Multiply by Powers of 10
Estimating
One Digit by One Digit (With Models)
Area Models
Multiplying and Mixed
100

10 x 13.45

134.5

100

4.5 x 19.8

5 x 20 = 100

100

0.2 x 0.1

0.02

100

Create an area model to solve 0.8 x 5.4 

4.32

100

Multiply 35.4 x 2.3

81.42

200

0.4 x 102

40

200

8 x 56.7

8 x 60 = 480

or 8 x 57 = 456


200

0.3 x 0.4

0.12

200

Create an area model to solve 1.1 x 2.2

2.42

200

14 x 9.67

135.38

300

4.65 x 100

4.65

300

8.2 x 3.09

8 x 3 = 24

300

0.9 x 0.8 

0.72

300

Create an area model to solve 4.3 x 5.2

22.36

300

Which of the following is not a power of 10

a) 103

b) 10 x 10 x 1

c) 3.5 x 10

d) 103x 0.001

c

3.5 x 10 = 35

35 cannot be written as a power of 10

400

17.5 x 103

17,500

400

.38 x 99

(hint: only round 99 to get a closer estimate)

.38 x 100 = 38

400

0.9 x 0.1

0.09

400

Create an area model to solve 12 x 3.4

40.8 or 40.80

400

Patti went to the bakery. She bought a loaf of bread for 3.49 and 4 muffins that cost 1.25 each. She also bought a bottle of juice that costs 2.75. How much did she spend all together?

All together, the muffins cost $5.00, the bread costs $3.49 and the juice costs $2.75

3.49 + 5.00 = 8.49

8.49 + 2.75= 11.24

She spent $11.24 

500

10,000 x 10.43

104,300

500

11 x 4.89

11 x 5 = 55 

or

10 x 4.89 = 48.9

or

10 x 5 = 50


500

1.2 x 0.4

0.48

500

Create an area model to solve 6.8 x 12.3

83.64

500

The digits in the product of 0.48 and a decimal number between 350 and 400 are 182136. Without knowing the other factor, where should the decimal go?

182.136

We can imagine that the other number is somewhere near 400 so we can use an estimate

0.5 x 400 = 200

So our answer needs to be somewhere near 200.