Adding/Subtracting Integers
3-3
0 (twenty points)
3 x 18
54 (-10 points)
1/2 + 2/4
4/4 or 1 (5 points)
32
32
= 3 x 3
= 9 (-15 points)
3 + 4 x (10 - 6)
3 + 4 x (10 - 6)
3 + 4 x 4
3 + 16
19 (30 points)
10 + (-6)
They have different signs, so you subtract the smaller number from the larger number and keep the sign of the larger number.
= 4 (-25 points)
-4 x 12
When multiplying/dividing integers, use these rules:
negative x negative = positive answer
positive x negative = negative answer
negative x positive = negative answer
-4 x 12 = -48 (-20 points)
-3/4 + 5/8
-3/4 + 5/8 when adding/subtracting fractions, always find the LCD, and then add/subtract the numerators using the same rules for adding/subtracting integers.
= -6/8 + 5/8
= -1/8 (25 points)
33
33 The exponent (little #) tells you how many times you multiply the base (big #) by itself.
= 3 x 3 x 3
= 27 (15 points)
24 / (10-4) + 3
24 / (10-4) + 3 BEDMAS
= 24 / 6 + 3
= 4 + 3
= 7 (20 points)
4 - 9
We change subtraction questions into addition questions by flipping the sign of the second integer.
= 4 + (-9) then we subtract the smaller # from the bigger # and keep the sign of the larger number.
= -5 (3 points)
-5 x (-4)
-5 x (-4) negative x negative = positive
= 20 (20 points)
4/4 - 2/8
4/4 - 2/8
= 4/4 - 1/4
= 3/4 (-10 points)
What is the square root of 121?
The square root is a number that when multiplied by itself (the power of 2), creates the number given.
Ex: The square root of 121 is 11 because 11 x 11 = 121 (-20 points)
-3 + 5 x 4 / 21
The exponent 1 means that it is just 2, because 22 would be 2x2.
-3 + 5 x 4 / 21
-3 + 20 / 2
-3 + 10
7 (-15 points)
12 - (-8)
Turn subtraction into addition, flip sign, and solve.
12 - (-8)
= 12 + (+8) or 12 + 8
= 20 (40 points)
-13 x 4
-52 (1 stinky egg, 0 points)
7/10 + (-4/5)
7/10 + (-4/5) Find the LCD
= 7/10 + (-8/10) Use Adding/Subtracting Rules
= -1/10 (10 points)
104
104 = 10 x 10 x 10 x 10
A quick trick for powers of ten is to write down 1 followed by the # of zeros = to the exponent.
Ex: 104 will equal 10000 because it is 1 with 4 zeros after.
(5 - 7) x 12 - 33
(5 - 7) x 12 - 33
= -2 x 12 - 27
= -24 - 27 Use integer rules.
= -24 + (-27) The signs are same, add and keep.
= -51 (25 points)
6 - 9 + 13
Solve left to right.
6 - 9 + 13
= -3 + 13
= 10 (-5 points)
-12 x (-12)
-12 x (-12) Negative x Negative = positive
= 144
(15 points)
-2/5 - (-6/15)
-2/5 - (-6/15)
= -2/5 - (-2/5)
= -2/5 + 2/5
= 0 (40 points)
24.5 x 103
24.5 x 103 When multiplying by powers of ten, just move the decimal to the right by the exponent #. Think about what happens when you multiply 24 by 10. 24 x 10 = 240, all you did was move the decimal to the right one space. This only works when multiplying by powers of 10.
= 24500 (-10 points)
(5 - 5 + 8 / 2)3
(5 - 5 + 8 / 2)3
= (5 - 5 + 4)3
= (0 + 4)3
= 43 = 4 x 4 x 4 = 16 x 4 = 64 (-15 points)