number \color{red}{-5}.

Therefore, the numbers are -15 and -5.

FLAG

From left to right, the missing numbers in the number line above are

a
b
c
d
e

From left to right, the missing numbers in the number line above are

a
b
c
d
e
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