/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 30 Write each number without expone... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 30

Write each number without exponents. $$ 1 \times 10^{7} $$

Short Answer

Expert verified
10,000,000

Step by step solution

01

Understand the Exponent

An exponent indicates how many times the base number (in this case, 10) is multiplied by itself. Here, the exponent is 7.
02

Write the Base Number

The base number for the given expression is 10.
03

Multiply the Base Number

Multiply the base number by itself according to the exponent. So, calculate: 10 脳 10 脳 10 脳 10 脳 10 脳 10 脳 10.
04

Combine the Calculation

When you multiply these, you get 10,000,000.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

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

Exponents
Exponents are a way to express repeated multiplication of the same number. An exponent tells you how many times to use the base number in a multiplication. For example, in the expression \(10^7\), 7 is the exponent.
It means you multiply 10 by itself 7 times:
  • 10 脳 10 脳 10 脳 10 脳 10 脳 10 脳 10

So, understanding exponents helps you simplify the way you handle large numbers. Instead of writing a number multiple times, an exponent shows you the total number of multiplication operations easily.
Base Number
The base number is the number that is multiplied by itself. In the expression \(10^7\), 10 is the base number. The base number is essential to understand as it shows what number you'll be repeatedly multiplying.
Here are some key points to remember about base numbers:
  • The base number remains the same in the multiplication.
  • Changing the base number changes the entire value of the expression.
  • It鈥檚 the starting point for understanding exponential expressions.

By focusing on the base number, you make the complex task of dealing with large numbers more manageable.
Multiplication
Multiplication is one of the fundamental arithmetic operations. When it comes to exponents, multiplication is repeated for the specified number of times indicated by the exponent.
Consider \(10^7\): it means multiplying 10 by itself 7 times:
  • 10 脳 10 脳 10 脳 10 脳 10 脳 10 脳 10

Here are some tips:
  • Write down the base number as many times as the exponent shows.
  • Multiply step by step to avoid errors.
  • Check your final result for accuracy.

Mastering multiplication with exponents simplifies complex calculations, making it an essential skill for math students.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Decide whether each expression is equal to \(0,1,\) or \(-1 .\) See Example 1. $$ 9^{0} $$

Perform each indicated operation. Find the difference between the sum of \(5 x^{2}+2 x-3\) and \(x^{2}-8 x+2\) and the sum of \(7 x^{2}-3 x+6\) and \(-x^{2}+4 x-6\)

Perform each division. $$ \frac{y^{3}-1}{y-1} $$

Multiply. $$ (2 a)(-5 a b) $$

Evaluate. $$ 6504 \div 100 $$
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.