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Jan 11 DMH Number Theory Test

Last updated over 4 years ago
17 questions
5

Match the set of numbers with its name.

  • {...,-5,-4,-3,-2,-1,0,1,2,3,4,5,...}
  • {0,1,2,3,4,5,...}
  • {1,2,3,4,5,...}
  • The set of numbers whose decimal representations are neither terminating nor repeating
  • Natural Numbers
  • Whole Numbers
  • Integers
  • Rational Numbers
  • Irrational Numbers
7

Without use of a calculator! Pick all that apply. Which numbers divide 392,248

6

Perform the indicated operation

6

Express the sentence as a single numerical expression. Then use the order of operations to simplify the expression Only include the simplified expression in the answer below
Cube -4. Subtract this exponential expression from -40.

6

Express
as a quotient of integers in lowest terms

6

Perform the indicated operations. Where possible, reduce the answer to its lowest terms.

6

Add:

5

Rationalize the denominator:

6

Put the following into a fraction and be sure to show your work.
.204

6

Solve the following and be sure to show your work. Be sure to FULLY simplify.

6

List all of the subsets of the following set:
{ − 16 , − 3 2 , 0 , .069 , 2 , π , 16 }
Natural: { }
Whole: { }
Integers: { }
Rationals: { }
Irrationals: { }
Real: { }

6

Find the rational halfway between 

Be sure to show your work

4

Express the rational number as a decimal.

5

What is 11mod 4 = ?

7

Find the least positive integer, n, such that

is a perfect square. n=? Show your work

7

Find the smallest positive integer to multiply by 896 and create a perfect squared number

6
  • 17 + (-17) = 0
  • Inverse Property of Addition
  • Communtative property of multiplication
  • Identity property of multiplication
  • Associative property of addition
  • Distributive property of multiplication over addition
  • Inverse property of multiplication