help please!
@Vocaloid
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
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.
@Vocaloid
well, look at each of your answer choices... −1, 2 −2, 0 −2, 2 −1, 0 which answer choice adds up to 0?
i already got that one. its c
great
and the other one?
well, any thoughts?
in order to get back where he started, he has to run the same distance in both directions
c?
yup
@Vocaloid
hint: -10 - (-8) = -10 + 8 means we go 10 to the left, then 8 to the right
um, i land on 6
but theres no option for that answer.. @Vocaloid
try again... -10 + 8 = ?
-2
right, so our answer is..?
b?
@Vocaloid
yes
2+(-7), means that I have to shift to right by 2 units, then I have to go to left by 7 units
so A?
so we have to move of 7 units from 2, to left
yes! correct!
6+(-7) means 6 units from origin to right and 7 units from the point x=6 to left
so A?
no, since in A both displacements are to right
oh sorry i meant b
correct!
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
what is -30-16=...?
-46
ok! now, please neglect the minus sign, what do you get?
so it would be b because the value is always positive
yes!
)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.
at the step #2 the applied property is not the distributive property
is it b?
yes! we have applied the associative property
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
by the way, why you posted in history section?
oh i dont know sorry , ill change that after.. lol
lol :)
we have the subsequent rule: \[\Large \left( - \right) \cdot \left( - \right) = + \]
so we have: \[\Large \left\{ {\left( - \right) \cdot \left( - \right)} \right\} \cdot \left\{ {\left( - \right) \cdot \left( - \right)} \right\} = + \cdot + = + \]
b?
correct!
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: \[\Large \left( - \right) \cdot \left( - \right) = + \]
c?
yes!
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
so i do this : 21/4 * 15/2
no, the single results are correct, nevertheless we have to do this: \[ \Large - 5\frac{1}{4} - \left\{ { - 7\frac{1}{2}} \right\} = - \frac{{21}}{4} + \frac{{15}}{2} = \frac{{ - 21 + \left( {2 \cdot 15} \right)}}{4} = ...?\]
\[\large - 5\frac{1}{4} - \left\{ { - 7\frac{1}{2}} \right\} = - \frac{{21}}{4} + \frac{{15}}{2} = \frac{{ - 21 + \left( {2 \cdot 15} \right)}}{4} = ...?\]
i got 9/4
now, please complete this computation: \[\Large 2\frac{1}{4} = 2 + \frac{1}{4} = \frac{{\left( {2 \cdot 4} \right) + 1}}{4} = ...?\]
i got 9/4
then what is the right option?
A?
correct!
is 2 and 1/4 positive or negative?
@Michele_Laino
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