Find the square roots by division method 1294
Answers
Answer:
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Step-by-step explanation:
Step 1)
Set up 1294 in pairs of two digits from right to left and attach one set of 00 because we want one decimal:
12 94 00
Step 2)
Starting with the first set: the largest perfect square less than or equal to 12 is 9, and the square root of 9 is 3. Therefore, put 3 on top and 9 at the bottom like this:
3
12 94 00
9
Step 3)
Calculate 12 minus 9 and put the difference below. Then move down the next set of numbers.
3
12 94 00
9
3 94
Step 4)
Double the number in green on top: 3 × 2 = 6. Then, use 6 and the bottom number to make this problem:
6? × ? ≤ 394
The question marks are "blank" and the same "blank". With trial and error, we found the largest number "blank" can be is 5. Replace the question marks in the problem with 5 to get:
65 × 5 = 325.
Now, enter 5 on top, and 325 at the bottom:
3 5
12 94 00
9
3 94
3 25
Step 5)
Calculate 394 minus 325 and put the difference below. Then move down the next set of numbers.
3 5
12 94 00
9
3 94
3 25
0 69 00
Step 6)
Double the number in green on top: 35 × 2 = 70. Then, use 70 and the bottom number to make this problem:
70? × ? ≤ 6900
The question marks are "blank" and the same "blank". With trial and error, we found the largest number "blank" can be is 9. Now, enter 9 on top:
3 5 9
12 94 00
9
3 94
3 25
0 69 00
That's it! The answer is on top. The square root of 1294 with one digit decimal accuracy is 35.9. Did you notice that the last two steps repeat the previous two steps. You can add decimals by simply adding more sets of 00 and repeating the last two steps over and over.
Answer:
the square roots by division method 1294
Step-by-step explanation:
hope it will be helpful to you
