Examples with solutions for The Number Line with Signed Numbers: Identify the greater value

Exercise #1

Fill in the corresponding sign

+3?0 +3?0

Video Solution

Step-by-Step Solution

Since the number 3 comes after the number 0, it is necessarily greater:

3 > 0

Answer

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Exercise #2

Fill in the corresponding sign

17?+17 17?+17

Video Solution

Step-by-Step Solution

Since both numbers are positive and identical, they are equal to each other:

17=+17 17=+17

Answer

= =

Exercise #3

Fill in the corresponding sign

25?5 25?-5

Video Solution

Step-by-Step Solution

Due to the fact that the number minus 5 is a negative number and that the number 25 is a positive number, 25 is indubitably greater:

25 > -5

Answer

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Exercise #4

Fill in the corresponding sign

E?H E?H

AAAKKK-5-5-5BBB-4-4-4CCC-3-3-3DDD-2-2-2EEE-1-1-1FFF000GGG111HHH222III333JJJ444555

Step-by-Step Solution

Let's locate the number that represents the letter on the number line:

E=1 E=-1

H=2 H=2

We should note that 2 is a positive number, and minus 1 is a negative number, therefore:

-1 < 2

Answer

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Exercise #5

Fill in the missing sign:

C?1 C?1

AAAKKK-5-5-5BBB-4-4-4CCC-3-3-3DDD-2-2-2EEE-1-1-1FFF000GGG111HHH222III333JJJ444555

Video Solution

Step-by-Step Solution

Let's locate the letter on the number line and see which number it represents:

C=3 C=-3

Since the number 1 is positive and the number minus 3 is negative, we can write the following:

-3 < 1

Therefore, the answer is (b).

Answer

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Exercise #6

Fill in the corresponding sign

E?1 E?-1

AAAKKK-5-5-5BBB-4-4-4CCC-3-3-3DDD-2-2-2EEE-1-1-1FFF000GGG111HHH222III333JJJ444555

Video Solution

Step-by-Step Solution

Let's locate the letter on the number line and see which number represents it:

E=1 E=-1

We can see that it's the same number, therefore:

1=1 -1=-1

Answer

= =

Exercise #7

Fill in the missing sign (?):

D?H D?H

AAAKKK-5-5-5BBB-4-4-4CCC-3-3-3DDD-2-2-2EEE-1-1-1FFF000GGG111HHH222III333JJJ444555

Video Solution

Step-by-Step Solution

First we will locate the letters on the number line to see which numbers they represent:

D=2 D=-2

H=2 H=2

Since the number 2 is positive and the number minus 2 is negative, we can write the following:

-2<2

Therefore, the answer is (b).

Answer

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Exercise #8

Fill in the corresponding sign

0?D 0?D

AAAKKK-5-5-5BBB-4-4-4CCC-3-3-3DDD-2-2-2EEE-1-1-1FFF000GGG111HHH222III333JJJ444555

Video Solution

Step-by-Step Solution

Let's locate the letter on the number line and see which number represents it:

D=2 D=-2

Since the number negative 2 is negative, it must be less than zero, therefore:

0 > -2

Answer

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Exercise #9

Fill in the corresponding sign

J?4 J?4

AAAKKK-5-5-5BBB-4-4-4CCC-3-3-3DDD-2-2-2EEE-1-1-1FFF000GGG111HHH222III333JJJ444555

Video Solution

Step-by-Step Solution

Let's locate the letter on the number line and see which number represents it:

J=4 J=4

We should note that it's the same number, therefore:

4=4 4=4

Answer

= =

Exercise #10

Fill in the missing sign (?):

A?K A?K

AAAKKK-5-5-5BBB-4-4-4CCC-3-3-3DDD-2-2-2EEE-1-1-1FFF000GGG111HHH222III333JJJ444555

Video Solution

Step-by-Step Solution

First we will locate the letters on the number line and see which numbers they represent:

A=5 A=-5

K=5 K=5

Since the number 5 is positive and the number minus 5 is negative, we can write the following:

-5<5

Answer

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Exercise #11

Fill in the missing sign (?):

I?C I?C

AAAKKK-5-5-5BBB-4-4-4CCC-3-3-3DDD-2-2-2EEE-1-1-1FFF000GGG111HHH222III333JJJ444555

Video Solution

Step-by-Step Solution

First let's locate the letters on the number line to see which numbers they represent:

I=3 I=3

C=3 C=-3

Since the number 3 is positive and the number -3 is negative, we can write them as follows:

3 > -3

Answer

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Exercise #12

Fill in the corresponding sign

F?5 F?-5

AAAKKK-5-5-5BBB-4-4-4CCC-3-3-3DDD-2-2-2EEE-1-1-1FFF000GGG111HHH222III333JJJ444555

Video Solution

Step-by-Step Solution

Let's locate the letter on the number line and see which number represents it:

F=0 F=0

Since the number negative 5 is negative, it must be less than zero, and therefore:

0 > -5

Answer

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Exercise #13

Fill in the missing sign (?):

B?G B?G

AAAKKK-5-5-5BBB-4-4-4CCC-3-3-3DDD-2-2-2EEE-1-1-1FFF000GGG111HHH222III333JJJ444555

Video Solution

Step-by-Step Solution

Let's locate the letters on the number line and see which numbers they represent:

B=4 B=-4

G=1 G=1

Since the number 1 is positive and the number minus 4 is negative:

-4<1

Answer

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Exercise #14

Fill in the missing sign (?):

E?H E?H

AAAKKK-5-5-5BBB-4-4-4CCC-3-3-3DDD-2-2-2EEE-1-1-1FFF000GGG111HHH222III333JJJ444555

Video Solution

Step-by-Step Solution

First, we need to locate the letters on the number line and determine which numbers they represent:

E=1 E=-1

H=2 H=2

Since the number 2 is positive and the number minus 1 is negative, the missing sign is as follows:

-1<2

Answer

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Exercise #15

Fill in the missing sign (?):

C?1 C?1

AAAKKK-5-5-5BBB-4-4-4CCC-3-3-3DDD-2-2-2EEE-1-1-1FFF000GGG111HHH222III333JJJ444555

Video Solution

Step-by-Step Solution

First, locate the letter on the number line and see which number it represents:

C=3 C=-3

After locating the numbers, we can determine:

-3<1

Answer

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Exercise #16

Fill in the corresponding sign

12?14 -\frac{1}{2}?-\frac{1}{4}

Video Solution

Step-by-Step Solution

Let's place the numbers on the number line.

We will use whole numbers as reference points.

That is, both fractions are located between the numbers 0 and 1:

-1-1-1000

Since negative one-quarter is closer to zero, it is greater, therefore:

-\frac{1}{2} < -\frac{1}{4}

Answer

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Exercise #17

Fill in the corresponding sign

0?3.9 0?-3.9

Video Solution

Step-by-Step Solution

Since the number -3.9 is further from zero, it must be smaller, therefore:

0 > -3.9

Answer

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Exercise #18

Fill in the corresponding sign

4?3.5 -4?-3.5

Video Solution

Step-by-Step Solution

Let's place the two numbers on the number line and observe which one is closer to zero:

-4-4-4-3.5-3.5-3.5-3-3-3-2.5-2.5-2.5000-2-2-2-1.5-1.5-1.5-1-1-1-0.5-0.5-0.5

Since the number -3.5 is closer to zero, it is greater:

-4 < -3.5

Answer

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Exercise #19

Choose the largest value.

AAA-3-3-3BBB-2-2-2CCC-1-1-1DDD000EEE111FFF222GGG333HHH444III555JJJ666KKK777LLL888MMM999

Video Solution

Step-by-Step Solution

First look at the number line and locate each letter:

B+F=2+2=0 B+F=-2+2=0

AC=3(1) A-C=-3-(-1)

L=8 L=8

JG=63=3 J-G=6-3=3

Then solve the remaining exercises while remembering the rule:

(x)=+x -(-x)=+x

Therefore:

AC=3(1)=3+1=2 A-C=-3-(-1)=-3+1=-2

L is the largest.

Answer

L L

Exercise #20

Choose the expression that represents the largest value.


AAA-4-4-4BBB-3-3-3CCC-2-2-2DDD-1-1-1EEE000FFF111GGG222HHH333III444JJJ555KKK666LLL777

Video Solution

Step-by-Step Solution

First, let's look at the number line and locate each letter:

A+L=4+7=3 A+L=-4+7=3

GE=20=2 G-E=2-0=2

H+C=3+(2) H+C=3+(-2)

BD=3(1) B-D=-3-(-1)

Then let's solve the remaining exercises remembering the rules:

+(x)=x +(-x)=-x

(x)=+x -(-x)=+x

Therefore:

H+C=3+(2)=32=1 H+C=3+(-2)=3-2=1

BD=3(1)=3+1=2 B-D=-3-(-1)=-3+1=-2

A+L is the largest value.

Answer

A+L A+L