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Ratio and Proportion | Exercise

Question 23

20g : 100g = 1metre : 500cm

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  • Solution

  • Transcript

True

Consider the given ratio, 20g : 100g = 1metre : 500cm

20/100 = 1/500

We know that, 1 meter = 100 cm

So, 20g: 100g = 100cm : 500 cm

20/100 = 100/500

20/100 is further simplified by dividing both numerator and denominator by 20 we get,

= 1/5

100/500 is further simplified by dividing both numerator and denominator by 100 we

get,

= 1/5

Hence, 1/5 = 1/5

Therefore, 20g : 100g = 1metre : 500cm

"hello students welcome to little q a video session i am sev your maths tutor and question for today is simplify each of the following expressions first 3 plus root 3 into 2 plus root 2 second 3 plus root 3 into 3 plus root 3 third root 5 plus root 2 whole square fourth root 5 minus root 2 root 5 plus root 2 so we'll solve each one of them one by one let us take first one in the first one your question is 3 plus root 3 and 2 plus root 2 these are the two brackets in the multiplication let us open the bracket so 3 first and then you have 2 plus root 2 then there is a plus root 3 and again 2 plus root 2 this is how we open this bracket so 6 plus 3 root 2 plus 2 root 3 plus root 2 into root 3 and this will give you 6 plus 3 root 2 plus 2 root 3 plus root 6. hence this is our answer for this question in the second question it has been asked 3 plus root 3 into 3 plus root 3 so these are those two similar brackets let us take 3 plus root 3 as 3 plus root 3 whole square these are the two multiplications 3 plus root 3 plus root 3 which is 3 plus root 3 whole square so now we can apply the formula of a plus b whole square that is 3 square plus 2 into 3 into root 3 plus root 3 whole square p square is 9 6 root 3 plus 3 so 12 plus 6 root 3 is the answer for this third one root 5 plus root 2 whole square so a plus b whole square which is root 5 square plus 2 root 5 into root 2 plus root 2 whole square so 5 plus 2 root of 10 plus 2 so 7 plus 2 root 10 is the answer for this this is how we simplify fourth one root 5 minus root 2 root 5 plus root 2 which is a minus b a plus b which is a square minus b square hence root 5 whole square minus root 2 whole square this will give you 5 minus 2 and that is 3 so this is our final simplification for all four if you have any query you can drop it in our comment section and subscribe to lido for more such q a thank you for watching "

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Question 23

20g : 100g = 1metre : 500cm

  • Solution

  • Transcript

True

Consider the given ratio, 20g : 100g = 1metre : 500cm

20/100 = 1/500

We know that, 1 meter = 100 cm

So, 20g: 100g = 100cm : 500 cm

20/100 = 100/500

20/100 is further simplified by dividing both numerator and denominator by 20 we get,

= 1/5

100/500 is further simplified by dividing both numerator and denominator by 100 we

get,

= 1/5

Hence, 1/5 = 1/5

Therefore, 20g : 100g = 1metre : 500cm

"hello students welcome to little q a video session i am sev your maths tutor and question for today is simplify each of the following expressions first 3 plus root 3 into 2 plus root 2 second 3 plus root 3 into 3 plus root 3 third root 5 plus root 2 whole square fourth root 5 minus root 2 root 5 plus root 2 so we'll solve each one of them one by one let us take first one in the first one your question is 3 plus root 3 and 2 plus root 2 these are the two brackets in the multiplication let us open the bracket so 3 first and then you have 2 plus root 2 then there is a plus root 3 and again 2 plus root 2 this is how we open this bracket so 6 plus 3 root 2 plus 2 root 3 plus root 2 into root 3 and this will give you 6 plus 3 root 2 plus 2 root 3 plus root 6. hence this is our answer for this question in the second question it has been asked 3 plus root 3 into 3 plus root 3 so these are those two similar brackets let us take 3 plus root 3 as 3 plus root 3 whole square these are the two multiplications 3 plus root 3 plus root 3 which is 3 plus root 3 whole square so now we can apply the formula of a plus b whole square that is 3 square plus 2 into 3 into root 3 plus root 3 whole square p square is 9 6 root 3 plus 3 so 12 plus 6 root 3 is the answer for this third one root 5 plus root 2 whole square so a plus b whole square which is root 5 square plus 2 root 5 into root 2 plus root 2 whole square so 5 plus 2 root of 10 plus 2 so 7 plus 2 root 10 is the answer for this this is how we simplify fourth one root 5 minus root 2 root 5 plus root 2 which is a minus b a plus b which is a square minus b square hence root 5 whole square minus root 2 whole square this will give you 5 minus 2 and that is 3 so this is our final simplification for all four if you have any query you can drop it in our comment section and subscribe to lido for more such q a thank you for watching "

Our top 5% students will be awarded a special scholarship to Lido.

subject-cta
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