# TAP MATH 3

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1. 1,000M = ? KM
1,000M = 1KM
2. THE _____ OF A RECTANGLE IS THE SUM OF THE LENGTHS OF ITS FOUR SIDE.  (2L +2W)
PERIMETER.
3. DEFINE AREA OF A RECTANGLE
THE PRODUCT OF ITS LENGTH AND WIDTH.

• BE CAREFUL! ALL UNITS MUST BE THE SAME!!
• (INCHES, FEET, ECT)
4. Scientific notation...10x

MOVE TO THE LEFT/RIGHT WHAT HAPPENS?
LEFT LARGER X   RIGHT SMALLER X (-X)
5. WHEN YOU DIVIDE SCI NOTATION HOW DO YOU HANDLE THE X10X ?
SUBTRACTION.

• BUT BE CAREFUL!!! WATCH SIGNS.
• EX: -3 - -4    --->    -3 + +4= 1
6. NOTE: WHEN DOING NUMBER SEQUENCING GO PAST 1 LEVEL!!

REMEMBER THE "8" EXAMPLE!!

ALSO USE EXPONENTS AS SOLUTIONS!!
7. SLOPE FORMULA
8. WHAT IS Y=MX +B IN STANDARD FORM?
A IS POS. B IS POS OR NEG. NO FRACTIONS.
9. WHAT IS THE FORMULA FOR SLOPE IN STANDARD FORM?
• REMEMBER THE IT'S OPPOSITE OF A.
10. WHAT IS X INTERCEPT IN STANDARD FORM?
11. WHAT IS THE Y INTERCEPT IN STANDARD FORM?
12. 91=?
9

If the exponent is 1, then you just have the number itself.
13. 9= ?

If the exponent is 0, then you get 1.

But what about 00 ? It could be either 1 or 0, and so people say it is "indeterminate".
14. 51 = ?
5
15. 50 = ?
1
16. 5-1 = ?
1 / 5 = 0.2

start with "1" and then multiply (POS EXP) or divide (NEG EXP)as many times as the exponent says, then you will get the right answer.
17. 5-2 = ?
1 / 5 / 5

• 1/ 5 = 0.2 THEN DIVIDE 0.2 BY 5 AGAIN
• 0.2 / 5 = .04

• -----OR----
• MULTIPLY 5*5 = 25 THEN RECIPROCATE 1/25 NOW DIVIDE IT. = .04
18. 8-1 = ?
8-1 = 1 ÷ 8 = 0.125
19. 5-3 =?
5-3 = 1 ÷ 5 ÷ 5 ÷ 5 = 0.008

•  5-3 could also be calculated like:
• 1 ÷ (5 × 5 × 5) = 1/53 = 1/125 = 0.008
20. 10-3 = ?
•  1 / 103 = 1/1,000 = 0.001
21. (-2)-3 = ?
•  1 / (-2)3 = 1/(-8) = -0.125

(-2) * (-2) = (4) * (-2) = (-8)

• With ()  (-2)^2 = (-2) × (-2) = 4
• Without ()  -2^2 = -(22) = - (2 × 2) = -4
22. (-2)2 = ?
(-2)2 = (-2) × (-2) = 4

WITH () THINK INDIVIDUALLY GROUPED.
23. -22 =?
-22 = -(22) = - (2 × 2)-4

THINK GROUPED TOGETHER!

24. (ab)2 =?
(ab)2 = ab × ab

WITH () YOU APPLY EXP TO ALL INSIDE!

25. ab2 =?
•  ab2 = a × (b)2 = a × b × b
• WITHOUT () ONLY APPLY EXP TO THE CLOSEST BASE.
26. QUICK! NEG OR POS ANSWER: (-3)^5
NEG. ODD EXP!!

(-3)5 = (-3) × (-3) × (-3) × (-3) × (-3) = -243
(The product of an odd number of negatives is negative)
27. What is the value of (-2)-5  ?
(-2)-5

= -0.03125
28. What is the value of (-5)-3  ?
YES YOU CAN HAVE A NEGATIVE RECIPROCAL!

• THE POINT HERE IS THE RECIPROCAL OF 8.
• Find the reciprocal of a whole number by placing the number over one and flipping the numerator and denominator to create the reciprocal fraction.

29. What is the value of 22 - 2-2 ?
22 = 2 × 2 = 4

So
22 - 2-2 = 4 - 0.25 = 3.75
30. WHEN YOU SEE A NEGATIVE EXP, WHAT IS THE 1ST THING YOU THINK ABOUT?
IT'S GOING TO BE A DECIMAL!!

 Author: shockwave ID: 262661 Card Set: TAP MATH 3 Updated: 2014-02-24 17:55:57 Tags: TAP MATH Folders: TAP MATH 3 Description: TAP MATH 3 Show Answers: