Question

Express these numerals in the expanded form of power 10. (4) a. 5060 b.6079000 2. How many millions are there in 3 crore?(1) 3.What is the greatest number of 6 digits?(1) 4.What is the least number formed by 5 digits 4,1,8,0,7?(1) 5. Simplify: a. 18 - 7 + 9* 48/6 - 5 (1) b. 72/ 12 [ 180/4{10 +(15 - 45 /9*2)}]

Answer 1

`a)\ 5.06 * 10\³`

`b)\ 6.079 * 10^6`

`c)\ 3\ crore = 30\ million`

`d)\ 999999`

`e)\ 10478`

`f)\ 78`

`g)\ 2730`

Explanation:

Solving (a): 5060 as a power of 10

We simply move the decimal between 5 and 6. The number of zeros to move backward is 4.

So,

`5 0 6 0 = 5.06 * 10^3`

Solving (b): 6079000 as a power of 10

We simply move the decimal between 6 and 0. The number of zeros to move backward is 4.

So,

`6079000 = 6.079 * 10^6`

Solving (c): 3 crore to millions

`1\ crore = 10\ million`

Multiply by 3

`3\ crore = 30\ million`

Solving (d): The greatest 6 digits

The greatest unit digit is 9. So, we simply write out 9 in 6 places

`Greatest= 99999`

Solving (e): The least 5-digit formed from 4,1,8,0,7

To do this, we start the number from the smallest non-zero digit.

The remaining 4 digits will then be in an increasing order

So, we have:

`Least = 10478`

Solving (f):

`18 - 7 + 9 * (48)/(6) - 5`

Using BODMAS

Evaluate the division, first

`18 - 7 + 9 * 8 - 5`

Then multiplication

`18 - 7 + 72 - 5`

Add up the remaining digits

`78`

Solving (g): This question is not clear.

I will assume the expression is:

`(72)/( 12)* [ (180)/(4)*{10 +(15 - (45)/(9)*2)}]`

Evaluate all divisions

`6* [ 45*{10 +(15 - 5*2)}]`

Solve the multiplication in brackets

`6* [ 45*{10 +(15 - 10)}]`

Remove the inner bracket

`6* [ 45*{10 +5}]`

Evaluate 45 * 10

`6* [ 450 +5}]`

Remove the bracket

`6* 455`

Multiply

`2730`