Explain how you would use addition to find the product of –2 and 5 using the integer tiles and the number line.

Answer with explanation:

We have to find the product of →: -2 × 5, using addition.

1. Product of -2×5 using addition →With the Help of Integer tiles

Draw two tiles of same color and same size , which can be either Square or Rectangle ,either in five rows five times by putting addition sign between two rows or after every two tiles or in the same column five times by putting addition sign after every two tiles.

If you add all these tiles , which will be equal to 10 in both the case, and put negative sign before it to obtain the result.

2. Product of -2×5 using addition on the→Number line                           →Draw a  line, mark numbers 0,2,4,6...on right side and,-2,-4,-6,-8,...on the left of number line .                                 We have to find the product of , -2 × 5 or -5 ×2

Multiplication shows commutative property, which is →A × B= B ×A

→Mark circle on 0, and move a distance of 2 units, five times on the left of 0, on the number line to get the desired result.

→→The Second way is to , mark arc on the number 0 ,  and move distance of  5 units on the left of number line twice, to get the desired result.

Image showing above procedure is shown below.

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk