Vocab
What is the definition of Sum and Difference?
The answer to an addition problem and subtraction problem.
3.5 + 2.3 =
5.8
Provide an example of the Commutative Property.
ex. 4 + 8 + 6 = 6 + 4 + 8
Jim ordered a soda for $1.86 and a sandwich for $6.49. How much did he spend total?
$8.35
12 x 36 = ?
432
What does Annex zero mean? And when do we do this?
To add a zero. Hold the place value when adding decimals.
33 + 12.79 =
45.79
What property is like looking into a mirror? Provide an example.
Identity Property of Addition. ex. 8 + 0 = 8
Sarah went to the store and bought a shirt for $9.50, jeans for $23.76, and shoes for $40.60. How much did she spend in total?
$73.86
378 x 49 = ?
18,522
Property stating that when you add zero the sum will be the other number.
Identity Property of Addition
153.79 + 98.3 =
252.09
Mason practiced basketball for 2 hours, 1 hour, and 2.5 hours. Matt practiced basketball for 1 hour, 2.5 hours, and 2 hours. Who practiced basketball for longer? Which addition property helps you find the answer?
They practiced the same amount of hours. The Commutative Property of Addition states that order of the numbers does not matter the sum is the same.
The school district has 3 schools. The elementary school has 369 students. The middle school has 325 students. The high school has 531 students. How many students does the school district have in all?
Show your steps used to solve mentally and label the properties you used.
= (369 + 531) + 325 - Associative
= 900 + 325 - Add
= 1,225 Students
3,204 / 36 =
89
What property uses parentheses to group numbers together to mentally solve?
Associative Property
$23.8 + $59 + $12.45 + 89.2 =
$184.45
$98 + $46 + $24 + $12 = Use the properties of addition to mentally solve. Show your steps and label the properties used.
= ($98 + $12) + ($46 + $24) - Associative Property
= $110 + $70 - Add
= $180 - Add
Courtney took measurements of her plant each week. She recorded: 0 inches, 0.3 inches, 2.1 inches, 3.7 inches, 5.2 inches, 5.9 inches, and 6.8 inches. How many inches total did her plant grow in all the weeks?
Use mental math to solve, show your steps, and label each property used.
= (0.3 + 3.7) + (2.1 + 5.9) + (5.2 + 6.8) + 0
- Associative
= 4 + 8 + 12 + 0 - Add
24 + 0 - Identity
24 - Add
If a room has a width of 25 ft and a length of 52 ft, what is the area of the room?
1,300 sq ft
Why do we use parentheses?
To group together numbers to mentally solve. Must solve first.
$99.35 + $325.59 + $761 =
$1,185.94
Find the sum mentally. Show your steps and label the ALL the properties you used.
54.4 + 0 + 23.2 + 21.8 + 35.6 =
54.4 + 35.6 + 23.2 + 21.8 + 0 - Commutative
(54.4 + 35.6) + (23.2 + 21.8) + 0 - Associative
90 + 45 + 0 - Add
135 + 0 - Identity
135 - Add
Angie read many books over the summer. The books had 221 pages, 115 pages, 578 pages, 315 pages, 222 pages, and 109 pages. How many pages did she read in all? Find the sum mentally, show your steps, and label each property used.
(221 + 109) + (115 + 315) + (578 + 222) - Associative
330 + 430 + 800 - Add
1,560 pages
What is the prime factorization of 960? Use exponents
2^6 x 3 x 5