Problem 39 Write each number in standard no... [FREE SOLUTION]

91影视

Basic College Mathematics

Marvin L. Bittinger, Judith A. Beecher, Barbara L. Johnson

$Math Studyset 91影视 Explanations$ Math

13 Edition

Chapter 1: Problem 39

Write each number in standard notation. Eight billion

Short Answer

Expert verified

8,000,000,000

Step by step solution

Identify the Number in Words

The number given is 'Eight billion'.

Understand the Place Value

A billion is equal to 1,000,000,000.

Convert Words to Digits

'Eight billion' means we multiply 8 by 1,000,000,000.

Calculate the Result

Perform the multiplication: \[ 8 \times 1,000,000,000 = 8,000,000,000 \]

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Key Concepts

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

Place Value

To understand large numbers like 'eight billion', it's crucial to grasp the concept of place value. Place value tells us the value of a digit based on its position in a number. In the number 8,000,000,000, the digit 8 is in the 'billion' place.

Place value works from right to left, starting with units, tens, hundreds, and so on:

Units (1)
Tens (10)
Hundreds (100)
Thousands (1,000)
Ten Thousands (10,000)
Hundreds of Thousands (100,000)
Millions (1,000,000)
Billions (1,000,000,000)

Understanding these positions helps you write and read large numbers accurately. For instance, in 'Eight billion', the 8 is placed in the billion's place, which is nine digits from the right.

Large Numbers

Large numbers can seem daunting, but breaking them down makes them easier to understand. The number 'eight billion' is a large number, but it's just 8 followed by 9 zeros. We write it as 8,000,000,000 in standard notation.

When dealing with large numbers:

Always count the zeros to ensure you have the correct place value.
Use commas to separate groups of three zeros, which makes the number easier to read. For example, 1,000,000,000 instead of 1000000000.
Understand common large number terms: thousand (10鲁), million (10鈦�), billion (10鈦�), and trillion (10鹿虏).

Large numbers are easier to read and understand if broken down systematically. Start from the right and group digits into sets of three, adding commas as you go.

Multiplication

Multiplication helps to convert verbal numbers to standard notation. For 'eight billion', you multiply 8 by 1,000,000,000.

Here's how multiplication works:

Write down the number to be multiplied (8).
Write down the place value multiplier (1,000,000,000).
Perform the multiplication: \[ 8 \times 1,000,000,000 = 8,000,000,000 \]

Multiplying by large numbers:

Ensures accuracy in place values.
Makes it easier to convert words into numbers.

Practice multiplying numbers by their place values to gain confidence in handling large figures. You will find this especially helpful in math and in real-world applications like finance and science.

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91影视

Write each number in standard notation. Eight billion

Short Answer

Step by step solution

Identify the Number in Words

Understand the Place Value

Convert Words to Digits

Calculate the Result

Key Concepts

Place Value

Large Numbers

Multiplication

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