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Answers
Answer:
i)
1) a)10000001
2) c) natural numbers
3) a)1000 crores
4) a)commutative property under addition
5) a) =
ii)
a) -91
b)-25
c) first blank___ 463 and second blank 209
d)165
e)99999999
iii)
a) 450-[70+{100-50-30}]
=450-[70+{100-80}]
=450-[70+20]
=450-90
=360
b) face value = 5 and place value = lakh
c)We know that greatest digit no. is
999999999
Let's divide this number by 15
=> the remainder is equal to 9
Show the number perfectly divisible by 15 will be 999999999 - 9 as it is the remainder
Therefore the greatest 9 digit number which perfectly divisible by 15 is 999999990
iv)
Total number of pages
= Number of books * Number of pages in each book
= 102987 * 168
= 17301816
The last two digits make the number 16 and 16 is nearer to 20 than it is to 10.
So the estimated value of 17301816 is 17301820.
v)
(52+[-21])-(-25+38)
52-21+25-38
18.
Step-by-step explanation:
Answer:
Let S
n
be the sum of n terms of an AP with first term a and common difference d. Then
S
n
=
2
n
(2a+(n−1)d)
putting n=5 in S
n
, we get
S
5
=
2
5
(2a+4d)⇒S
5
=5(a+2d) ...(1)
putting n=7 in S
n
, we get
S
7
=
2
7
(2a+6d)⇒S
7
=7(a+3d) ...(2)
Adding (1) and (2), we get
12a+31d=167 ...(3)
Now,S
10
=235⇒
2
10
(2a+9d)=235
⇒2a+9d=47 ...(4)
On applying 6×(4)−(3), we get
23d=115⇒d=5
Putting d=5 in (3), we get
12a=167−31×5⇒a=1
Therefore, Required sum S
20
=
2
20
[2×1+(20−1)×5
⇒S
20
=10[2+95]
⇒S
20
=970