Examples with solutions for The Number Line with Signed Numbers: Missing formula

Exercise #1

All negative numbers appear on the number line to the left of the number 0.

Video Solution

Step-by-Step Solution

If we draw a number line, we can see that to the right of zero are positive numbers, and to the left of zero are negative numbers:

-4-4-4555-3-3-3-2-2-2-1-1-1000111222333444

Therefore, the answer is correct.

Answer

True.

Exercise #2

Does the number 6 -6 appear on the number line to the right of number 2? 2\text{?}

Video Solution

Step-by-Step Solution

If we draw a number line, we can see that the number minus 6 is located to the left of the number 2:


-4-4-4555-3-3-3-2-2-2-1-1-1000111222333444-5-5-5-6-6-6Therefore, the answer is not correct.

Answer

No

Exercise #3

Every positive number is greater than zero

Step-by-Step Solution

The answer is indeed correct, any positive number to the right of zero is inevitably greater than zero.

Answer

True

Exercise #4

-2 < 0

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Video Solution

Step-by-Step Solution

Since every negative number is necessarily less than zero, the answer is indeed correct

Answer

True

Exercise #5

3.98 3.98 and +3.98 +3.98 are two ways of writing the same number.

Step-by-Step Solution

Indeed, both forms are identical since a number without a sign will be positive, as in the case of 3.98

If there is a plus sign before the number, the number is necessarily positive, as in the case of +3.98

Therefore, the answer is correct.

Answer

True

Exercise #6

4\frac{1}{2} < -5

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Video Solution

Step-by-Step Solution

The answer is incorrect because a negative number cannot be greater than a positive number:

4\frac{1}{2} > -5

Answer

Not true

Exercise #7

-4>-3

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Video Solution

Step-by-Step Solution

The answer is incorrect because neative 3 is greater than negative 4:

-4 < -3

Answer

Not true

Exercise #8

5 < -5

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Video Solution

Step-by-Step Solution

As per the fact that there cannot be a situation where a negative number is greater than a positive number, the answer is incorrect.

Answer

Not true

Exercise #9

The minus sign can be omitted

Step-by-Step Solution

The sign cannot be omitted as it determines whether the number will be negative or positive.

Answer

Not true

Exercise #10

-4>A

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Video Solution

Step-by-Step Solution

We begin by locating the numerical representation of the letter on the number line:

A=5 A=-5

We then compare the two numbers:

-4 > -5

It appears that the answer is indeed correct.

Answer

True

Exercise #11

-4 > A

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Step-by-Step Solution

We will begin by locating the letter A on the number line in order to ascertain its numerical value:

A=5 A=-5

We will then insert the given value into the expression:

-4 > -5

We can thus determine that the expression is correct.

Answer

True

Exercise #12

B > A

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Video Solution

Step-by-Step Solution

We begin by locating the numerical representation of the letter on the number line:

B=4 B=-4

A=5 A=-5

We then substitute the letters B and A with their numerical value :

-4 > -5

To conclude we can determine that the answer is indeed correct.

Answer

True

Exercise #13

B>A

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Step-by-Step Solution

We first locate the numerical representation of the letter on the number line:

B=4 B=-4

A=5 A=-5

We compare their two values:

-4 > -5

It appears that the answer is indeed correct.

Answer

True

Exercise #14

C > E

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Video Solution

Step-by-Step Solution

Let's begin by locating the numerical representation of the letter on the number line:

C=3 C=-3

E=1 E=-1

Now let's insert the given values in order to test the expression:

-3>-1

It appears that the answer is not correct.

Answer

Not true

Exercise #15

E < C

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Video Solution

Step-by-Step Solution

Let's begin by locating the numerical representation of the letters on the number line:

E=1 E=-1

C=3 C=-3

Now let's insert the numerical values of the letters in order to test the expression:

-1 < -3

It appears that the answer is not correct.

Answer

Not true

Exercise #16

K < A

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Video Solution

Step-by-Step Solution

We must first identify the numerical representation of the point on the number line:

K=5 K=5

A=5 A=-5

Now we compare the two numbers:

5 < -5

It appears that the answer is not correct.

Answer

Not true

Exercise #17

True or false?

C > E

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Video Solution

Step-by-Step Solution

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

C=3 C=-3

E=1 E=-1

Next, write out their numerical values as an inequality:

-3 > -1

Therefore, the statement is false.

Answer

False

Exercise #18

3=3 -3=-3

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Video Solution

Answer

True