Lesson 7: Working with Prefixes and Powers of 10

Divide the following using powers of 10. (4.5 × 10ˆ−3) ÷ (2 × 10ˆ3)

0.00000225

Which of the numbers below correctly describes 30.25 ns?

0.03025 µSec

Which of the numbers below correctly describes 17 mA?

17,000 µA

Multiply the following using powers of 10. Change to powers of 10 where necessary. Show answers in decimal form. (6 × 10ˆ6) × (5 × 10ˆ3)

30,000,000,000

Subtract using powers of 10. (6.65 × 10ˆ4) − (5.35 × 103)

61,150.0

When the prefix milli is used, it means multiply the number by ? .

0.001

Which of the numbers below correctly describes 1,250 volts?

0.00125 MV

Which of the numbers below correctly describes 5,000 µf?

0.005 farad

When converting from a whole number to a prefixed number, ? the whole number by the value of the ? .

divide / prefix

Which of the numbers below correctly describes 63.45 Mhz?

Both a and b

Which of the numbers below correctly describes 25 A?

0.025 kA

Match the following powers of 10 to the correct units.

1 × 100ˆ0 / unit 1 × 100ˆ1 / deka 1 × 100ˆ2 / hecto 1 × 100ˆ3 / kilo 1 × 100ˆ6 / mega 1 × 100ˆ-3 / milli

Match the following powers of 10 to the correct numbers.

1 × 10ˆ0 / 1 1 × 10ˆ1 / 10 1 × 10ˆ2 / 100 1 × 10ˆ3 / 1,000 2.5 × 10ˆ3 / 2,500 6.7 × 10ˆ6 / 6,700,000 7.5 × 10ˆ−3 / 0.0075

Divide the following using powers of 10. (6 × 10ˆ6) ÷ (5 × 10ˆ3)

1,200

Add the following using powers of 10. (6.65 × 10ˆ3) + (5.35 × 103)

12,000.0

Add the following using powers of 10. (3.455 × 10ˆ6) + (5.45 × 105)

4,000,000.0

Which of the numbers below correctly describes 4.7 h?

4,700 mh

Multiply the following using powers of 10. Change to powers of 10 where necessary. Show answers in decimal form. (4.5 × 10ˆ-3) × (2 × 10ˆ4)

90

When the prefix ? is used, it means multiply the number by 1,000.

kilo

When converting from one prefixed number to another, ? the number by the value of the first prefix and ? that value by the value of the prefix to which you are converting.

multiply / divide