HM6 Unit 2 Decimal System

Powers

100

Evaluate 

21^2

441

200

Write as a single power:  

5*5^6*5^3

5^10

300

Evaluate 

6^-3

1/216

400

2(3a-b)^2; a= 3 and b = 4

2(3*3-4)^2

2(5)^2

2*25 = 50

500

(12+4a)^0 + 3*(3^-3) + 2(3^-2); a= 3

1 1/3

Decimal System

100

Write in words: 

68,090.0345

Sixty-eight thousand ninety and three hundred forty-five ten-thousandths

200

Write in expanded notation with exponents:  10293.104

1(10^4)+0(10^3) + 2(10^2) + 9(10^1) + 3(10^0) + 1(10^(-1)) + 0(10^(-2)) + 4(10^(-3))

300

Write as a decimal:  

456 * 10^-4

0.0456

400

Write as a fraction and a decimal:  

89 div 10^5

89/10^5 = 89/100000 = 0.00089

500

Write as a fraction in lowest terms:  

2250 * 10^-8

9/400000

Comparing Decimals

100

Put in order from least to greatest:  0.02    0.019 0.009   0.2

0.009 <  0.019 <   0.02 <  0.2

200

Name a number for x that makes the statement true:  

0.14 < x < 0.15

Answers will vary:  for example, 0.145

300

List from greatest to least:  0.01  0.0099  0.9  0.009

0.9  > 0.01  >  0.0099  >  0.009

Scientific Notation

100

4.95 * 10^5

495,000

200

Write in standard form:  

6.509 times 10^6

6,509,000

300

Write in standard form:  

8.76 times 10^-8

0.0000000876

400

Write in scientific notation:  253,000,000 cars on the road

2.53 times 10^8

500

Write in scientific notation:  Tons in an ounce  0.00003125

3.125 times 10^-5

Miscellaneous

100

Evaluate:  

2(3^4+5^2)^0

2

200

Write as a binary number:  49

110001₂

300

Write in base 5:  58

213₅

400

Write the base 5 number as a decimal number: 244₅

74

500

Convert the base 2 number to base 5:  10011110₂

158 (base 10) and 1113₅