567,009 square root by division method
Answers
Answer:
Step 1)
Set up 5679 in pairs of two digits from right to left and attach one set of 00 because we want one decimal:
56 79 00
Step 2)
Starting with the first set: the largest perfect square less than or equal to 56 is 49, and the square root of 49 is 7. Therefore, put 7 on top and 49 at the bottom like this:
7
56 79 00
49
Step 3)
Calculate 56 minus 49 and put the difference below. Then move down the next set of numbers.
7
56 79 00
49
7 79
Step 4)
Double the number in green on top: 7 × 2 = 14. Then, use 14 and the bottom number to make this problem:
14? × ? ≤ 779
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:
145 × 5 = 725.
Now, enter 5 on top, and 725 at the bottom:
7 5
56 79 00
49
7 79
7 25
Step 5)
Calculate 779 minus 725 and put the difference below. Then move down the next set of numbers.
7 5
56 79 00
49
7 79
7 25
0 54 00
Step 6)
Double the number in green on top: 75 × 2 = 150. Then, use 150 and the bottom number to make this problem:
150? × ? ≤ 5400
The question marks are "blank" and the same "blank". With trial and error, we found the largest number "blank" can be is 3. Now, enter 3 on top:
7 5 3
56 79 00
49
7 79
7 25
0 54 00
That's it! The answer is on top. The square root of 5679 with one digit decimal accuracy is 75.3. 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.
Step-by-step explanation:
Answer:
753
square root
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