/*! 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 11 Multiply. $$(9)(127)$$... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 11

Multiply. $$(9)(127)$$

Short Answer

Expert verified
The answer to \(9 \times 127\) is 1143.

Step by step solution

01

Multiplication of Numbers

Start the multiplication process by multiplying the numbers 9 and 127 together: \[ 9 \times 127 \]

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.

Step-by-step solution
Explaining complex problems in a step-by-step manner makes solving them easier and reduces the chance of making mistakes. In this multiplication exercise, we need to find the product of 9 and 127. Here's how you can do it systematically:
  • Break apart 127: We can simplify the multiplication by breaking 127 into smaller, more manageable parts. 127 can be expressed as the sum of 100, 20, and 7.
  • Multiply each part by 9: Multiply the number 9 by each component separately: - \(9 \times 100 = 900\) - \(9 \times 20 = 180\) - \(9 \times 7 = 63\)
  • Add the results: Now, add all the partial products you obtained: \(900 + 180 + 63\)
By simplifying and combining these products: \[ 900 + 180 + 63 = 1143 \].
Following these steps, we find that 9 multiplied by 127 results in 1143. Carefully going through each part ensures accuracy and enhances your understanding of multiplication.
Arithmetic operations
In mathematics, arithmetic operations are the basic operations we perform with numbers. Multiplication, which we are focusing on here, is one of the fundamental operations.

When we perform multiplication, we are essentially adding a number (the multiplicand) to itself a certain number of times as dictated by another number (the multiplier). For instance, multiplying 9 by 127 means we are summing 9 added to itself 127 times.

Here are some important things to remember about multiplication:
  • Associative Property: The grouping of numbers does not change the product, for example, \( (a \times b) \times c = a \times (b \times c)\).
  • Commutative Property: The order of multiplication does not affect the product, e.g., \( a \times b = b \times a\).
  • Distributive Property: This allows you to break numbers apart to simplify multiplication, useful for mental math: \( a \times (b + c) = a \times b + a \times c \).
Understanding these properties helps in confidently tackling multiplication problems.
Basic math skills
Basic math skills form the groundwork for all advanced mathematical concepts. Mastering these skills is crucial not only in academics but also in real-life scenarios like budgeting and measuring. Let's touch on some essential multiplication-related skills you should develop:
  • Number Sense: Understanding how numbers work and relate to each other enhances problem-solving abilities. Practice estimation and rounding to simplify calculations.
  • Memorization: Memorizing multiplication tables helps in quickly retrieving basic answers, speeding up calculations.

  • Problem-Solving: Apply known strategies to break down complex problems. Use mental math, note patterns, and create visual representations like grids or arrays to aid in computation.
Developing these basic skills early will make learning more complex mathematical operations easier. Practice regularly to keep these skills sharp.

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

Loans Find the total amount paid on a loan when the monthly payment is 187$ and the loan is paid off in 36 months. Use the formula A=M N, where A is the total amount paid, M is the monthly payment, and N is the number of payments.

Nutrition One ounce of cheddar cheese contains 115 calories. Find the number of calories in 4 oz of cheddar cheese.

Divide. Then check by estimating the quotient. $$637,072 \div 29$$

Find all the factors of the number. $$54$$

What is the Sieve of Eratosthenes? Use this method to find all the prime numbers less than 100 .
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Calculus

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

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.