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7th Grade Number Sense

Version 47, changed by admin. 10/11/2007.   Show version history


 This is part of the K-7 Mathcasts 500 Project (Details)

     Standard  + Sample Problem(s)
Mathcasts

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7NS.1.0
Students know the properties of, and compute with, rational numbers expressed in a variety of forms:

   

1.1 Read, write, and compare rational numbers in scientific notation (positive and negative powers of 10) with approximate numbers using scientific notation.
            

       




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1.2 Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) and take positive rational numbers to whole-number powers.
           






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1.3 Convert fractions to decimals and percents and use these representations in estimations, computations, and applications.
          
 




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1.4 Differentiate between rational and irrational numbers.
         
 

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1.5 Know that every rational number is either a terminating or repeating decimal and be able to convert terminating decimals into reduced fractions.
        
        



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1.6 Calculate the percentage of increases and decreases of a quantity.

        

 
     



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1.7 Solve problems that involve discounts, markups, commissions, and profit and compute simple and compound interest.   
          

 


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2.0 Students use exponents, powers, and roots and use exponents in working with fractions:

   

2.1 Understand negative whole-number exponents. Multiply and divide expressions involving exponents with a common base.
      
 

 




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2.2 Add and subtract fractions by using factoring to find common denominators.
      
 

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2.3 Multiply, divide, and simplify rational numbers by using exponent rules.
      
      
       
 



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2.4 Use the inverse relationship between raising to a power and extracting the root of a perfect square integer; for an integer that is not square, determine without a calculator the two integers between which its square root lies and explain why.

      

 

 

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2.5 Understand the meaning of the absolute value of a number; interpret the absolute value as the distance of the number from zero on a number line; and determine the absolute value of real numbers.
      
       
 

 



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Keywords: addition

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