Digital roots can also be used to check our multiplication answers. Just as for addition and subtraction, we do the problem, then find the product of the digital roots of the numbers multiplied and compare it with the digital root of the product obtained. Example: Multiply 345 x 26 and check the answer. ■ 345 x 26 = 8970 ■ Digital root of 345 is 3 ■ Digital root of 26 is 8 ■ Product of the digital roots is 3 x 8 = 24 = 6 ■ Digital root of 8970, the answer obtained, is 6 ■ Since the product of the digital roots of the given problem is equal to the digital root of the answer our calculation is correct. Let us summarise what we have learned about digital roots in the last articles: - To check an addition result, add the digital roots and compare with the digital root of the answer. - To check a subtraction result, subtract the digital roots and compare with the digital root of the answer. In case you need to subtract a bigger number from a smaller one add 9 to the smaller number and continue. - To check multiplication results, multiply the digital roots and compare with the digital root of the answer. The next operation that we often use and need to check is division. Normally we check by multiplying the quotient and divisor and adding the remainder, which should give us the dividend. To be more specific: Quotient (Q) Divisor (D) Dividend (P) Remainder (R) Q x D + R should equal P We can do the same checking using digital roots. This makes our calculation easier. Example: Divide 4521 by 6 and check the answer. 7 5 3 (Q) Our problem is 6 4 5 2 1 done like this, 4 2 3 2 3 0 2 1 1 8 3 (R) In the traditional method, we can check our calculations as shown below: 753 x 6 + 3 = 4521 However, the digital roots method is much easier. ■ Digital root of 753 is 6 ■ So instead of multiplying 753 by 6 multiply its digital root by 6, so that 6 x 6 = 36 which can be further reduced as 3 + 6 = 9. ■ Then 9 + 3 = 12 = 3 ■ The digital root of 4521 is 3 ■ Since the digital roots are the same, our answer is correct. Example: 6549 / 28 Dividend (P) is 6549, divisor (D) is 28, quotient (Q) is 233 and remainder (R) is 25. Traditional checking: 233 x 28 + 25 = 6549 Checking with digital roots: ■ Digital root of 233 is 8 ■ Digital root of 28 is 1 ■ 8 x 1 + 7 = 6 ■ Digital root of 6549 is 6 So our answer is correct.
Digital roots can also be used to check our multiplication answers. Just as for addition and subtraction, we do the problem, then find the product of the digital roots of the numbers multiplied and compare it with the digital root of the product obtained. Example: Multiply 345 x 26 and check the answer. ■ 345 x 26 = 8970 ■ Digital root of 345 is 3 ■ Digital root of 26 is 8 ■ Product of the digital roots is 3 x 8 = 24 = 6 ■ Digital root of 8970, the answer obtained, is 6 ■ Since the product of the digital roots of the given problem is equal to the digital root of the answer our calculation is correct. Let us summarise what we have learned about digital roots in the last articles: - To check an addition result, add the digital roots and compare with the digital root of the answer. - To check a subtraction result, subtract the digital roots and compare with the digital root of the answer. In case you need to subtract a bigger number from a smaller one add 9 to the smaller number and continue. - To check multiplication results, multiply the digital roots and compare with the digital root of the answer. The next operation that we often use and need to check is division. Normally we check by multiplying the quotient and divisor and adding the remainder, which should give us the dividend. To be more specific: Quotient (Q) Divisor (D) Dividend (P) Remainder (R) Q x D + R should equal P We can do the same checking using digital roots. This makes our calculation easier. Example: Divide 4521 by 6 and check the answer. 7 5 3 (Q) Our problem is 6 4 5 2 1 done like this, 4 2 3 2 3 0 2 1 1 8 3 (R) In the traditional method, we can check our calculations as shown below: 753 x 6 + 3 = 4521 However, the digital roots method is much easier. ■ Digital root of 753 is 6 ■ So instead of multiplying 753 by 6 multiply its digital root by 6, so that 6 x 6 = 36 which can be further reduced as 3 + 6 = 9. ■ Then 9 + 3 = 12 = 3 ■ The digital root of 4521 is 3 ■ Since the digital roots are the same, our answer is correct. Example: 6549 / 28 Dividend (P) is 6549, divisor (D) is 28, quotient (Q) is 233 and remainder (R) is 25. Traditional checking: 233 x 28 + 25 = 6549 Checking with digital roots: ■ Digital root of 233 is 8 ■ Digital root of 28 is 1 ■ 8 x 1 + 7 = 6 ■ Digital root of 6549 is 6 So our answer is correct.
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