QuestionFind the distance between 6 and -3 on a number line. Use the formula $|6 - (-3)|$ .

Studdy Solution

STEP 1

Assumptions1. The number line is a straight line where each point corresponds to a real number. . The distance between two points on a number line is the absolute difference between the two numbers.

STEP 2

To find the distance between two points on a number line, we subtract the smaller number from the larger number.
$Distance = Larger\, number - Smaller\, number$

STEP 3

In this case, the two numbers are6 and -3. Since6 is larger than -3, we subtract -3 from6.
$Distance =6 - (-3)$

STEP 4

Subtracting a negative number is the same as adding its absolute value. So, we add3 to6.
$Distance =6 +3$

STEP 5

Calculate the distance.
$Distance = +3 =9$ The distance between and -3 on the number line is9.

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QuestionFind the distance between 6 and -3 on a number line. Use the formula $|6 - (-3)|$ .

Studdy Solution

STEP 1

Assumptions1. The number line is a straight line where each point corresponds to a real number. . The distance between two points on a number line is the absolute difference between the two numbers.

STEP 2

To find the distance between two points on a number line, we subtract the smaller number from the larger number.
$Distance = Larger\, number - Smaller\, number$

STEP 3

In this case, the two numbers are6 and -3. Since6 is larger than -3, we subtract -3 from6.
$Distance =6 - (-3)$

STEP 4

Subtracting a negative number is the same as adding its absolute value. So, we add3 to6.
$Distance =6 +3$

STEP 5

Calculate the distance.
$Distance = +3 =9$ The distance between and -3 on the number line is9.

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QuestionFind the distance between 6 and -3 on a number line. Use the formula ∣6−(−3)∣|6 - (-3)|∣6−(−3)∣.

Studdy Solution

STEP 1

Assumptions1. The number line is a straight line where each point corresponds to a real number. . The distance between two points on a number line is the absolute difference between the two numbers.

STEP 2

To find the distance between two points on a number line, we subtract the smaller number from the larger number.Distance=Larger number−Smaller numberDistance = Larger\, number - Smaller\, numberDistance=Largernumber−Smallernumber

STEP 3

In this case, the two numbers are6 and -3. Since6 is larger than -3, we subtract -3 from6.Distance=6−(−3)Distance =6 - (-3)Distance=6−(−3)

STEP 4

Subtracting a negative number is the same as adding its absolute value. So, we add3 to6.Distance=6+3Distance =6 +3Distance=6+3

STEP 5

Calculate the distance.Distance=+3=9Distance = +3 =9Distance=+3=9The distance between and -3 on the number line is9.

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QuestionFind the distance between 6 and -3 on a number line. Use the formula $|6 - (-3)|$ .

To find the distance between two points on a number line, we subtract the smaller number from the larger number.
$Distance = Larger\, number - Smaller\, number$

In this case, the two numbers are6 and -3. Since6 is larger than -3, we subtract -3 from6.
$Distance =6 - (-3)$

Subtracting a negative number is the same as adding its absolute value. So, we add3 to6.
$Distance =6 +3$

Calculate the distance.
$Distance = +3 =9$ The distance between and -3 on the number line is9.