Answer:
1. >; 2. >
Step-by-step explanation:
1.
⅜ (?) 0.295 Convert ⅜ to a decimal fraction
0.375 (?) 0.295
We can use a <em>number line</em> to decide which number is greater.
In Fig. 1 below, when we go from 0.295 to 0.375, we are moving to the <em>RIGHT</em>, so 0.375 is greater than 0.295.
0.375 > 0.295
2.
-0.770 (?) -4/5 Convert ⅘ to a decimal fraction
-0.770 (?) -0.800
In Fig. 2 below, when we go from -0.80 to -0.77, we are moving to the <em>RIGHT</em>, so -0.770 is greater than -0.800.
-0.770 > -0.800
To factor first multily 100 and 1 and get 100
then find what 2 numbers multiply to get 100 and add to get 20
the numbers are 10 and 10
so
split the center term up
100x^2+10x+10x+1
group
(100x^2+10x)+(10x+1)
undistribute
(10x)(10x+1)+(1)(10x+1)
undistribute/reverse distributive property
(10x+1)(10x+1)
(10x+1)^2