geno3141

To have 10^18 twenty times, you have 10^18 x 20, which is 20 x 10^18  or 2 x 10^19.

You want to find the number that, when multiplied to 10^-18 will give you 2 x 10^19

Equation:  10^-18 · x  =  2 x 10^19

Divide both sides by 10^-18:          x  = 2 x 10^19 ÷ 10^-18

When you divide numbers with the same base, subtract the exponents:

                                                    x  =  2 x 10^(19 - -18)

                                                    x  =  2 x 10^37.

There's a lot in here; if you have any questions, please ask!

Use the distributive property:

(x + 3)(2x + 7)  =  (x)(2x) + (x)(7) + (3)(2x) + (3)(7)                                                                                                          =  2x² + 7x + 6x + 21                                                                                                                                =  2x² + 13x + 21   

-2x(x + 3)  =  (-2x)(x) + (-2x)(3)                                                                                                                                  =  -2x² - 6x

2x² + 13x + 21 - 2x² - 6x   =  7x + 21

To find the square root of a fraction, write the problem as a fraction of square roots:

√(25/36)  =  √25 / √36  =  5/6

pi has an infinite number of decimals; it is not infinitely large (as in, larger than all possible numbers)

Also, what the calculator gave you was an approximation, not an exact value.

The square root of 24  =  √24  =  2√6  ≈  4.898979486  is the number that, when squared, makes 24.

$13 + ($14 + $11)  =  ($13 + $14) + $11       Associative Law of Addition

Use the distributive property:

(x + 3)(2x + 7)  =  (x)(2x) + (x)(7) + (3)(2x) + (3)(7)                                                                                                          =  2x² + 7x + 6x + 21                                                                                                                                =  2x² + 13x + 21   

-2x(x + 3)  =  (-2x)(x) + (-2x)(3)                                                                                                                                  =  -2x² - 6x

2x² + 13x + 21 - 2x² - 6x   =  7x + 21

-1 = -16/16

-1 + 5/16  =  -16/16 + 5/15  =  -11/16

x - 11/16  =  6/16

x - 11/16 + 11/16  =  6/16 + 11/16

x  =  17/16

They will be easier to compare if we convert both of them to decimals:

12/49 ≈ 0.244897...

1/4 = 0.25

Is it clear which one is larger?

You can set up a proportion:  AUD / NZD  =  AUD / NZD

     1 AUD / 0.931 NZD  =  x AUD / 788 NZD

Cross multiply:  1 · 788  =  0.931 · x

                                x  =  846 AUD