Absolute value
What is the absolute value of |-12|?
The absolute value for -12 is 12.
How you get the answer: The absolute value is always positive unless the negative sign is on the outside of the bars. The negative sign is on the inside of the bars, which means the absolute value is positive.
14 + (-32)=
-17
How you get the answer: In the problem 14 + (-32), 14 is positive and 32 is negative. Since there is a positive and a negative, we subtract. 32 - 14 = 17. Since 32 is the larger number and is negative, the answer would be negative.
- 1/5 +(-1/4)
-9/20
How you get the answer: In the problem -1/5 +(-1/4), -1/5 and -1/4 both are negative. Since there is two negatives, we add like normal. Before we do, we have to get common denominators. The smallest common number between 4 and 5 is 20. Now we have to multiply the numerators by the same number we did for the denominator. 1 x 4 = 4 and 1 x 5 = 5. Now the new fractions, 4/20 and 5/20, can be added.. 4/20 + 5/20 = 9/20. Since both fractions are negative, the answer is negative.
9.23 + (-4.12)
5.11
How you get the answer: In the problem 9.23+(-4.12), 9.23 is positive and 4.12 is negative. Since there is a positive and a negative, we subtract. 9.23 - 4.12 = 5.11. The larger number is 9.12, which is positive, so the answer is positive.
What is an integer?
An integer is the positive and negative numbers, including zero .
-|35|
The absolute value for -|35| is -35.
Hint: The negative sign is on the outside of the bars, so the answer is negative.
Tommy has $-10 in his bank account. He puts $68 into the account. How many dollars is in Thomas's bank account?
Tommy has $58 in his bank account.
How you get the answer: In the problem -10 + 68, 68 is positive and 10 is negative. Since there is a positive and a negative, we subtract. 68 - 10 = 58. Since 68 is the larger number and is positive, the answer would be positive.
1/2 - (-25/31)
1 19/62
How you get the answer: First, you need to change the two negative signs to a plus sign. Then, you have to get a least common denominator. The LCD is 61. Next, you add. 31/62 + 50/62 = 1 19/62
6.673 - (-8.29)
14.963
How you get the answer: In the problem 6.673 +(-8.29), there are two negative signs right next to each other. If there is two negative signs right next to each other, they turn into a plus sign. 6.673 + 8.29 = 14.964
What is a rational number?
A rational number is a number that can be written as a ratio or a fraction .
-|-23| + (-|241|)
-264
How you get the answer: First, you find out the absolute value. The absolute value is -23 and -241. Then you add. -241 + -23 = -264. Both numbers are negative, so the answer is negative.
-39 x -8
312
How you get the answer: First, you multiply like normal. -39 x -8 = 312. Then, you see if the answer needs a negative sign. Since both numbers are negative, the answer is positive.
The hour hand of a clock moves -30o every hour. How many degrees does it move in 2 1/5 hours?
The hour hand moves -66o in 2 1/5 hours..
How you get the answer: In the problem -30(2 1/5), you need to make -30 into a fraction and 2 1/5 into an improper fraction. The problem would be -30/1 x 11/5. Then, you can cross simplify if possible. 5 can go into 30 six times and 5 can go into 5 once. The new problem is -6/1 x 11/1. Now, we can multiply. 6 x 11 = 66 and 1 x 1 = 1. So the answer is -66/1 or-66o.
-645.2 x -12.1
7806.92
How you get the answer: First, you multiply like normal and add the decimal in the needed place. -645.2 x -12.1 = 7806.92 Then, you see if the answer needs a negative sign. Since both numbers are negative, the answer is positive.
What is greatest common factor (GCF)?
A greatest common factor is the greatest number that divides into both numbers.
Hint: The greatest common factor has the word greatest, which is in the definition.
-|12| + -|4| __ -|4| x |-4|
=
How you get the answer: First, you add the first number. -12 + -4 = -16. Next, you multiply the second number. -4 x 4 = -16. -16 is equal to -16.
-435 / 15
-29
How you get the answer: First, you divide like normal. -435 / 15 = -29. Then, you see if you need a negative sign. Since both numbers are negative, the answer is positive.
5/8 / -5/12
-1 1/2
How you get the answer: First, you need to divide. We use the KFC method. We keep the first fraction, flip the second one, and change the division symbol to a multiplication symbol. The problem now is 5/8 x -12/5. We can cross simplify. Both 8 and 12 have 4 as a multiple and both 5 and 5 have 5 as a multiple. now the problem is 1/2 x -3/1. 1/2 x -3/1 = -1 1/2. Since only one of the digits is a negative, the answer is negative.
132.6 / -3
-44.2
How you get the answer: First, you divide like normal and add a decimal sign where needed. 132.6 / -3 = -44.2. Then, you see if the answer needs a negative symbol. Since only one of the numbers is negative, the answer is negative.
What is a dividend?
A dividend is a number that is divided by another number .
Hint: Dividend and divided both end in -ed.
(|-45| + |-32| - |3|)|-2| _ -|47|(-|3|) + |7|
(|45| + |-32| - |3|) |-2| = -|47| (-|3|) + |7|
How you get the answer: You start with the first answer. You have to add 45 and 32. 45 + 32 = 77 Then you have to subtract 3. 77 - 3 = 74 Next, you multiply by 2. 74 x 2 = 148. Then, you do the second answer. You have to multiply -47 by -3. -47 x (-3) = 141. After, you add 7 to the answer. 141 + 7 = 148 Then you take the two answers and compare them. 148 is equal to 148.
(12 x (-15) + -3) / -3
61
How you get the answer: First, you do the problem in the parentheses in PEMDAS order. Multiplication comes first. 12 x (-15) = -180. Then you add. -180 + -3 = -183. Next, you divide the answer from inside the parentheses by the number outside. -183 / -3 = 61. Since both 183 and 3 is negative, the answer is positive.
-1/2 x (1 3/5 + (-2/3)) x 3/7 =
1/5
How you get the answer: You add 1 3/5 and -2/3. 1 3/5 + (-2/3) = 14/ 15. Then, you multiply the answer by -1/2. -1/2 x 14/15= -7/15. Lastly, you have to multiply the answer by 3/7. 3/7 x 7/15 = 1/1 x 1/5 = 1/5
3.14 x (-3.14) / 2
-4.9298
How you get the answer: First, you multiply 3.14 and -3.14. 3.14 x (-3.14) = 9.8596. Next,
What is a divisor?
A divisor is a number that divides into another number.
Hint: Divisor and divides have the same amount of letters.