algebra

$Classes$ $Class Table$

$library$

Algebra


Day 3, WarmUp Exercises Meaning of "A Number" Day 4, WarmUp Exercises Algebra - a mathematics of constants & variables Multiplication Symbols Multiplication & Division of Signed Numbers Exercises

Day 3- Warm Up

RECOPY WHATEVER YOU DON’T SIMPLIFY
ANY NUMBER TO THE ZERO POWER, OTHER THAN ZERO, IS 1.
THINK MONEY! (WHEN COMPUTING FRACTIONS).
Simplify.: 1.)
MouseOver for answer:
work 7^0 + 3(2 + 8^1)(4 ÷ 8) - sqrt(13^2 - 12^2) ÷ 2 1 + 3(2 + 8)(4 / 8) - sqrt(169 - 144) ÷ 2 1 + 3(10)(1/2) - sqrt(25) ÷ 2 1 + 30(1/2) - 5 ÷ 2 1 + 15 - 2.5 16 - 2.5 13.5; 2.) 0 ÷ 4 3.) 4 ÷ 0 4.) 2 ÷ 4; 5.) (4 ÷ 12)(3 - 4⁰) 6.)

A Number


“a number” = “ x” or y, z, a, b, a variable number not 2,3, 5 a constant number

A Number

“a number” = “ x” or y, z, a, b, a variable number not 2,3, 5 a constant number: or y, z, a, b, a variable number; not 2,3, 5 a constant number

For additional info, read "A Number" Doesn't Mean "Any Old Number." Algebra begins with this idea. Yes, all the rules of arithmetic hold in algebra, but, the most important idea of variable is introduced.

For additional info, read Know The Invisible (Understood) Ones. Yes, it looks like an "x" but the invisible ones surrounding the "x" facalitate computation. Examine the understood but unwritten coefficient, exponent, and divisor of 1.

Day 4, WarmUp Exercises

Simplify: 1.) [(4 + 2)²(3 - 1) ÷ 8 - 3²] ÷ 9
work [(4 + 2)2(3 - 1) ÷ 8 - 32] ÷ 9 [(6)2(2) ÷ 8 - 9 ] ÷ 9 [(36)(2) ÷ 8 - 9 ] ÷ 9 [ (72) ÷ 8 - 9 ] ÷ 9 [ 9 - 9 ] ÷ 9 [ 0 ] ÷ 9 0/9 means 0 pieces, 9 equal pieces in one whole, 0 9/0 means 9 pieces, 0 equal pieces in one whole, undefined [ 0 ] ÷ 9 = 0; 2.) 4 + 4² + 4⁰ + 4¹
work sqrt(4) + 4^2 + 4^0 + 4^1 2 + 4^2 + 4^0 + 4^1 2 + 16 + 1 + 4 18 + 1 + 4 19 + 4 23; 3.)
work (19 - 6(2))/sqrt(25) (19 - 12))/5 7/5 1.4

Algebra - a mathematics of constants & variables

algebra - a mathematics of variables rather than a mathematics with only constant numbers.

Numbers
constants 1 0 -1 9 2 18.2 20/10 2.3 1 =1 2 is about 1.414 3 is about 1.732 4 = 2	variables x n y z a b this.form.c.value

Multiplication Symbols

Signed Number Multiplication or Division

Multiplication or Division: (+)(-) = (-); (-)(-) = (+); (+)(+) = (+); (-)(+) = (-)
Count the number or negative signs to be multiplied or divided.: If you have an ODD number of NEGATIVE SIGNS the result is NEGATIVE.; If you have an EVEN number of NEGATIVE SIGNS the result is POSITIVE.

Exercises

Simplify. MouseOver for answers.: 1. (- 3)(- 2)÷(- 1); 2. (-3)(4); 3. - 5(6 - 2); 4. (-5)²; 5. - 5²

$[MC,i. Home]$ $[Table]$ $[Words]$ $Classes$

[Good Stuff -- free & valuable resources]

Algebra

“a number” = “ x” or y, z, a, b, a variable number not 2,3, 5 a constant number

“a number” = “ x” or y, z, a, b, a variable number not 2,3, 5 a constant number

“a number” = “ x”
or y, z, a, b, a variable number
not 2,3, 5 a constant number

“a number” = “ x”
or y, z, a, b, a variable number
not 2,3, 5 a constant number