Question

Write thirty-two thousand, five hundred sixty-three in standard form.

Short answer

32,563

Step-by-step solution

Understand the place value

Identify the place value of each digit in the number thirty-two thousand, five hundred sixty-three.

Start from the left

Begin by writing 'thirty-two thousand' as 32,000.

Add the remaining part

Write 'five hundred sixty-three' as 563.

Combine the two parts

Combine the values obtained in Steps 2 and 3. So, 32,000 + 563.

Write the full number

Finally, write the full number in standard form as 32,563.

Key concepts

Standard Form

Standard form is a way of writing numbers that is easy to read and understand. It helps to break down large numbers into a more manageable format. When you write numbers in standard form, each digit has its place value. For the exercise, to write 'thirty-two thousand, five hundred sixty-three' in standard form:

• First, understand the place value of each digit.
• Next, break the number into parts: 'thirty-two thousand' and 'five hundred sixty-three'.
• Then, combine '32,000' and '563' to get 32,563.

Hence, the number in standard form is 32,563. It's essential to learn this technique for better clarity in fields like mathematics, accounting, and even daily life scenarios.

Writing Numbers

Writing numbers in words can be tricky. It's an essential skill that helps in clear communication and understanding of value. For example, 'thirty-two thousand, five hundred sixty-three':

• Break the number into smaller parts: 32,000 and 563.
• Write 'thirty-two thousand' for 32,000 and 'five hundred sixty-three' for 563.
• Combine these to get the full number in words.

Practicing this can make it easier to write and read large numbers accurately. It helps in various applications such as writing checks, filling out forms, or solving math problems.

Mathematical Notation

Mathematical notation is a system of symbols used to represent numbers and operations clearly and concisely. It allows us to write complex mathematical ideas in a simplified form. For example, standard form is a type of mathematical notation.

• Let's take 'thirty-two thousand, five hundred sixty-three'.
• In mathematical notation, it becomes 32,563.

Understanding mathematical notation helps you quickly interpret data, perform calculations, and communicate in mathematical terms. It's a universal language in mathematics that makes problem-solving more efficient.

Number Representation

Number representation is the way numbers are expressed using different systems. It includes standard form, scientific notation, and others. Each system has its own use case. For our exercise, we focused on the standard form.

• Consider 'thirty-two thousand, five hundred sixty-three'.
• In standard form, it's represented as 32,563.

Other ways to represent numbers include fractions, decimals, and percentages. All these representations make it easier to handle different types of data in math and sciences. Mastering number representation helps in solving various problems efficiently and accurately.