To express 3 raised to the power of 2, we write it as 32. This notation indicates that we are multiplying the number 3 by itself a total of 2 times. In simpler terms, when we calculate 32, we can break it down like this: 32 = 3 × 3 When we perform this multiplication: … Read more
To convert the fraction 12/8 into a mixed number, follow these steps: Divide the numerator by the denominator: In this case, take the numerator (12) and divide it by the denominator (8). 12 ÷ 8 equals 1 with a remainder. Find the remainder: When you divide, 8 goes into 12 one time, which gives you … Read more
To convert 6 percent into a fraction, start by understanding what a percent means. The term ‘percent’ means ‘per hundred,’ so 6 percent can be written as: 6% = 6/100 Now, to simplify this fraction, you should find the greatest common divisor (GCD) of 6 and 100. In this case, the GCD is 2. You … Read more
To calculate 23 divided by 6, you can perform the division operation: 23 ÷ 6 = 3.8333… (repeating) This means that 6 goes into 23 a total of 3 times with a remainder. If we break it down: 6 × 3 = 18 Subtracting this from 23 gives a remainder of 5 (23 – 18 … Read more
To find out what number 12 is 60 percent of, you can set up the equation based on the percentage formula: Let X be the unknown number. The equation can be expressed as: 12 = 0.60 * X To find X, you need to isolate it on one side of the equation. You can do … Read more
To convert the improper fraction 7/4 into a mixed number, follow these steps: Step 1: Identify the numerator and denominator. Here, the numerator is 7 and the denominator is 4. Step 2: Divide the numerator by the denominator. So, 7 ÷ 4 = 1 with a remainder of 3. Step 3: The whole number part … Read more
The square root of 40 can be expressed as a fraction by simplifying it. First, let’s find the square root of 40. The square root of 40 is not a whole number, so we simplify it. We can break down 40 into its prime factors: 40 = 4 × 10 4 can be further broken … Read more
To express the decimal 8.5 as a fraction, we can follow a straightforward method. First, we recognize that the number consists of two parts: the whole number (8) and the decimal part (0.5). 1. **Separate the Whole Number from the Decimal**: We start by separating 8.5 into its whole number and decimal components: – Whole … Read more
To convert pounds to grams, you need to know the conversion factor between these two units of measurement. One pound is equal to approximately 453.592 grams. This means that if you have 1 pound of an item, its weight in grams would be 453.592. For those who might be working with larger quantities, you can … Read more
To determine what 15 percent of 300 is, we can use a simple mathematical formula: Percentage = (Part / Whole) * 100 In this case, we know the whole is 300, and we want to find the part that represents 15 percent. To calculate this, we can use the formula: Part = (Percentage / 100) … Read more