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3 years ago

Add the following decimals.

Mathematics

2 answers:

Natalija [7]3 years ago

3 0

a. 1.104

b. 1.2

c. 0.8382

d. 1.225

e. 0.8932

f. 1.4381

g. 79.92

h. 45.573

valkas [14]3 years ago

3 0

Answer:

a. 1.104 , b. 1.2 , c. 0.8382 , d. 1.225 , e. 0.8932 , f. 1.4381 , g. 79.92 , h. 45.573

Step-by-step explanation:

In order to add decimal numbers, first we convert unlike decimals into like decimals i.e decimal numbers having same no. of digits on right side of decimal.

a. $0.654+0.45=0.654+0.450=1.104$

b. $0.9+0.3=1.2$

c. $0.004+0.8342=0.0040+0.8342=0.8382$

d. $0.98+0.245=0.980+0.245=1.225$

e. $0.04+0.8532=0.0400+0.8532=0.8932$

f. $0.57+0.436+0.4321=0.5700+0.4360+0.4321=1.4381$

g. $1.54+45.6+32.78=1.54+45.60+32.78=79.92$

h. $35.78+0.6+4.3+4.893=35.780+0.600+4.300+4.893=45.573$

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see the attached figure with the letters

1) find m(x) in the interval A,B
A (0,100) B(50,40) -------------- > p=(y2-y1(/(x2-x1)=(40-100)/(50-0)=-6/5
m=px+b---------- > 100=(-6/5)*0 +b------------- > b=100
mAB=(-6/5)x+100

2) find m(x) in the interval B,C
B(50,40) C(100,100) -------------- > p=(y2-y1(/(x2-x1)=(100-40)/(100-50)=6/5
m=px+b---------- > 40=(6/5)*50 +b------------- > b=-20
mBC=(6/5)x-20

3) find n(x) in the interval A,B
A (0,0) B(50,60) -------------- > p=(y2-y1(/(x2-x1)=(60)/(50)=6/5
n=px+b---------- > 0=(6/5)*0 +b------------- > b=0
nAB=(6/5)x

4) find n(x) in the interval B,C
B(50,60) C(100,90) -------------- > p=(y2-y1(/(x2-x1)=(90-60)/(100-50)=3/5
n=px+b---------- > 60=(3/5)*50 +b------------- > b=30
nBC=(3/5)x+30

5) find h(x) = n(m(x)) in the interval A,B
mAB=(-6/5)x+100
nAB=(6/5)x
then
n(m(x))=(6/5)*[(-6/5)x+100]=(-36/25)x+120
h(x)=(-36/25)x+120
find <span>h'(x)
</span>h'(x)=-36/25=-1.44

6) find h(x) = n(m(x)) in the interval B,C
mBC=(6/5)x-20
nBC=(3/5)x+30
then
n(m(x))=(3/5)*[(6/5)x-20]+30 =(18/25)x-12+30=(18/25)x+18
h(x)=(18/25)x+18
find h'(x)
h'(x)=18/25=0.72

for the interval (A,B) h'(x)=-1.44
for the interval (B,C) h'(x)= 0.72

<span> h'(x) = 1.44 ------------ > not exist</span>

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