Question 13 of 31intermediate🔧 ApplyShort Answer2 marks

The digital root of an 8-digit number is 5. What will be the digital root of 10 more than that number?

Correct Answer

Given: Digital root of the 8-digit number = 5

Formula: Digital root of sum = Digital root of (digital root of first + digital root of second)

Calculation: Digital root of 10 = 1 + 0 = 1 Digital root of (n + 10) = Digital root of (5 + 1) = Digital root of 6 = 6

Answer: The digital root of 10 more than the number will be 6.

Exercise: Figure it Out (Section 3) | Q: 1 | (Page Page 20)
For More Understanding

Explanation

The chapter explains that the digital root of a number is obtained by repeatedly adding digits until a single digit is obtained. The digital root of 10 is 1 + 0 = 1. When adding two numbers, the digital root of the sum equals the digital root of (digital root of first + digital root of second). So, digital root of (n + 10) = digital root of (5 + 1) = digital root of 6 = 6.

Solution Steps

  1. Digital root of original number = 5

  2. Digital root of 10 = 1 + 0 = 1

  3. Digital root of sum = digital root of (5 + 1) = 6

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