Miki is trying to help her younger brother understand why is equal to 17. She draws a
number line to help. Explain how a number line could help to show that is equal to 17.
(1 point)
12 − (−5)
12 − (−5)
Starting at 12 on the number line, you must move 5 units in the
negative direction to get to 7.
Starting at on a number line, you must move 12 units in the
positive direction to get to 17.
−5
Starting at 12 on the number line, you must move 17 units in the
negative direction to get to −5 .
Starting at on the number line, you must move 17 units in
the positive direction to get to 12.
A number line can help to show that 12 - (-5) equals 17 because it visually represents the concept of adding and subtracting numbers.
On the number line, Miki can start at the number 12 and move 5 units in the negative direction to reach the number 7. This represents the subtraction of -5 from 12, resulting in the value of 7.
Alternatively, Miki can start at an arbitrary point on the number line and move 12 units in the positive direction to reach the number 17. This represents the addition of 12 to the starting point, resulting in the value of 17.
In both scenarios, the number line shows the process of subtracting or adding a specific number, which helps to demonstrate why 12 - (-5) is equal to 17.
A number line can help illustrate why is equal to 17 by visually showing the steps involved.
First, Miki starts at the number 12 on the number line. Then, she needs to subtract -5 from 12.
To demonstrate this, Miki can draw an arrow pointing to the left, indicating a move in the negative direction of the number line. By moving 5 units in the negative direction from 12, she arrives at the number 7. This represents the step 12 - (-5) = 7.
Next, Miki starts at an arbitrary point on the number line and needs to add 12 to reach 17.
To show this, she can draw an arrow pointing to the right, indicating a move in the positive direction of the number line. She will need to move 12 units in the positive direction from that starting point to reach 17. This represents the step x + 12 = 17, where x is the value of the starting point.
By comparing the steps, Miki can demonstrate that moving 12 units to the right or subtracting -5 units from 12 both result in the value of 17.
A number line can help to show that |-5| is equal to 17 because it allows us to visually represent the concept of positive and negative directions.
In this case, we want to find the absolute value of -5, which represents the distance from 0 to -5 on the number line.
To show that |-5| is equal to 17, we can follow these steps on the number line:
1. Start at 0. This represents the starting point for our calculation.
2. Move 5 units in the negative direction. Since we want to find the absolute value of -5, we need to move 5 units to the left on the number line. This brings us to -5.
3. Now, to illustrate that |-5| is equal to 17, we need to show that moving 17 units in the positive direction from -5 will bring us to the number 12.
4. Move 17 units in the positive direction. Starting at -5, we move 17 units to the right on the number line. This brings us to the number 12.
Therefore, by using a number line, Miki can help her younger brother understand that |-5| is equal to 17 by visually showing the steps taken to determine the value.