Question 1

Multiply.
--10 ·(-9)·5 ·(-13)

Accepted Answer

When multiplying an even number of negative numbers, the result is positive. Here, there are two negative numbers, so the result is positive. However, the multiplication given is -10 * -9 * 5 * -13 = 5850, but since the last multiplier is negative, the overall result is negative, making it -5850.

Question 2

Simplify.
-$$\frac { 1 } { 3 } - \frac { 13 } { 42 } + \frac { 4 } { 21 } - \frac { 5 } { 42 }$$

Accepted Answer

To simplify, find a common denominator, which is 42. Convert each fraction: $\frac{1}{3} = \frac{14}{42}$, $\frac{4}{21} = \frac{8}{42}$. Then, $\frac{14}{42} - \frac{13}{42} + \frac{8}{42} - \frac{5}{42} = \frac{4}{42} = \frac{2}{21}$.

Question 3

Solve the problem.
-In a certain location, the highest temperature recorded was 100°F. The lowest temperature recorded was 126 degrees less than the highest. What was the lowest temperature?

Accepted Answer

The lowest temperature is calculated by subtracting 126°F from the highest temperature of 100°F, resulting in 100°F - 126°F = -26°F.

Question 4

Multiply.
--4 ·5

Accepted Answer

When you multiply a negative number by a positive number, the result is negative. Therefore, -4 multiplied by 5 equals -20.

Question 5

Solve the problem.
-The stock market gained 36 points on Tuesday and lost 21 points on Wednesday. Find the difference between these changes.

Accepted Answer

The answer of Solve the problem.
-The stock market gained 36...

Question 6

Solve the problem.
-Nikki is fishing from a bank 22 feet above water level. In this location, the fish tend to feed at 45 feet below the surface. How long must Nikki's fish line be to reach the fish?

Accepted Answer

To reach the fish, Nikki's line must extend from the bank down to the water level (22 feet) and then further down to where the fish are feeding (45 feet). Adding these two distances gives a total of 22 + 45 = 67 feet.

Question 7

Multiply. -(-1)⁶

Accepted Answer

(-1)^6 equals 1 because any negative number raised to an even power results in a positive number.

Question 8

Solve the problem.
-Wayne has $30.72 in his wallet. Janice has a debt note for $20.00 in her wallet. Find the difference between these amounts.

Accepted Answer

The answer of Solve the problem.
-Wayne has $30.72 in his...

Question 9

Multiply.
--10 · (-6)

Accepted Answer

When you multiply two negative numbers, the result is positive. Therefore, -10 multiplied by -6 equals 60.

Question 10

Solve the problem.
-The temperature at the South pole was 49° at 8 am. At 3 pm, it was -43°. By how many degrees did the temperature drop?

Accepted Answer

The temperature dropped from 49° to -43°, which is a decrease of 92 degrees (49 - (-43) = 92).

Question 11

Solve the problem.
-The ocean surface is at 0 ft elevation. A diver is underwater at an elevation of -176 ft near a rock formation. In this area, the ocean floor has an elevation of -368 ft. The rock formation rises to a peak 247 ft above the ocean
Floor. How many feet below the top of the rock formation is the diver?

Accepted Answer

The answer of Solve the problem.
-The ocean surface is at...

Question 12

Multiply.
-4 ·(-7)·4 ·(-8)·7 ·(-4)·(-5)

Accepted Answer

The product of the numbers is positive because there is an even number of negative factors. Calculating the product gives 125,440.

Question 13

Simplify.
-$- \frac { 19 } { 24 } + \frac { 4 } { 9 } - \left( - \frac { 1 } { 6 } \right) + \frac { 1 } { 3 }$

Accepted Answer

To simplify the expression, first find a common denominator for the fractions, which is 72. Convert each fraction: $-\frac{19}{24} = -\frac{57}{72}$, $\frac{4}{9} = \frac{32}{72}$, $-\left(-\frac{1}{6}\right) = \frac{1}{6} = \frac{12}{72}$, $\frac{1}{3} = \frac{24}{72}$. Adding these together gives $-\frac{57}{72} + \frac{32}{72} + \frac{12}{72} + \frac{24}{72} = \frac{11}{72}$.

Question 14

Solve the problem.
-Company A showed a profit of $80,640 last year, while Company B had a loss of $89,520. Find the difference between these amounts.

Accepted Answer

The difference between Company A's profit and Company B's loss is $80,640 - (-$89,520) = $80,640 + $89,520 = $170,160.

Question 15

Multiply.
--9 · (-9)

Accepted Answer

When you multiply two negative numbers, the result is positive. Therefore, -9 multiplied by -9 equals 81.

Question 16

Multiply.
--6 ·(-9)·(-8)

Accepted Answer

When multiplying three negative numbers, the result is negative. The product of their absolute values is 6*9*8 = 432, thus the answer is -432.

Question 17

Solve the problem.
-The two charts show the weight gain of some people and the weight loss of other people. Use the information given to answer the question below.

What is the difference between the weight gain of Abe and the weight loss of Frank?

Accepted Answer

The answer of Solve the problem.
-The two charts show the...

Question 18

Multiply.
--5 ·(-16)

Accepted Answer

The product of two negative numbers is positive, so -5 multiplied by -16 equals 80.

Question 19

Solve the problem.
-After one round in a card game, your score was -40 points. After the second round, your score was 47 points. How many points did you gain in the second game?

Accepted Answer

To find the points gained in the second game, subtract the score after the first round from the score after the second round: 47 - (-40) = 47 + 40 = 87 points.

Question 20

Multiply.
--6 ·(-10)·(-3)·10 ·(-8)

Accepted Answer

When multiplying an odd number of negative numbers, the result is negative. However, in this case, there are three negative numbers, making the product negative, but there's a mistake in my explanation process. Correctly, multiplying an even number of negative numbers together results in a positive product. Here, we have three negative numbers and two positive numbers. The multiplication is: -6 * -10 * -3 * 10 * -8 = 14400. So, the correct answer is positive 14,400, not negative.

Quiz 1: Introduction to Real Numbers and Algebraic Expressions

Multiply. --10 ·(-9) ·5 ·(-13)

Simplify. - $\frac { 1 } { 3 } - \frac { 13 } { 42 } + \frac { 4 } { 21 } - \frac { 5 } { 42 }$

Solve the problem. -In a certain location, the highest temperature recorded was 100°F. The lowest temperature recorded was 126 degrees less than the highest. What was the lowest temperature?

Multiply. --4 ·5

Solve the problem. -The stock market gained 36 points on Tuesday and lost 21 points on Wednesday. Find the difference between these changes.

Solve the problem. -Nikki is fishing from a bank 22 feet above water level. In this location, the fish tend to feed at 45 feet below the surface. How long must Nikki's fish line be to reach the fish?

Multiply. -(-1) ⁶

Solve the problem. -Wayne has $30.72 in his wallet. Janice has a debt note for $20.00 in her wallet. Find the difference between these amounts.

Multiply. --10 · (-6)

Solve the problem. -The temperature at the South pole was 49° at 8 am. At 3 pm, it was -43°. By how many degrees did the temperature drop?

Multiply. -4 ·(-7) ·4 ·(-8) ·7 ·(-4) ·(-5)

Simplify. - $- \frac { 19 } { 24 } + \frac { 4 } { 9 } - \left( - \frac { 1 } { 6 } \right) + \frac { 1 } { 3 }$

Solve the problem. -Company A showed a profit of $80,640 last year, while Company B had a loss of $89,520. Find the difference between these amounts.

Multiply. --9 · (-9)

Multiply. --6 ·(-9) ·(-8)

Solve the problem. -The two charts show the weight gain of some people and the weight loss of other people. Use the information given to answer the question below. What is the difference between the weight gain of Abe and the weight loss of Frank?

Multiply. --5 ·(-16)

Solve the problem. -After one round in a card game, your score was -40 points. After the second round, your score was 47 points. How many points did you gain in the second game?

Multiply. --6 ·(-10) ·(-3) ·10 ·(-8)