Math / Algebra

Question(c) $14m \div (-2m)=$

Studdy Solution

STEP 1

What is this asking? This is asking us to divide 14 $m$ by -2 $m$ . Watch out! Don't forget about the negative sign!
It's a tiny detail that can make a big difference.

STEP 2

1. Divide the Coefficient
2. Divide the Variable

STEP 3

Alright, let's divide the coefficient of 14 $m$ (which is 14) by the coefficient of -2 $m$ (which is -2).
Remember, the coefficient is the number in front of the variable.
So, we have: $\frac{14}{-2}$

STEP 4

Now, 14 divided by 2 is 7.
But, since we're dividing by a negative number, our result will be negative. $\frac{14}{-2} = -7$ So, our new coefficient is -7!

STEP 5

Now, let's look at the variables.
We have $m$ divided by $m$ . $\frac{m}{m}$

STEP 6

Anything divided by itself is 1!
Think of it like this: If you have one cookie and divide it by one cookie, you have one.
So: $\frac{m}{m} = 1$

STEP 7

Now, we multiply our coefficient result ( $-7$ ) by our variable result ( $1$ ): $(-7) \cdot 1 = -7$

STEP 8

So, 14 $m$ divided by -2 $m$ is $-7$ .

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Question(c) $14m \div (-2m)=$

Studdy Solution

STEP 1

What is this asking? This is asking us to divide 14 $m$ by -2 $m$ . Watch out! Don't forget about the negative sign!
It's a tiny detail that can make a big difference.

STEP 2

1. Divide the Coefficient
2. Divide the Variable

STEP 3

Alright, let's divide the coefficient of 14 $m$ (which is 14) by the coefficient of -2 $m$ (which is -2).
Remember, the coefficient is the number in front of the variable.
So, we have: $\frac{14}{-2}$

STEP 4

Now, 14 divided by 2 is 7.
But, since we're dividing by a negative number, our result will be negative. $\frac{14}{-2} = -7$ So, our new coefficient is -7!

STEP 5

Now, let's look at the variables.
We have $m$ divided by $m$ . $\frac{m}{m}$

STEP 6

Anything divided by itself is 1!
Think of it like this: If you have one cookie and divide it by one cookie, you have one.
So: $\frac{m}{m} = 1$

STEP 7

Now, we multiply our coefficient result ( $-7$ ) by our variable result ( $1$ ): $(-7) \cdot 1 = -7$

STEP 8

So, 14 $m$ divided by -2 $m$ is $-7$ .

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Question(c) 14m÷(−2m)=14m \div (-2m)=14m÷(−2m)=

Studdy Solution

STEP 1

What is this asking? This is asking us to divide 14mmm by -2mmm. Watch out! Don't forget about the negative sign!It's a tiny detail that can make a *big* difference.

STEP 2

1. Divide the Coefficient2. Divide the Variable

STEP 3

Alright, let's **divide** the **coefficient** of 14mmm (which is 14) by the **coefficient** of -2mmm (which is -2).Remember, the coefficient is the number in front of the variable.So, we have: 14−2 \frac{14}{-2} −214​

STEP 4

Now, 14 divided by 2 is 7.But, since we're dividing by a negative number, our result will be negative. 14−2=−7 \frac{14}{-2} = -7 −214​=−7 So, our **new coefficient** is **-7**!

STEP 5

Now, let's look at the **variables**.We have mmm divided by mmm. mm \frac{m}{m} mm​

STEP 6

Anything divided by itself is 1!Think of it like this: If you have one cookie and divide it by one cookie, you have one.So: mm=1 \frac{m}{m} = 1 mm​=1

STEP 7

Now, we **multiply** our **coefficient result** (−7-7−7) by our **variable result** (111): (−7)⋅1=−7 (-7) \cdot 1 = -7 (−7)⋅1=−7

STEP 8

So, 14mmm divided by -2mmm is −7-7−7.

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Question(c) $14m \div (-2m)=$

What is this asking? This is asking us to divide 14 $m$ by -2 $m$ . Watch out! Don't forget about the negative sign!
It's a tiny detail that can make a big difference.

1. Divide the Coefficient
2. Divide the Variable

Alright, let's divide the coefficient of 14 $m$ (which is 14) by the coefficient of -2 $m$ (which is -2).
Remember, the coefficient is the number in front of the variable.
So, we have: $\frac{14}{-2}$

Now, 14 divided by 2 is 7.
But, since we're dividing by a negative number, our result will be negative. $\frac{14}{-2} = -7$ So, our new coefficient is -7!

Now, let's look at the variables.
We have $m$ divided by $m$ . $\frac{m}{m}$

Anything divided by itself is 1!
Think of it like this: If you have one cookie and divide it by one cookie, you have one.
So: $\frac{m}{m} = 1$

Now, we multiply our coefficient result ( $-7$ ) by our variable result ( $1$ ): $(-7) \cdot 1 = -7$

So, 14 $m$ divided by -2 $m$ is $-7$ .