Powers and Exponents
Patterns when Multiplying by Powers of 10
Rounding Numbers
Area Models
Partial Products
100

What is the multiplication expression for the exponential form? 

103

10 x 10 x 10

100

32 x 102

3200

100

If a math sentence says "about how much" that means you should _____ the numbers.

round

100

Solve doing an Area Model.

23 x 45


23 x 45=1,035  

100

23 x 45

23 x 45=1,035 

200

What is the exponential form?


10 x 10 x 10 x 10

104

200

57 x 104

570,000

200

Round both numbers then multiply.


643 x 18

600 x 20= 12,000

200

Solve doing an Area Model.

54 x 63

54 x 63=3,402 

200

35 x 32=

35 x 32=1,120 

300

What is the exponential form of the power of 10?

1000

103

300

What is the unknown factor?


43 x ______ = 4,300,000

105

300

Round both numbers then multiply.

572 x 49=

600 x 50=30,000 

300

Solve doing an Area Model.

324 x 76

324 x 76=24,624 

300

354 x 23

354 x 23=8,142 

400

True or False.


105= 50

If false, what is the correct answer?

False.

100,000

400

Describe the pattern when multiplying by powers of 10.


For example 105= 100,000

The number of exponent is the same number of zeros

400

The town library has 478 shelves. Each shelf holds 48 books. About how many books does the library have?

500 x 50=25,000

400

A school collected 128 boxes of canned food. Each box has 45 cans. How many cans of food did the school collect?

128 x45=5,760 

400

A store sold 12 mountain bikes and scooter packages for $367. How much money did they make?

367 x 12=4,404 

500

Grace reviewed 106 lines of a computer program. How many lines did she review?

1,000,000

500

Find the unknown factor. 

? x 105= 56,300,000

563

500

The school bake sale sold 405 baked goods for $12 each. About how much did the bake sale earn?

400 x 10=4,000 

500

Use the method from yesterday.

9736 x 3

9736 x 3=29,208 

500

Use the method from yesterday.

13802 x 3

13802 x3=41,406