Addition
USE PARTIAL SUMS (THE BOXES)
10,263 + 12, 192
22,455
Use Decomposing! (EXPANDED FORM)
1,865 ‒ 927
938
What is a sum?
the answer to an addition problem
Bob had $8,532. Sally had $1,064. How much do they have altogether?
$9,596
The Valentine Hotel is preparing is hiring staff for the summer. Last month they hired 4,327 staff. This month they hired 8,024 staff. The hotel needs a total of 17,926 staff.
How many more staff do they need to get ready?
5,575 more staff
STANDARD NO REGROUPING
93,887 + 6,012
99,899
STANDARD NO REGROUP
39,209 ‒ 7,107
31,102
What is a difference?
Bob has 9,682 pieces of candy from Halloween. Sally has 10,063 pieces of candy from Halloween. How much candy do they have altogether?
10,745 pieces of candy
The Valentine Hotel is preparing its rooms for the summer. Building A holds 9,482 rooms. Building B holds 6,501 rooms. The hotel currently has 12,073 rooms ready.
How much more rooms do they need to get ready?
3,910 rooms
STANDARD REGROUPING
8,903 + 7,245
16,148
STANDARD REGROUPING
9,992 ‒ 673
9,319
What is partial sums?
addition using place value
Bob had 18,245 pieces of paper. Sally took 12,123 pieces of paper from him. How much paper does Bob have left?
6,122 pieces of paper
The Valentine Hotel is preparing its supplies for the summer. Last month they gathered 13,927 supplies. This month they gathered 10,957 supplies. The hotel needs a total of 29,736 supplies.
How much more supplies do they need to get ready?
4,852 more supplies
STANDARD REGROUPING
74,342 + 17,991
92,333
STANDARD REGROUPING
72,431 ‒ 42,231
30,200
What is decomposing?
subtraction using expanded form
Sally works at a car dealership that has 23,847 cars. This week they sold 14,254 cars. How many cars does the dealership have left?
9,593 cars left
The Valentine Hotel is preparing its pools for the summer. Pool A holds 11,842 gallons of water. Pool B holds 17,963 gallons of water. The hotel currently has 25,672 gallons of treated water ready to fill the pools. How much more water will they need to fill both pools?
The Valentine Hotel needs ______________ more gallons of water to fill both pools.
4,133 more gallons of water
STANDARD REGROUPING
14,449 + 61,725
76,174
STANDARD REGROUPING
67,301 ‒ 60,712
6,589
What is an algorithm?
a way to solve a problem
Bob has $15,287. He spent $12,869. How much money does he have left?
$2,418
The Valentine Hotel had 8,348 guests last spring and 15,436 guests last summer. It wants to have 28,000 guests this spring and summer. How many more guests than last year does the hotel need this year to reach its goal?
The Valentine Hotel needs _________________ more guests than it had last spring and summer to reach its goal.
4,216 more guest