Multiplying by Powers of 10
What is 100,000 written in exponential form?
105
Estimate the product of 344 x 13 by rounding to the nearest ten.
340 x 10 = 3,400
Create an area model to find 22 x 31.
600 + 20 + 60 + 2 = 682
Find 23 x 4 using the standard algorithm.
23 x 4 = 92
Find 14 x 12 using the standard algorithm.
14 x 12 = 168
Find 5 x 108.
500,000,000
Find 344 x 13 using compatible numbers. (Use easy numbers that make sense to use in your head!)
Possible Answers:
340 x 10= 3,400
350 x 10= 3,500
300 x 15 = 4,500
Use an area model to find 45 x 27.
800 + 40 + 100 + 5 = 945
Find 141 x 5 using the standard algorithm.
141 x 5 = 705
Find 321 x 17 using the standard algorithm.
321 x 17 = 5,457
What is 40,000 written in exponential form?
4 x 104
Estimate 568 x 14 by rounding to the nearest ten.
5,700
Create an area model for 194 x 73.
7,000 + 6,300 + 280 + 300 + 270 + 12 =14,162
Find 662 x 4 using the standard algorithm.
662 x 4 = 2,648
Find 378 x 29 using the standard algorithm.
378 x 29 = 10,962
Find 37 x 107.
370,000,000
Estimate 427 x 18 by:
- Rounding to the nearest ten
- Compatible numbers
430 x 20 = 8,600
Possible answers for compatible numbers:
400 x 15 = 6,000
430 x 10 = 4,300
430 x 20 = 8,600
Use area model and vertical partial products to find 142 x 68.
6,000 + 2,400 + 120 + 800 + 320 + 16 = 9,656
Find 1,402 x 7 using the standard algorithm.
1,402 x 7 = 9,814
Find 1,432 x 31 using the standard algorithm.
1,432 x 31 = 44,392
Find 60 x 103.
60,000
Estimate 298 x 23 by using:
- Rounding to the nearest ten
- Compatible numbers
300 x 20 = 6,000
Possible Answers for compatible numbers:
300 x 20 = 6,000
300 x 25 = 7,500
Use an area model and a partial products to find 1,308 x 37.
30,000 + 9,000 + 240 + 7,000 + 2,100 + 56 = 48,396
Find 3,522 x 6 using the standard algorithm.
3,522 x 6 = 21,132
Find 3,507 x 64.
3,507 x 64 = 224,448