help please!

- anonymous

help please!

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- anonymous

@Vocaloid

- anonymous

Look at the following numbers:
−2, −1, 0, 2
Which pair of numbers has a sum of 0?
−1, 2
−2, 0
−2, 2
−1, 0

- anonymous

Which of the following describes a situation in which the total distance a soccer player travels is zero meters from his starting point?
The player runs 9 meters forward, and then runs 0 meters in the opposite direction.
The player runs 5 meters forward, and then runs 6 meters in the opposite direction.
The player runs 10 meters forward, and then runs 10 meters in the opposite direction.
The player runs 6 meters forward, and then runs 5 meters in the opposite direction.

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## More answers

- anonymous

@Vocaloid

- Vocaloid

well, look at each of your answer choices...
−1, 2
−2, 0
−2, 2
−1, 0
which answer choice adds up to 0?

- anonymous

i already got that one. its c

- Vocaloid

great

- anonymous

and the other one?

- Vocaloid

well, any thoughts?

- Vocaloid

in order to get back where he started, he has to run the same distance in both directions

- anonymous

c?

- Vocaloid

yup

- anonymous

@Vocaloid

##### 1 Attachment

- Vocaloid

hint:
-10 - (-8) = -10 + 8 means we go 10 to the left, then 8 to the right

- anonymous

um, i land on 6

- anonymous

but theres no option for that answer.. @Vocaloid

- Vocaloid

try again...
-10 + 8 = ?

- anonymous

-2

- Vocaloid

right, so our answer is..?

- anonymous

b?

- anonymous

@Vocaloid

- Vocaloid

yes

- anonymous

##### 1 Attachment

- Michele_Laino

2+(-7), means that I have to shift to right by 2 units, then I have to go to left by 7 units

- anonymous

so A?

- Michele_Laino

so we have to move of 7 units from 2, to left

- Michele_Laino

yes! correct!

- anonymous

##### 1 Attachment

- Michele_Laino

6+(-7) means 6 units from origin to right and 7 units from the point x=6 to left

- anonymous

so A?

- Michele_Laino

no, since in A both displacements are to right

- anonymous

oh sorry i meant b

- Michele_Laino

correct!

- anonymous

Which of the following uses absolute value correctly to show the distance between −30 and 16?
|−30 − 16| = |−46| = −46 units
|−30 − 16| = |−46| = 46 units
|−30 + 16| = |−14| = 14 units
|−30 + 16| = |−14| = −14 units

- Michele_Laino

what is -30-16=...?

- anonymous

-46

- Michele_Laino

ok! now, please neglect the minus sign, what do you get?

- anonymous

so it would be b because the value is always positive

- Michele_Laino

yes!

- anonymous

)Sandra is showing her work in simplifying (3.3 − 4.2) − 2.8 + 5.7. Identify any error in her work or reasoning.
Step 1: (3.3 − 4.2) − 2.8 + 5.7
Step 2: 3.3 + (− 4.2 − 2.8) + 5.7 (distributive property)
Step 3: 3.3 − 7 + 5.7
Step 4: 3.3 + 5.7 − 7 (commutative property)
Step 5: 9 − 7 = 2
She wrote commutative instead of associative in Step 4.
She wrote distributive instead of associative in Step 2.
She wrote commutative instead of distributive in Step 4.
She wrote distributive instead of commutative in Step 2.

- Michele_Laino

at the step #2 the applied property is not the distributive property

- anonymous

is it b?

- Michele_Laino

yes! we have applied the associative property

- anonymous

What is the sign of the product (−5)(−2)(−7)(−6)?
Positive, because the products (−5)(−2) and (−7)(−6) are negative and the product of two negative numbers is positive
Positive, because the products (−5)(−2) and (−7)(−6) are positive and the product of two positive numbers is positive
Negative, because the products (−5)(−2) and (−7)(−6) are negative and the product of two negative numbers is negative
Negative, because the products (−5)(−2) and (−7)(−6) are positive and the product of two positive numbers is negative

- Michele_Laino

by the way, why you posted in history section?

- anonymous

oh i dont know sorry , ill change that after.. lol

- Michele_Laino

lol :)

- Michele_Laino

we have the subsequent rule:
\[\Large \left( - \right) \cdot \left( - \right) = + \]

- Michele_Laino

so we have:
\[\Large \left\{ {\left( - \right) \cdot \left( - \right)} \right\} \cdot \left\{ {\left( - \right) \cdot \left( - \right)} \right\} = + \cdot + = + \]

- anonymous

b?

- Michele_Laino

correct!

- anonymous

##### 1 Attachment

- Michele_Laino

we can write this:
\[\Large \left( {\frac{{ - 1}}{2}} \right) \cdot \left( {\frac{{ - 1}}{2}} \right) = \left( { - \frac{1}{2}} \right) \cdot \left( { - \frac{1}{2}} \right) = ...?\]
also use the previous rule:
\[\Large \left( - \right) \cdot \left( - \right) = + \]

- anonymous

c?

- Michele_Laino

yes!

- anonymous

##### 1 Attachment

- Michele_Laino

we can write this:
\[\Large \begin{gathered}
- 5\frac{1}{4} = - \left( {5 + \frac{1}{4}} \right) = - \frac{{20 + 1}}{4} = ...? \hfill \\
\hfill \\
- 7\frac{1}{2} = - \left( {7 + \frac{1}{2}} \right) = - \frac{{14 + 1}}{2} = ...? \hfill \\
\end{gathered} \]
please complete

- anonymous

so i do this :
21/4 * 15/2

- Michele_Laino

no, the single results are correct, nevertheless we have to do this:
\[ \Large - 5\frac{1}{4} - \left\{ { - 7\frac{1}{2}} \right\} = - \frac{{21}}{4} + \frac{{15}}{2} = \frac{{ - 21 + \left( {2 \cdot 15} \right)}}{4} = ...?\]

- Michele_Laino

\[\large - 5\frac{1}{4} - \left\{ { - 7\frac{1}{2}} \right\} = - \frac{{21}}{4} + \frac{{15}}{2} = \frac{{ - 21 + \left( {2 \cdot 15} \right)}}{4} = ...?\]

- anonymous

i got 9/4

- Michele_Laino

now, please complete this computation:
\[\Large 2\frac{1}{4} = 2 + \frac{1}{4} = \frac{{\left( {2 \cdot 4} \right) + 1}}{4} = ...?\]

- anonymous

i got 9/4

- Michele_Laino

then what is the right option?

- anonymous

A?

- Michele_Laino

correct!

- anonymous

is 2 and 1/4 positive or negative?

- anonymous

@Michele_Laino

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