Algebra and frequently used formulas
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- What are the first 8 digits of pi after 3.########
- 3.14159265
- From left to right starting with ten-thousandths countdown 8 places.
- ...(ten-thousands) (thousands) (hundreds) (tens) (ones)(decimal point) (tenths) (hundredths) (thousandths) (ten-thousandths)...
- What is the rule when rounding up?
- If the last numeral being rounded is 5 or higher then you round up to the next tenth
- What are the 3 basic rules for determining significant numbers?
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1) All nonzero digits are significant.
2) All zeroes between significant digits are significant.
3) All zeroes that lie to the right of the decimal point and the last nonzero digit from the right are significant. - Round 742,396 to four, three, and two significant digits...
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742,400 (four significant digits)
742,000 (three significant digits)
740,000 (two significant digits) - Round 0.07284 to four, three, and two significant digits:
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0.07284 (four significant digits)
0.0728 (three significant digits)
0.073 (two significant digits) - Round 231.45 to four, three, and two significant digits:
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231.5 (four significant digits)
231 (three significant digits)
230 (two significant digits) - when rounding addition and multiplication problems what are the basic rules?
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For adding, use "least accurate place".
For multiplying, use "least significant digits". - The Distributive Property is written how?
- a(b + c) = ab + ac
- By the distributive property how would you rearrange the problem: 4x – 8
- 4x – 8 = 4(x – 2)
- The Associative Property (or grouping/associating) is written how for addition? multiplication?
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For addition, the rule is "a + (b + c) = (a + b) + c"; in numbers, this means 2 + (3 + 4) =
(2 + 3) + 4. For multiplication, the rule is "a(bc) = (ab)c"; in numbers, this means 2(3×4) = (2×3)4. - rearrange the associative property 2(3x)
- (2×3)x
- Simplify 2(3x), and justify your steps.
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2(3x) is original (given) statement
(2×3)x by the Associative Property
6x simplification (2×3 = 6) - Explain the Commutative Property.
- Commutative comes from commute or to move around. This property doesn't ask to simplify. Only to move around
- How is the Commutative Property written?
- For addition, the rule is "a + b = b + a"; in numbers, this means 2 + 3 = 3 + 2. For multiplication, the rule is "ab = ba"; in numbers, this means 2×3 = 3×2.