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# What is wrong with saying 372 base 6 ? What is a proper way of writing this number in base 6? - PowerPoint PPT Presentation

What is wrong with saying 372 base 6 ? What is a proper way of writing this number in base 6?. Announcements. Last day to drop without a W is Friday, September 17th First exam: Tuesday, September 28th Sample questions will be posted on the website. Answers later.

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What is wrong with saying 372 base 6? What is a proper way of writing this number in base 6?

• Last day to drop without a W is Friday, September 17th

• First exam: Tuesday, September 28th

• Sample questions will be posted on the website. Answers later.

• Class Notes: purchase at the bookstore; please get your copy as soon as possible.

BCD+ DB

BCD is DB is BCD + DB is

B0B+ABC

Part 1

• #1 Make up one addition story problem in Alphabitia and solve it.

• #2a

Whole numbers:

0, 1, 2, 3, 4, 5, …

Operations:

+ ─ × ÷

a

b

c

• 1. Counters

• 2. Number Line

• 3. Part-Part Whole

• A + B = C

• A and B are called Addends

• C is called the Sum

• Since A + B = B + A every time, we give it a special name: the commutative property.

• Since A + (B + C) = (A + B) + C every time, we give it a special name: the associative property.

• If we have 154 + 69

39 + 57

39 + 57

• Leading digit (30 + 50) + (9 + 7)

• Compensation (40 - 1) + 57

• Compensation (40 + 57) - 1

• Break and Bridge (39 + 50) + 7

• Compatible Numbers (39 + 51) + 6

• 23 + 96

• 489 + 723

• Find the sums in the table mentally.

• Write a description of your method for finding each sum.

• Did you use the same technique for all of the sums?

• Did you all use the same technique for each sum?

• How many different techniques were used?

• Get a QUICK answer that is close but not necessarily exact!

382 + 147

382 + 147

Ways to estimate:

380 + 150 = 530

400 + 150 - 20 = 530

375 + 150 = 525

390 + 140 = 530

• 45 + 87

• 391 + 1472

• Are the exact values of the addends given?

• Is the exact value of the sum required?

• In general: changing values (like population), measurement values (like distance), and predictions (like 35% chance of rain) are estimates

• When you estimate, you are rounding to the nearest ten, hundred, million, etc.

• If you round up, you are making an overestimation.

• If you round down, you are making an underestimation.

348+ 472 10 11 7

820

471+ 299 10 160 600

770

How is this different from the previous example?

• 341 + 287 is the same as 340 + 290 + 7 + 3

• 749 + 684 is the same as 700 + 600 + 49 + 1 + 84 + 16

• 322 + 468 is the same as 320 + 460

• I am thinking of 3 numbers whose sum is greater than 70.

• Look at each statement below. Mark it as true or false. Be ready to explain why.

• All three numbers are greater than 20.

• If two of the number are less than 20, the other must be greater than 20.