In rounding off numbers, if the first figure dropped is 5, and all the figures following the five are zero or if there are no figures after the 5, then the last figure kept should be increased by 1 if that last figure is odd. For example, if only two decimals are to be kept, then 6.755000 becomes 6.76.

What does greatest place value mean? THE GREATEST OR HIGHEST PLACE VALUE IS THE DIGIT FARTHEST TO THE LEFT IN A NUMBER. IT COULD BE ANY NUMBER EXCEPT ZERO. LOOK AT THE NUMBER 3654. The 3 is the greatest or highest place value number because it is the digit farthest to the left.

The greatest place value position where the digits differ is, Hundredths.

In order to round each value to the greatest place value, look at the second digit in the number. If it is 5 or higher, then the first number becomes one greater, and the rest of the digits become zeros. If it is 4 or lower, then the first number stays the same, and the rest of the numbers become zeros.

In general, to round to a certain place value, look at the digit to the right of that place value and make a decision. Example: 5.1837 to the nearest hundredth would be 5.18 (round down since 3<5 ), but to the nearest thousandth, it is 5.184 (round up because 7≥5 ).

The tie-breaking rule means that “more” round up than down. Because everyone prefers even numbers. Rounding 5 up means that as many numbers are rounded up as are rounded down. If you consider single-digit numbers, then 0, 1, 2, 3, 4 are rounded down, and 5, 6, 7, 8 and 9 are rounded up.

If the highlighted digit is 5, 6, 7, 8, 9 add one to the rounding digit and drop all digits to the right of rounding digit. Example: 2.786 may be rounded off to 2.79 when rounded off to the nearest hundredths place.

Rounding rules When rounding to the nearest hundred, look at the TENS DIGIT of the number. If the tens digit is 0, 1, 2, 3, or 4, you will round down to the previous hundred. Notice: the hundreds digit does not change. If that digit is 5, 6, 7, 8, or 9, you will round up to the next hundred.

800

3

It’s common to round numbers in scientific notation, and when you round to the greatest place value, you round the digit before the decimal and omit all the other digits.

50,000

Here’s the general rule for rounding: If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

When you round, everything to the right of the given place value becomes a zero, and the digit in the given place value either stays the same or rounds up one. Trailing zeros after the decimal point should be dropped. Round 10.473 to the nearest tenth.

Remember that “rounding off” a zero does not change the value of the number being rounded off. Suppose you had a very large sample of numbers to round off. When rounding, you examine the digit following (i.e., to the right of) the digit that is to be the last digit in the rounded off number.

When rounding a number you will “round up” or “round down”. When the number you are rounding is between 0-4, you round down to the next lowest number. When the number is 5-9, you round the number up to the next highest number. When we round a number, we round it to the nearest place value.

since we are looking for the smallest number, the somethings must be zeros. That means the smallest number rounding up to 80000 in the thousands column is 79500.

44,567 the thousand place is less than 4, hence it will rounded to the nearest thousand 40,000.

How to Round Numbers

1. Decide which is the last digit to keep.
2. Leave it the same if the next digit is less than 5 (this is called rounding down)
3. But increase it by 1 if the next digit is 5 or more (this is called rounding up)

Rounding numbers makes them simpler and easier to use. Although they’re slightly less accurate, their values are still relatively close to what they originally were. People round numbers in many different situations, including many real-world situations you’ll find yourself in on a regular basis.

If the digit to the right of the rounding digit is 0, 1, 2, 3, or 4, the rounding digit is not changed, and the number is said to be rounded down. If the rounding digit is followed by 5, 6, 7, 8, or 9, the rounding digit is increased by one, and the number is rounded up.

If you use Roundup formula, instead of rounding the number to the closest number, it will round the decimal up. If you use Rounddown formula, the formula will round the number down.

This familiar rule is used by many rounding methods. If the difference between the number and the nearest integer is exactly 0.5, look at the integer part of the number. If the integer part is EVEN, round towards zero. If the integer part of the number is ODD, round away from zero.

6.5 Rounded to the Nearest Whole Number