When comparing very large and very small numbers, there are a few key points to consider:
1. Magnitude: Very large numbers typically have a greater magnitude than very small numbers. For example, 1,000,000 is much larger than 0.000001.
2. Exponents: Very large numbers are usually expressed using positive exponents, while very small numbers are expressed using negative exponents. For example, 10^6 represents a large number, whereas 10^-6 represents a small number.
3. Decimal Point: Very large numbers often have the decimal point moved to the right, indicating a greater number of digits before the decimal point. Very small numbers have the decimal point moved to the left, indicating a greater number of digits after the decimal point.
4. Units: Very large numbers may be used to represent quantities like population, GDP, or distances in light-years. Very small numbers may represent quantities like atomic size, electron volts, or error tolerances.
When comparing very large and very small numbers, it is important to keep these factors in mind to fully understand their scale and significance.
Compare Very Large and very small Numbers Quick Check
5 answers
What does descending mean
Descending means arranging in a decreasing or reverse order. When a list or set of numbers is arranged in descending order, the largest value comes first, followed by the second-largest value, and so on, with the smallest value coming last. This is the opposite of ascending order, where the values are arranged in increasing order. For example, if we have a set of numbers {5, 8, 2, 10, 3}, arranging them in descending order would result in {10, 8, 5, 3, 2}.
In which set are the numbers arranged in ascending order?(1 point)
a. 3.25 × 10−3, 2.25 × 10−3, 3.25 × 10−4, 1.25 × 10−3
b. 0.000325, 0.00225, 0.00125, 0.00325
c. 3.25 × 10−4, 1.25 × 10−3, 2.25 × 10−3, 3.25 × 10−3
d. 0.00125, 0.00225, 0.000325, 0.00325
a. 3.25 × 10−3, 2.25 × 10−3, 3.25 × 10−4, 1.25 × 10−3
b. 0.000325, 0.00225, 0.00125, 0.00325
c. 3.25 × 10−4, 1.25 × 10−3, 2.25 × 10−3, 3.25 × 10−3
d. 0.00125, 0.00225, 0.000325, 0.00325
To determine which set is arranged in ascending order, we need to compare the numbers from smallest to largest.
Let's evaluate the options:
a. 3.25 × 10^−3, 2.25 × 10^−3, 3.25 × 10^−4, 1.25 × 10^−3
Here, the numbers arranged in ascending order would be: 3.25 × 10^−4, 2.25 × 10^−3, 1.25 × 10^−3, 3.25 × 10^−3
But this is not the given order, so option a is not in ascending order.
b. 0.000325, 0.00225, 0.00125, 0.00325
Here, the numbers are already in ascending order, starting with the smallest: 0.000325, 0.00125, 0.00225, 0.00325
So option b is arranged in ascending order.
c. 3.25 × 10^−4, 1.25 × 10^−3, 2.25 × 10^−3, 3.25 × 10^−3
Here, the numbers arranged in ascending order would be: 3.25 × 10^−4, 1.25 × 10^−3, 2.25 × 10^−3, 3.25 × 10^−3
But this is not the given order, so option c is not in ascending order.
d. 0.00125, 0.00225, 0.000325, 0.00325
Here, the numbers arranged in ascending order would be: 0.000325, 0.00125, 0.00225, 0.00325
But this is not the given order, so option d is not in ascending order.
After evaluating the options, we find that option b is the only one arranged in ascending order.
Let's evaluate the options:
a. 3.25 × 10^−3, 2.25 × 10^−3, 3.25 × 10^−4, 1.25 × 10^−3
Here, the numbers arranged in ascending order would be: 3.25 × 10^−4, 2.25 × 10^−3, 1.25 × 10^−3, 3.25 × 10^−3
But this is not the given order, so option a is not in ascending order.
b. 0.000325, 0.00225, 0.00125, 0.00325
Here, the numbers are already in ascending order, starting with the smallest: 0.000325, 0.00125, 0.00225, 0.00325
So option b is arranged in ascending order.
c. 3.25 × 10^−4, 1.25 × 10^−3, 2.25 × 10^−3, 3.25 × 10^−3
Here, the numbers arranged in ascending order would be: 3.25 × 10^−4, 1.25 × 10^−3, 2.25 × 10^−3, 3.25 × 10^−3
But this is not the given order, so option c is not in ascending order.
d. 0.00125, 0.00225, 0.000325, 0.00325
Here, the numbers arranged in ascending order would be: 0.000325, 0.00125, 0.00225, 0.00325
But this is not the given order, so option d is not in ascending order.
After evaluating the options, we find that option b is the only one arranged in ascending order.