Adding Rational Numbers
Subtracting Rational Numbers
Multiplying Rational Numbers
Rewriting Rational Numbers
100
the simplified form of...
20 + (-5) + (-3)
What is 12?
20 + (-8) = 12
100
the simplified form of...
-17 - 8 - (-5)
What is -20?
-17 + (- 8) + 5 = -25 + 5 = -20
100
the simplified form of...
-2(-0.03)
What is 0.06?
100
the decimal form of...
1/8
What is 0.125?
200
the simplified form of...
-7.3 + (-2.25) + 1.05
What is -8.5?
-7.3 + (-2.25) + 1.05 = -9.55 + 1.05 = -8.5
200
the simplified form of...
-8.42 - (-3.4)
What is -5.02?
-8.42 + 3.4 = -5.02
200
the simplified form of...
-5/7 * 14/25
What is -2/5?
-5/7 * 14/25 = -1/1 * 2/5 = -2/5
200
the decimal form of...
-3/25
-3/25 = -12/100 = -0.12
300
the simplified form of...
-1/3 + 5/9
What is 2/9?
-1/3 + 5/9 = -3/9 + 5/9 = 2/9
300
the simplified form of...
-2/3 - 7/9
What is -1 4/9?
-2/3 - 7/9 = -6/9 + - 7/9 = -13/9 = -1 4/9
300
the simplified form of...
(-4)(-3/8)(-1/2)
What is -3/4?
(-4)(-3/8)(-1/2) = -4/1*-3/8*-1/2=-3/4
300
the decimal form of...
9 6/11
What is 9.5454...?
9 6/11 = 9 + 6/11 = 9 + 0.5454...
400
At the start of summer, Joan got a haircut that took off 1.75 inches. By the end of the summer, her hair had grown 1.75 inches. Write an expression for the overall increase or decrease to Joan’s hair in inches?
-1.75 + 1.75
400
Kiana adds 5 1/4 pounds of strawberries to her aunty's shopping cart. Then she takes 2 1/2 pounds of strawberries out of the cart. What is the overall increase or decrease in pounds of strawberries in the shopping cart?
2 3/4 pounds increase
5 1/4 - 2 1/2 = 21/4 - 10/4 = 11/4 = 2 3/4
400
Greg's watch will be 26 minutes behind.
8 (-3 1/4) = (8/1)(-13/4) = (2/1) (-13/1) = -26
400
the decimal form of...
7/5
What is 1.4? Since 1/5 = 0.2
7/5 = 0.2+0.2+0.2+0.2+0.2+0.2+0.2 = 1.4
500
Ka'u'i is making cookies. From a bag of sugar, she removed 1 1/4 cups for the cookie dough and 3/8 cup to sprinkle on top. What number represents the total change in the amount of sugar in the bag?
-1 1/4 + (-3/8) = -5/4 + (-3/8) = -10/8 + (-3/8) = -13/8
-1 5/8 cups of sugar
500
In kindergarten, Courtney was 36.75 inches tall. Her height is now 59.5 inches. Find the change in Courtney's height.
Courtney grew 22.75 inches in height.
Final - Initial = 59.50 - 36.75 = 22.75
500
If Melia writes 6 checks for $19.98, what expression describes the change in her bank account? What would the total change in Melia's bank account be?
6(-19.98) or
6 * (-19.98)
Melia's bank account would decrease by $119.88.
500
A relay race is 2 miles long. Eleven students will run this relay, splitting the distance as equally as possible. Does the first relay exchange happen before or after 0.2 miles?
The first relay exchange happens before 0.2 miles because 0.1818...< 0.2 miles.
2/11 = 2 ÷ 11 = 0.1818...