Question 4 Squares and Square Roots Exercise 3.5 Next
Answer:
We know that the greatest 5 digit number is 99999 By using long division method The remainder is 143 So, the greatest 5 digit perfect square number is: 99999 – 143 = 99856 ∴ 99856 is the required greatest 5 digit perfect square number.
Was This helpful? Numerals are the mathematical figures used in financial, professional as well as a social field in the social world. The digits and place value in the number and the base of the number system determine the value of a number. Numbers are used in various mathematical operations as summation, subtraction, multiplication, division, percentage, etc. which are used in our daily businesses and trading activities. What are numbers? Numbers are used in various arithmetic values applicable to carry out various arithmetic operations like addition, subtraction, multiplication, etc. which are applicable in daily lives for the purpose of calculation. The value of a number is determined by the digit, its place value in the number, and the base of the number system.
Numbers are the mathematical values or figures used for the purpose of measuring or calculating quantities. It is represented by numerals as 2,4,7, etc. Some examples of numbers are integers, whole numbers, natural numbers, rational and irrational numbers, etc. Types Of NumbersThere are different types of numbers categorized into sets by the number system. The types are described below:
What are Whole Numbers?The whole numbers are the numbers without fractions and are a collection of positive integers from 0 to infinity. All the whole numbers exist in number lines. All the whole numbers are real numbers but we can’t say that all the real numbers are whole numbers. Whole numbers cannot be negative. The whole numbers are represented by the symbol “W”. Examples of whole Numbers Natural numbers are also known as counting numbers including zero are parts of whole numbers, such as 0,1,2,3,4,5, etc. excluding negative integers, fractions, and decimals. 0, 15, 16, 76, and 110, etc. all are examples of whole numbers. Answer:
Similar QuestionsQuestion 1: Is 13/19 a whole number? Answer:
Question 2: What is the smallest 3-digit whole number? Answer:
Question 3: What is the smallest 5 digit whole number? Answer:
Question 4: What is the smallest whole number? Answer:
Answer Hint: We know that the greatest 5 digit number is 99999, but we have to find the greatest 5 digits number that will give remainder of 5, when divided by 8 and 9 respectively. For this we take L.C.M of 8 and 9 and divide the number 99999.Complete step-by-step answer:We know that the greatest 5 digit number is 99999.Now, we have to find the greatest 5 digit number that will give a remainder of 5, when divided by 8 and 9 respectively.So, L.C.M of 8 and 9 is shown below: - \[\begin{align} & 8=2\times 2\times 2 \\ & 9=3\times 3 \\ \end{align}\]L.C.M = \[2\times 2\times 2\times 3\times 3=72\].Hence, the L.C.M of 8 and 9 is 72.Now, we will find the greatest 5 – digit number divisible by 8 and 9 by dividing 99999 by 72.The division of 99999 by 72 is shown as below: -\[72\overset{1388}{\overline{\left){\begin{align} & 99999 \\ & \underline{-72} \\ & 279 \\ & \underline{-216} \\ & 639 \\ & \underline{-576} \\ & 639 \\ & \underline{-576} \\ & 63 \\ \end{align}}\right.}}\]So, from the above division we get,Quotient = 1388Remainder = 63So, the greatest 5 – digit number divisible by 8 and 9 = 99999 – 63 = 99936.Required number = 99936 + 5 = 99941\[\because \] We have been given that a remainder of 5 is there when the number is divided by 8 and 9 respectively. So, we add the remainder to the number which is divisible by 8 and 9.Therefore, we get the greatest number of 5 digits, that will give a remainder of 5, when divided by 8 and 9 respectively is 99941.Note: Just be careful while doing calculation as there is a chance that you might make a mistake and you will get the incorrect answer. Most students make the mistake of adding the remainder to 99999 instead of subtracting it. Also, they may forget to add 5 to 99936 and often write 99936 as the final answer. |