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Chapter 1: Problem 35

Convert the numbers to standard form. 1 hundred \(+5\) tens

Short Answer

Expert verified
150

Step by step solution

01

- Understand the terms

Identify the values given in the problem: 1 hundred and 5 tens.
02

- Convert hundreds to numerical value

1 hundred equals 100.
03

- Convert tens to numerical value

5 tens equal 50.
04

- Add the values

Add the numerical values: 100 + 50.
05

- Calculate the sum

Calculate the sum: 100 + 50 = 150.

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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 for converting numbers to standard form. Place value refers to the position of a digit in a number, which determines its value. For example, in the number 150:
  • The digit 1 is in the hundreds place, meaning it represents 100.
  • The digit 5 is in the tens place, meaning it represents 50.
  • The digit 0 is in the ones place, meaning it represents 0.
Each position increases in value by a factor of ten as you move left. Knowing place values helps us map numbers to their standard numeric forms accurately.
Addition
Addition is a basic arithmetic operation that combines two or more numbers into a single sum. In our exercise, adding the values from the hundreds and tens places gives us a total value. Here鈥檚 how:
  • First, convert the named numbers to their actual values: 1 hundred becomes 100, and 5 tens become 50.
  • Next, add these two values together: 100 + 50.
The addition of these values is straightforward in basic arithmetic. The result is the number 150.
Numerical Representation
Numerical representation involves expressing numbers in a standard, understandable form. In the exercise given, we start with verbal descriptions like '1 hundred' and '5 tens.' To convert these to standard form:
  • 1 hundred is represented numerically as 100.
  • 5 tens are represented numerically as 50.
Both representations make it easier to perform arithmetic operations, like addition, by using familiar numerical forms.
Basic Arithmetic
Basic arithmetic includes simple, fundamental mathematical operations such as addition, subtraction, multiplication, and division. These operations help us solve everyday math problems. In this exercise, we used:
  • Addition, to combine the numerical values from the hundreds and tens places.
Understanding basic arithmetic is essential for more advanced mathematical concepts and problems. Identifying the correct place values and operations enables efficient problem-solving in practical scenarios.

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