Rounding and Estimating Numbers

To round 125,458 to the nearest hundred thousand, you look at the hundred thousand place, which is 1 in this case. The digit to the right, in the ten thousand place, is 2. Since 2 is less than 5, you round down, resulting in 100,000 as the nearest hundred thousand.

The nearest 10 to 1275 is 1280. When rounding to the nearest ten, you look at the last digit, which is 5. Since 5 rounds up, you add 5 to 1275, resulting in 1280.

To round 1.625 to the nearest hundred, you first identify the nearest hundred values, which are 0 and 100. Since 1.625 is much closer to 0 than to 100, you round down to 0. Therefore, 1.625 rounded to the nearest hundred is 0.

When rounding 800,000 to the nearest hundred thousand, it remains 800,000, as it is already at that value. The largest number that rounds to 800,000 is 849,999, and the smallest number that rounds to 800,000 is 750,000.

To round 6.16 to the nearest tenth, you look at the digit in the hundredths place, which is 6. Since 6 is 5 or greater, you round the tenths place (1) up by one. Therefore, 6.16 rounded to the nearest tenth is 6.2.

To round the number .0196 to two decimal places, you would look at the third decimal place, which is 6. Since 6 is greater than 5, you would round the second decimal place up from 1 to 2. Therefore, .0196 rounded to two decimal places is .02.

The number you are describing is 86. When rounded to the nearest tenth, 86 becomes 90, since the tenths place (which is 6) rounds up when the next digit (which is 6 in this case) is 5 or greater. Thus, 86 meets both criteria: it has the digits 8 and 6, and rounds to 90.

The nearest meaning to "germane" is "relevant" or "pertinent." It describes something that is closely related or applicable to a particular matter or situation. In discussions or arguments, germane points are those that significantly contribute to the topic at hand.

To find the average surface temperature of Star Beta using its peak intensity wavelength of 350 nm, we can use Wien's Law, which states that the peak wavelength (in meters) is inversely proportional to the temperature (in Kelvin). The formula is given by ( T = \frac{b}{\lambda} ), where ( b ) is Wien's displacement constant (approximately ( 2.898 \times 10^{-3} ) m·K). Converting 350 nm to meters gives us ( 3.5 \times 10^{-7} ) m. Plugging in the values, we find that the temperature ( T ) is approximately 8285 K, which rounds to 8285 when expressed as a whole number.

A tenth of an amp is equivalent to 0.1 amps, or 100 milliamps (mA). This measurement is commonly used in electrical contexts to describe current flow. It represents one-tenth of the standard unit of electric current, the ampere.

The nearest multiple of 10 to 35 is 30, as it is just 5 units away. The next closest multiple, 40, is 5 units further away. Therefore, when rounding, 35 is generally considered closer to 30.

To round 242 to the nearest hundred, you look at the tens place, which is 4. Since 4 is less than 5, you round down. Therefore, 242 rounded to the nearest hundred is 200.

To round 0.304 to the nearest hundredth, you look at the third decimal place, which is 4. Since 4 is less than 5, you do not round up the second decimal place. Therefore, 0.304 rounded to the nearest hundredth is 0.30.

The nearest whole number to 16.45 is 16. When rounding, you look at the digit in the tenths place, which is 4, and since it is less than 5, you round down. Therefore, 16.45 rounded to the nearest whole number is 16.

5.6

The least number that can be rounded off to 3,500 is 3,450. This is because when rounding to the nearest hundred, any number from 3,450 to 3,549 will round up to 3,500. Numbers below 3,450 would round down to 3,400.

The symbol for rounding up is typically represented by the ceiling function, denoted as ⌈x⌉. This mathematical notation rounds a number x up to the nearest integer. For example, ⌈3.2⌉ equals 4, while ⌈5⌉ remains 5.

To convert 11 over 35 into a percentage, divide 11 by 35, which equals approximately 0.3143. To express this as a percentage, multiply by 100, resulting in about 31.43%. Rounded to the nearest tenth, 11 over 35 is approximately 31.4%.

To round 861 to the nearest hundred, you look at the digit in the tens place, which is 6. Since 6 is 5 or greater, you round up. Therefore, 861 rounded to the nearest hundred is 900.

To round 7.19 to the nearest tenth, you look at the digit in the hundredths place, which is 9. Since 9 is 5 or greater, you round the tenths place (1) up by one. Therefore, 7.19 rounded to the nearest tenth is 7.2.

To round 4.78 to the nearest tenth of a percent, first express it as a percentage, which is 478%. Then, look at the hundredths place (the 8 in 478.0). Since 8 is greater than 5, you round up, resulting in 478% rounding to 478.0%. Thus, 4.78 rounded to the nearest tenth of a percent is 478.0%.

66.67 percent, when expressed in decimal form, is 0.6667. When rounding to the nearest hundredth place, it rounds to 0.67. Therefore, 66.67 percent rounded to the nearest hundredth place remains 66.67 percent.

Estimations are often more practical than exact numbers when quick decision-making is required, such as during budgeting or planning. They allow for flexibility and can accommodate uncertainties in data or variables. Additionally, estimations can simplify complex calculations, making it easier to communicate ideas without getting bogged down in precise details. In many situations, a rough figure suffices to guide actions or discussions effectively.

To round 148 to the nearest ten using a number line, first identify the multiples of ten surrounding 148, which are 140 and 150. Next, mark the position of 148 on the number line. Since 148 is closer to 150 than to 140, you would round 148 up to 150. Thus, 148 rounded to the nearest ten is 150.

To round 2.190 to the nearest hundredth, you look at the third decimal place, which is 0. Since it is less than 5, you do not round up. Therefore, 2.190 rounded to the nearest hundredth is 2.19.