**Number Squared = Number × Itself = Number²**

**
Basics
**Number Squared = Number × Itself = Number²

3 squared = 3 × 3 = 3² = 9

12 squared = 12 x 12 = 12² = 144

20 squared = 20 × 20 = 20² = 400

In order to get the correct answer when squaring a negative number, place the

negative number in parentheses to protect the order of operations.

Right: -3 squared = (-3)² = 9

Wrong: -3 squared = -3² = -9

is the squaring command.

It is possible that questions involving squaring will be in the calculator-prohibited section of the test. In that case, it is helpful to know your multiplication and division tables.

Formulas (NOT provided by **Mathematics Formula Sheet**)

Number Squared = Number × Itself = Number²

**
Question
**What is 4²?

**Answer
**16

Calculator Click |
What You See |
Comment |

blinker | clears screen | |

4 | 4² | 4 squared |

16 | Answer | |

## Number² |

**
Question
**According to the calculator, what is the value of -4²?

According to the calculator, what is the value of (-4)²?

Observe how parentheses change the results of these calculations.

**Answer
**-4² = -16

(-4)² = 16

**Answer Process
**The second calculation illustrates the way parentheses protect the order of operations when squaring a negative number.

Calculator Click |
What You See |
Comment |

blinker | clears screen | |

4 | -4² | |

-16 | ||

blinker | clears screen | |

4 | (-4)² |
## Parentheses protect order of operations. |

16 | ||

## Number² |

Question

What is squared?

**Answer
**

Calculator Click |
What You See |
Comment |

blinker | clears screen | |

1 4 | squared | |

Answer | ||

## Number² |

**
Question
**What is 71.4 squared?

**Answer
**5097.96

Calculator Click |
What You See |
Comment |

blinker | clears screen | |

71.4 | 71.4² | 71.4 squared |

5097.96 | Answer | |

## Number² |

**
Question
**Without using the calculator, what is 5 squared?

**Answer
**25

**Answer Process
5 squared = 5² = 5 × 5 = 25
**

**
Question
**Without using the calculator, what is -5 squared?

**Answer
**25

**Answer Process
**-5 squared = (-5)² = -5 × -5 = 25

Practice – Questions**
**1. What is 9²?

2. What is 9 squared?

3. What is (-9)²?

4. What is -9 squared?

5. What is -9²?

6. What is squared?

7. What is squared?

8. What is 313.25 squared?

9. Without using the calculator, what is 7 squared?

10. Without using the calculator, what is -7 squared?

Practice – Answers

1. 81

2. 81

3. 81

4. 81

5. -81

6.

7.

8. 98125.5625

9. 49

10. 49