To express the decimal 0.29 as a fraction, follow these steps: Write the decimal as a fraction over 1: 0.29 = 0.29/1 To eliminate the decimal, multiply both the numerator and the denominator by 100 (since there are two digits after the decimal point): (0.29 × 100)/(1 × 100) = 29/100 Now, we have the … Read more
A regular octagon is a polygon with eight equal sides and eight equal angles. To find the measure of an interior angle of a regular polygon, you can use the following formula: Interior Angle = ((n – 2) * 180) / n Where n is the number of sides in the polygon. For a regular … Read more
To find the prime factorization of 32, we start by looking for the smallest prime number that can divide 32 evenly. The smallest prime number is 2. We divide 32 by 2: 32 ÷ 2 = 16 Next, we can take the result, which is 16, and divide it by 2 again: 16 ÷ 2 … Read more
To convert the improper fraction 14/9 into a mixed number, we need to follow a few straightforward steps. First, we divide the numerator (14) by the denominator (9). When we do this: 14 divided by 9 equals 1, since 9 goes into 14 one time. This leaves us with a remainder. To find the remainder, … Read more
Dividing a mixed number by a whole number can seem a bit tricky at first, but once you understand the steps, it becomes straightforward! Let’s break it down step by step. Step 1: Convert the Mixed Number to an Improper Fraction A mixed number consists of a whole number and a fraction. To make calculations … Read more
To find one-fourth of one-half, we start by expressing both fractions mathematically. One-half can be written as 1/2 and one-fourth as 1/4. The calculation involves multiplying the two fractions together: (1/4) * (1/2) The general rule when multiplying fractions is to multiply the numerators (top numbers) together and the denominators (bottom numbers) together: Numerators: 1 … Read more
To express the number 48 as a fraction in its simplest form, you can follow these steps: Understanding the Whole Number: The number 48 can be written as a fraction by placing it over 1. Thus, it can be represented as 48/1. Identifying the Simplest Form: A fraction is in its simplest form when the … Read more
To determine what 35 out of 60 represents, we can first look at it as a fraction, which is 35/60. This fraction can be simplified; both the numerator (35) and the denominator (60) can be divided by 5, giving us: 35 ÷ 5 = 7 60 ÷ 5 = 12 So, 35/60 simplifies to 7/12. … Read more
When we talk about exponents in mathematics, we often come across rules that help simplify calculations. One of these fundamental rules states that any non-zero number raised to the power of 0 equals 1. This might seem counterintuitive at first, but let’s break it down to understand why it holds true. In the case of … Read more
To calculate the probability of getting exactly 3 heads when tossing a fair coin 5 times, we can use the binomial probability formula: P(X=k) = C(n, k) × pk × (1-p)n-k Where: C(n, k) is the binomial coefficient (the number of ways to choose k successes in n trials), calculated as: C(n, k) = n! … Read more