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

Exercise #1

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 #2

-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 #3

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 #4

-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 #5

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 #6

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 #7

The sign is always written to the left of the number.

Step-by-Step Solution

In mathematics, numbers are categorized as either positive or negative, and this is denoted using a sign. For example, positive numbers might include a "+" sign on the left (though it's often omitted), such as +3 +3 or simply 3 3 , whereas negative numbers require a "-" sign, such as 3 -3 .

The placement of the sign is crucial for properly understanding the value and meaning of the number. The sign is always placed to the left of the number when it comes to expressing signed numbers on the number line, or anywhere formally outside of a context where postfix notation is specifically used (e.g., for programming or algorithmic purposes).

Therefore, the provided statement "The sign is always written to the left of the number" is indeed True.

Answer

True

Exercise #8

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 #9

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 #10

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 #11

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 #12

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 #13

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 #14

-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 #15

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 #16

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 #17

-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 #18

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 #19

3=3 -3=-3

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Video Solution

Answer

True