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Expressing 10 to the power of 7, or 10^7, can be done in a few different ways, depending on the format or context you’re looking for. Here’s a detailed breakdown: Standard Form: Simply, 10^7 signifies the number 10 multiplied by itself 7 times. This would look like: 10 x 10 x 10 x 10 x … Read more

Finding the base and height of a triangle when you only have the area can seem challenging, but it’s quite straightforward once you understand the relationship between these elements. The formula for the area (A) of a triangle is: A = 0.5 × base (b) × height (h) To derive the base and height, you … Read more

To express the whole number 14 as a fraction, you can place it over 1. This gives you: 14 = 14/1 Next, we can check if this fraction is in its simplest form. A fraction is considered to be in simplest form if the numerator and the denominator have no common factors other than 1. … Read more

To find the probability of being dealt a diamond from a standard 52-card deck, we start by understanding the composition of the deck. A typical deck consists of 52 cards, which are divided into four suits: hearts, diamonds, clubs, and spades. Each suit contains 13 cards. Since we are interested in the probability of receiving … Read more

The number 410 is already a whole number, which means it can be easily represented as a decimal. In decimal form, whole numbers simply have a decimal point followed by a zero. Therefore, 410 can be expressed as 410.0. This representation highlights that there are no fractional or decimal portions to consider with the number … Read more

To express e to the power of the natural logarithm of a number, we can utilize the properties of logarithms and exponents. Specifically, the natural logarithm function, denoted as ln, is the inverse of the exponential function with base e. So, if you have a number x, the expression e raised to the power of … Read more

Converting centimeters to meters is a simple process, as these two units are both part of the metric system. To convert centimeters to meters, you need to know that 1 meter is equal to 100 centimeters. This means that to convert from centimeters to meters, you divide the number of centimeters by 100. For example, … Read more

Finding the nth term of an arithmetic sequence is a straightforward process once you understand the basic formula and components involved. An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. This difference is referred to as the common difference, denoted by d. The general formula for the … Read more

Understanding the Decimal Representation of 2.5 When you ask, “What is 2.5 as a decimal?” it might seem a bit confusing at first, but actually, it’s quite straightforward! The number 2.5 is already in decimal form. Let’s break it down: The number 2 is the whole part before the decimal point. This represents two full … Read more