Question

3. Simplify-9/42 +(-5/21)

4. What should be added to -9/11 to get 1/15

* Day 2

1. Multiply 6/13 by the reciprocal of -12/39

2. Find X+Y if X=2/5 and Y=1/2

3. Find five rational numbers between 2/7 and 5/12

4.----- is a rational number which is equal to its reciprocal

Day 3

* 1. Express 69999990 in the scientific notation

2. Find the value of m such that (3+6 + 9 + 12) = 36/25

3. Convert 5628 in standard form

4. Express in usual form 32.9 x 10

Day 4

1. Which of the following are perfect squares 256,3234, 21000​

Answer 1

Step-by-step explanation:

Solutions :-

3) Given that : -9/42 +(-5/21)

LCM of 42 and 21 = 42

=> [(-9×1)+(-5×2)]/42

=>[-9+(-10)]/42

=> (-9-10)/42

=> -19/42

-9/42 +(-5/21) = -19/42

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4) Let the required number be X

On adding X to -9/11

=> (-9/11)+X

The result = 1/15

=> (-9/11)+X = 1/15

=>X = (1/15)-(-9/11)

=> X = (1/15)+(9/11)

LCM of 15 and 11 = 165

=> X= [ (1×11)+(9×15)]/165

=>X = (11+135)/165

=> X = 146/165

The required number = 146/165

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1) Given number = 6/13 and -12/39

Reciprocal of -12/39 = -39/12

On multiplying 6/13 by the reciprocal of -12/39

=> (6/13)×(-39/12)

=>(6×-39)/(13×12)

=> -3/2

The result on multiplying 6/13 with the reciprocal of -12/39 is -3/2

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2) Given that :X=2/5 and Y=1/2

The value of X+Y = (2/5)+(1/2)

LCM of 5 and 2 = 10

=> [(2×2)+(1×5)]/10

=> (4+5)/10

=> 9/10

The value of X+Y for the given problem is 9/10

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4) 1 is a rational number which is equal to its reciprocal

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1) Given number = 69999990

On multiplying and dividing the number with 10000000

=> 69999990×(10000000/10000000)

=> (69999990/10000000)×10000000

=> 6.9999990×10000000

=> 6.9999990 × 10⁷

Scientific notation of 69999990 is

6.9999990 × 10⁷

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2) and 3) Questions is Insufficient

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4) Given number = 32.9 x 10

=> 329.0

=> 329

32.9×10 = 329

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Given number = 256

256 can be written as 16×16

256 = 16²

256 is a perfect square number.

3234, 21000 are not expressed as the product of same numbers So they are not perfect square numbers.

256 is a perfect square number.

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