Math / Numbers & Operations

Questionacting integers (continued) $(-18)+$ $\square$ $=-6$
OR $(-6)-(-18)=$ 四
A train went 30 km east from a station and then backtracked and

Studdy Solution

STEP 1

What is this asking? How much does the temperature need to increase to go from $-18$ °C to $-6$ °C? Watch out! Don't get tricked by the negative numbers!
We're looking for the difference in temperature, which is always positive.

STEP 2

1. Visualize the Thermometer
2. Calculate the Temperature Change

STEP 3

Imagine the thermometer!
We're starting at a chilly $-18$ °C.
Brrr! We want to warm things up to $-6$ °C, which is still cold, but definitely better!

STEP 4

We're moving up the thermometer, so the temperature is increasing.
Even though we're dealing with negative numbers, the change is positive!

STEP 5

We can find the change by subtracting the initial temperature from the final temperature.
So, we have $(-6) - (-18)$ .

STEP 6

Remember, subtracting a negative number is the same as adding its positive counterpart.
So, $(-6) - (-18)$ becomes $(-6) + 18$ .

STEP 7

Now, we have $(-6) + 18$ .
We can think of this as adding to zero.
We have $-6$ , so we need $6$ to get to zero.
That leaves us with $18 - 6 = 12$ .

STEP 8

So, $(-6) + 18 = 12$ .
The temperature increased by $\textbf{12}$ °C.

STEP 9

The temperature increased by $\textbf{12}$ °C.

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Questionacting integers (continued) $(-18)+$ $\square$ $=-6$
OR $(-6)-(-18)=$ 四
A train went 30 km east from a station and then backtracked and

Studdy Solution

STEP 1

What is this asking? How much does the temperature need to increase to go from $-18$ °C to $-6$ °C? Watch out! Don't get tricked by the negative numbers!
We're looking for the difference in temperature, which is always positive.

STEP 2

1. Visualize the Thermometer
2. Calculate the Temperature Change

STEP 3

Imagine the thermometer!
We're starting at a chilly $-18$ °C.
Brrr! We want to warm things up to $-6$ °C, which is still cold, but definitely better!

STEP 4

We're moving up the thermometer, so the temperature is increasing.
Even though we're dealing with negative numbers, the change is positive!

STEP 5

We can find the change by subtracting the initial temperature from the final temperature.
So, we have $(-6) - (-18)$ .

STEP 6

Remember, subtracting a negative number is the same as adding its positive counterpart.
So, $(-6) - (-18)$ becomes $(-6) + 18$ .

STEP 7

Now, we have $(-6) + 18$ .
We can think of this as adding to zero.
We have $-6$ , so we need $6$ to get to zero.
That leaves us with $18 - 6 = 12$ .

STEP 8

So, $(-6) + 18 = 12$ .
The temperature increased by $\textbf{12}$ °C.

STEP 9

The temperature increased by $\textbf{12}$ °C.

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Questionacting integers (continued) (−18)+(-18)+(−18)+ □\square□ =−6=-6=−6OR (−6)−(−18)=(-6)-(-18)=(−6)−(−18)= 四A train went 30 km east from a station and then backtracked and

Studdy Solution

STEP 1

What is this asking? How much does the temperature need to increase to go from −18-18−18°C to −6-6−6°C? Watch out! Don't get tricked by the negative numbers!We're looking for the *difference* in temperature, which is always positive.

STEP 2

1. Visualize the Thermometer2. Calculate the Temperature Change

STEP 3

Imagine the thermometer!We're starting at a chilly −18-18−18°C.Brrr! We want to warm things up to −6-6−6°C, which is still cold, but definitely better!

STEP 4

We're moving *up* the thermometer, so the temperature is *increasing*.Even though we're dealing with negative numbers, the change is positive!

STEP 5

We can find the change by subtracting the **initial temperature** from the **final temperature**.So, we have (−6)−(−18)(-6) - (-18)(−6)−(−18).

STEP 6

Remember, subtracting a negative number is the same as adding its positive counterpart.So, (−6)−(−18)(-6) - (-18)(−6)−(−18) becomes (−6)+18(-6) + 18(−6)+18.

STEP 7

Now, we have (−6)+18(-6) + 18(−6)+18.We can think of this as adding to zero.We have −6-6−6, so we need 666 to get to zero.That leaves us with 18−6=1218 - 6 = 1218−6=12.

STEP 8

So, (−6)+18=12(-6) + 18 = 12(−6)+18=12.The temperature increased by 12\textbf{12}12°C.

STEP 9

The temperature increased by 12\textbf{12}12°C.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Questionacting integers (continued) $(-18)+$ $\square$ $=-6$
OR $(-6)-(-18)=$ 四
A train went 30 km east from a station and then backtracked and

What is this asking? How much does the temperature need to increase to go from $-18$ °C to $-6$ °C? Watch out! Don't get tricked by the negative numbers!
We're looking for the difference in temperature, which is always positive.

1. Visualize the Thermometer
2. Calculate the Temperature Change

Imagine the thermometer!
We're starting at a chilly $-18$ °C.
Brrr! We want to warm things up to $-6$ °C, which is still cold, but definitely better!

We're moving up the thermometer, so the temperature is increasing.
Even though we're dealing with negative numbers, the change is positive!

We can find the change by subtracting the initial temperature from the final temperature.
So, we have $(-6) - (-18)$ .

Remember, subtracting a negative number is the same as adding its positive counterpart.
So, $(-6) - (-18)$ becomes $(-6) + 18$ .

Now, we have $(-6) + 18$ .
We can think of this as adding to zero.
We have $-6$ , so we need $6$ to get to zero.
That leaves us with $18 - 6 = 12$ .

So, $(-6) + 18 = 12$ .
The temperature increased by $\textbf{12}$ °C.

The temperature increased by $\textbf{12}$ °C.