Rounding and Estimating Numbers

The nearest hundred to 12108 is 12100. To round to the nearest hundred, you look at the tens digit, which is 0 in this case. Since 0 is less than 5, you round down to 12100.

The number 45 is nearest to 50 when rounding to the nearest ten. When rounding, you look at the digit in the units place, which is 5 in this case. Since 5 or above rounds up, 45 rounds to 50. Therefore, the nearest ten to 45 is 50.

The round number of 155,016 is 155,000. When rounding to the nearest thousand, you look at the hundreds digit, which is 0 in this case, so you round down. Therefore, 155,016 rounds to 155,000.

Significant digits, or significant figures, are crucial in scientific and mathematical calculations as they convey the precision of a measurement. They indicate which digits in a number are reliable and contribute to its accuracy, helping to prevent the misinterpretation of data. Using the correct number of significant digits ensures that results reflect the limitations of the measuring instruments and maintains consistency in reporting numerical values. This practice is essential for clear communication and credibility in scientific research and engineering.

When rounding 8.25 halfway, you consider the decimal portion. Since 0.25 is less than 0.5, you round down to 8. Therefore, 8.25 rounded halfway is 8.

To round 4.35 tenths by ten, you first convert it to a whole number, which is 4.35 tenths = 4.35. When rounding to the nearest ten, you consider the tens place, which is 0 in this case. Since 4.35 is much closer to 0 than to 10, it rounds down to 0.

The nearest town to Durdle Door is Lulworth Cove, located about 1.5 miles to the east. Another nearby settlement is West Lulworth, which is approximately 2 miles away. Both towns are popular tourist destinations and offer amenities for visitors exploring the stunning coastline of Dorset.

To round 3,537,438 to the nearest ten thousand, you look at the thousands digit, which is 7. Since 7 is greater than 5, you round up. Thus, 3,537,438 rounded to the nearest ten thousand is 3,540,000 square miles.

To round off to the nearest shilling, first identify the value in pence. If the value is 5 pence or more, round up to the next shilling; if it is less than 5 pence, round down to the lower shilling. For example, 23 pence would round to 20 pence (20 shillings), while 27 pence would round to 30 pence (30 shillings). This method ensures that you always round to the nearest whole shilling.

The nearest sea to South America is the Caribbean Sea, which lies to the north of the continent. It is bordered by several countries in Central America and the northern coasts of South America, including Colombia and Venezuela. The Caribbean Sea is part of the Atlantic Ocean and features numerous islands and a rich marine ecosystem. Additionally, the South Atlantic Ocean is located to the east of South America.

450

To round 85,765,023 to the nearest million, you look at the digit in the hundred-thousands place, which is 7. Since 7 is 5 or greater, you round up the million place (which is 85 million) by one, resulting in 86 million. Therefore, 85,765,023 rounded to the nearest million is 86,000,000.

The number 929 rounded to the nearest ten is 930. Since the last digit (9) is 5 or greater, we round up to the next ten.

The least whole number that rounds to 2,400,000 when rounded to the nearest whole number is 2,395,000. This is because any number from 2,395,000 up to 2,404,999 will round to 2,400,000.

It is generally easier to measure objects to the nearest centimeter because this unit is larger and allows for quicker estimations, especially for larger objects. Measuring to the nearest millimeter provides more precision but requires more careful alignment and calibration, which can be challenging for some objects. Therefore, for quick assessments, centimeters are often preferable, while millimeters are better for detailed measurements.

Activity duration estimating refers to predicting how long it will take to complete a specific task, usually measured in time units like hours or days. In contrast, estimating the effort required to perform an activity focuses on quantifying the amount of work needed, often expressed in person-hours or labor units. While duration accounts for scheduling factors such as resource availability and dependencies, effort estimation is more concerned with the actual workload involved. Understanding both concepts is crucial for effective project planning and resource allocation.

To round 4.35 to the nearest tenths, you look at the hundredths place, which is 5 in this case. Since 5 is equal to or greater than 5, you round up the tenths place from 3 to 4. Therefore, 4.35 rounded to the nearest tenths is 4.4.

The 20 nearest stars to Earth include Proxima Centauri, Alpha Centauri A, Alpha Centauri B, Barnard's Star, Wolf 359, and Luhman 16 A and B. Other notable nearby stars are Sirius A and B, Ross 154, Ross 248, and Epsilon Eridani. The distances of these stars range from just over 4 light-years to about 10 light-years away. Many of these stars are part of binary or multiple star systems.

The nearest hundred thousand for 149,590 is 100,000. When rounding to the nearest hundred thousand, you look at the ten thousands place, which is 4 in this case. Since 4 is less than 5, you round down to 100,000.

0.506 rounded to the nearest hundredths is 0.51. When rounding, you look at the digit in the thousandths place (6), which is 5 or greater, so you round up the digit in the hundredths place (0) to 1. Therefore, the final rounded value is 0.51.

279 rounded to the nearest hundred is 300. When rounding, you look at the digit in the tens place, which is 7 in this case. Since 7 is 5 or greater, you round up to the next hundred.

To round 1884 to the nearest hundredth, we first recognize that it is a whole number without any decimal places. Therefore, when rounding to the nearest hundredth, it becomes 1884.00, as there are no digits beyond the decimal point to consider.

The nearest ten to 77345 is 77350. To find this, you look at the digit in the ones place, which is 5. Since it is 5 or greater, you round up the tens place from 4 to 5, resulting in 77350.

The nearest whole number to 2.147 is 2. When rounding, you look at the first digit after the decimal point; since it is 1 (which is less than 5), you round down. Therefore, 2.147 rounds to 2.

To round ( \frac{7}{12} ) to the nearest whole number, first calculate its decimal equivalent, which is approximately 0.5833. Since 0.5833 is closer to 1 than to 0, ( \frac{7}{12} ) rounded to the nearest whole number is 1.