Help please.! Find square root of 112 by long division method. please send me a pic tomorrow is my paper.
Answers
Step-by-step explanation:
Step : 1
Find two square numbers which lies between 112
102 = 100 and 112 = 121
SQRT(112) lies between 10 and 11
Step : 2
Divide 112 by 10.
112/10 = 11.2
Step : 3
Average 11.2 and 10
(11.2 + 10) /2 = 10.6 (if this answer is accurate, you can stop. Else repeat steps 2 and 3)
Square root of 112 is 10.6 (10.6 * 10.6 = 112.36)
HOPE it is true
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Answer:
10.583
Step-by-step explanation:
Find the largest number whose square is less than or equal to the number in the leftmost group (11 = 1). Take this number as the divisor and the quotient with the number in the leftmost group as the dividend (01). Divide and get the remainder (0 in this case).
1
1 0112
− 1
0
2.
Bring down the next pair 12. Add the divisor with the quotient and enter it with a blank on its right. Guess a largest possible digit to fill the blank which will also become the new digit in the quotient, such that when the new divisor is multiplied to the new quotient the product is less than or equal to the dividend. In this case 20 × 0 = 0, so we choose the new digit as 0. Get the remainder.
10
1 0112
+ 1 − 1
20 012
− 0
12
3. Put the decimal point.
4.
Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down the next pair 00. Add the divisor with the quotient and enter it with a blank on its right. Guess a largest possible digit to fill the blank which will also become the new digit in the quotient, such that when the new divisor is multiplied to the new quotient the product is less than or equal to the dividend. In this case 205 × 5 = 1025, so we choose the new digit as 5. Get the remainder.
10.5
1 0112.00
+ 1 − 1
20 012
+ 0 − 0
205 1200
− 1025
175
5.
Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down the next pair 00. Add the divisor with the quotient and enter it with a blank on its right. Guess a largest possible digit to fill the blank which will also become the new digit in the quotient, such that when the new divisor is multiplied to the new quotient the product is less than or equal to the dividend. In this case 2108 × 8 = 16864, so we choose the new digit as 8. Get the remainder.
10.58
1 0112.0000
+ 1 − 1
20 012
+ 0 − 0
205 1200
+ 5 − 1025
2108 17500
− 16864
636
6.
Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down the next pair 00. Add the divisor with the quotient and enter it with a blank on its right. Guess a largest possible digit to fill the blank which will also become the new digit in the quotient, such that when the new divisor is multiplied to the new quotient the product is less than or equal to the dividend. In this case 21163 × 3 = 63489, so we choose the new digit as 3. Get the remainder.
10.583
1 0112.000000
+ 1 − 1
20 012
+ 0 − 0
205 1200
+ 5 − 1025
2108 17500
+ 8 − 16864
21163 63600
− 63489
111
End of long division (up to 3 decimal places).
√112 = 10.583
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