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Jan 11 DMH Number Theory Test

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Last updated over 4 years ago
17 questions
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Question 1
1.

Match the set of numbers with its name.

  • {0,1,2,3,4,5,...}
  • {...,-5,-4,-3,-2,-1,0,1,2,3,4,5,...}
  • {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
Question 2
2.

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

Question 3
3.

Perform the indicated operation

Question 4
4.

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.

Question 5
5.

Express
as a quotient of integers in lowest terms

Question 6
6.

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

Question 7
7.

Add:

Question 8
8.

Rationalize the denominator:

Question 9
9.

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

Question 10
10.

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

Question 11
11.

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

Question 12
12.

Find the rational halfway between 

Be sure to show your work

Question 13
13.

Express the rational number as a decimal.

Question 14
14.

What is 11mod 4 = ?

Question 15
15.

Find the least positive integer, n, such that

is a perfect square. n=? Show your work

Question 16
16.

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

Question 17
17.
  • 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