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Simplifying Fractions 2
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Improper Fractions and Mixed Numbers
Properties of Exponents
Complex Solutions of Quadratic Equations
Solving Nonlinear Equations by Factoring
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Solving Linear Equations
Multiplication Property of Equality
Multiplying Mixed Numbers
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Adding Fractions with Unlike Denominators
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Adding Fractions
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Simplifying Cube Roots That Contain Variables
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Multiplying and Dividing Fractions 1
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Multiplying Two Numbers with the same Tens Digit and whose Ones Digits add up to 10
Factoring Trinomials
Exponents and Polynomials
Decimals and their Equivalent Fractions
Negative Integer Exponents
Adding and Subtracting Mixed Numbers
Solving Quadratic Equations
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Equations 1
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Multiplying Two Numbers with the same Tens Digit and whose Ones Digits add up to 10

There is a neat little trick for multiplying two numbers with the same tens digit where the ones digits add up to 10. An example of this type of problem is 23 × 27. The tens digit is the same, 2, and the ones digits add up to 10, 3 + 7 = 10. Use the following steps.

  • Multiply the ones digits together. Write the product on the right and use two digits of the answer.
  • Multiply the tens digit times 1 plus the tens digit. Write the product to the left.

 

Example:

23 × 27 =

  • Multiply 3 × 7 = 21. Write 21 to the right.
  • Multiply 2 × (2 + 1) = 2 × 3 = 6. Write 6 to the left. 621.

23 × 27 = 621.

 

Example:

49 × 41 =

  • Multiply 9 × 1 = 9. Remember to use two digits. Since 9 is only one digit in length, write 09 to the right for the answer.
  • Multiply 4 × (4 + 1) = 4 × 5 = 20. Write 20. 2009.

49 × 41 = 2009.

 

Advanced Trick

This trick also works when their are more than 2 digits in the numbers. For example, to multiply 134 × 136, you conside the “tens digit” to be 13.

 

Example:

134 × 136 =

  • Multiply 4 × 6 = 24. Write 24 to the right.
  • Multiply 13 × (13 + 1) = 13 × 14 = 182. Write 182 to the left. 18224.

134 × 136 = 18224.

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