"What is 1.7658 rounded to 3 decimal places?" is the same as asking, "What is 1.7658 rounded to three decimal points?" or "How to round 1.7658 to three decimal places."
However you phrase it, the idea is that you want to round 1.7658 to three digits (places) after the decimal point. Thus, we want to eliminate the last digit in 1.7658.
To eliminate the last digit in 1.7658, we use the following Three Decimal Places Rules to get the answer:
Three Decimal Places Rule #1: If the last digit in 1.7658 is less than 5, then remove the last digit.
Three Decimal Places Rule #2: If the last digit in 1.7658 is 5 or more, and the second to last digit in 1.7658 is less than 9, then remove the last digit and add 1 to the second to last digit.
Three Decimal Places Rule #3: If the last digit in 1.7658 is 5 or more, and the second to last digit in 1.7658 is 9, and the third to last digit is less than 9, then remove the last digit, make the second to last digit 0, and add 1 to the third to last digit.
Three Decimal Places Rule #4: If the last digit in 1.7658 is 5 or more, and the second to last digit is 9, and the third to last digit is 9, and the fourth to last digit is less than 9, then remove the last digit, make the second to last digit 0, make the third to last digit 0, and add 1 to the fourth to last digit.
Three Decimal Places Rule #5: If the last digit in 1.7658 is 5 or more, and the second to last digit is 9, and the third to last digit is 9, and the fourth to last digit is 9, then add 1 to the number on the left side of the decimal point and make the right side of the decimal point 000.
When rounding 1.7658 to three decimal places, we use Three Decimal Places Rule #2. Therefore, the answer to "What is 1.7658 rounded to 3 decimal places?" is:
1.766
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