Multiplying by Powers of 10

When multiplying a decimal number by a power of ten, the exponent (or the 0's in the power of ten) will tell you______________________________.

• How many zeros you will have in your answer

• How many digits will be in the answer

• The number of places to move your decimal to the LEFT

• The number of places to move your decimal to the RIGHT

4 x 10^{2 =}

• 24

• 4

• 4,000

• 400

80.72 x 10³ =

• 80,720

• 8,072

• 807,200

• 807.20

5.8 x 100

• 580

• 5.8

• 5,800

• .58

17.5 x 1000

• 1.75

• 175

• 17,500

• 0.175

7.129 × 100 = 

• 712.9

• 71.29

• 0.7129

• 0.07129

23 x 10²

• 23,000

• 230

• 230,000

• 2,300

2.7 x 10

• 270

• 0.27

• 27

• 0.027

• 1 place to the right

• 1 place to the left

• 2 places to the right

• 2 places to the left

62.08 x 1000 =

• 62,080

• 0.6208

• 620.8

• 6,208.0