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Chapter 1: Problem 33

Convert the numbers to standard form. 5 hundreds \(+2\) tens \(+4\) ones

Short Answer

Expert verified
524

Step by step solution

01

- Convert Hundreds to Standard Form

The given value is 5 hundreds. To convert this to standard form, multiply 5 by 100. So, 5 hundreds equals 5 脳 100 = 500.
02

- Convert Tens to Standard Form

The given value is 2 tens. To convert this to standard form, multiply 2 by 10. So, 2 tens equals 2 脳 10 = 20.
03

- Identify the Ones

The given value is 4 ones. In standard form, 4 ones is just 4.
04

- Add the Values Together

Add the values from each step together to get the final number in standard form: 500 + 20 + 4. This equals 524.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Place Value
Understanding place value is crucial in mathematics. It helps us determine the value of each digit in a number based on its position. For example, in the number 524, the digit 5 is in the hundreds place, the digit 2 is in the tens place, and the digit 4 is in the ones place.

Each position represents a power of 10. From right to left, the positions are:
  • Ones place (100)
  • Tens place (101)
  • Hundreds place (102)
Knowing place value allows us to convert words like '5 hundreds' into numbers like 500. By understanding place values, students can easily decompose and recompose numbers to make arithmetic easier.
Mathematics
Mathematics involves using numbers and operations to solve problems. In this exercise, we use basic arithmetic to convert word phrases into standard numerical form. Operations like multiplication and addition are essential here.

  • Multiplication helps us convert place values, like 5 hundreds into 500.
  • Addition helps us combine the values from different place values to get a final number.
These operations form the foundation for more complex mathematical concepts like algebra and calculus. Practicing these skills builds a strong mathematical foundation.
Number Conversion
Number conversion involves changing numbers from one form to another. In this case, we are converting verbal descriptions of numbers into their standard numerical form.

Let's break it down:
  • 5 hundreds: Multiply 5 by 100 to get 500.
  • 2 tens: Multiply 2 by 10 to get 20.
  • 4 ones: This remains 4 since it is already in its simplest form.
Now, we add these values together: 500 + 20 + 4 = 524.

Understanding number conversion is important for solving real-life problems, such as reading measurements or working with currency.

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Most popular questions from this chapter

Write the number in words. $$327$$

Fill in the blank with the inequality symbol \(<\) or \(>\). $$90 \square 91$$

Rewrite the expression, using the indicated property. \(6 \cdot(2 \cdot 10) ;\) associative property of multiplication

Match the property with the statement. a. Commutative property of multiplication. b. Associative property of multiplication. c. Multiplication property of 0. d. Multiplication property of 1. e. Distributive property of multiplication over addition. $$6 \cdot 13=13 \cdot 6$$

Convert the numbers to expanded form. $$10,241$$
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