In golf shooting par is scored as a 0. A score of 2 below par is called an eagle. Jacobs friend Michelle scored an eagle on each of her first five holes. Explain how you would use addition to find the product of-2 and 5 using the integer tiles and the number line

Kindly check explanation

Step-by-step explanation:

Using the integer tiles :

Drawing 2 tiles each time an eagle is obtained, this gives:

-2 + - 2 + - 2 + - 2 + - 2 = - 10

Using the number line,

Each unit on the number line = - 2

Any time an eagle scored ; take a unit step to the left.

This give ls a unit step 5 times

-2 + - 2 + - 2 + - 2 + - 2 = - 10

Using direct multiplication :

-2 * 5 = - 10 as it means - 2 in 5 places ; similarly, scoring - 2 five times will give - 10

Also note :

Either - 2 * 5 or - 5 * 2 is the same due to commutativity property of multiplication

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.