Essential Math Concepts: Prime Factorization, Powers, Exponents, and Multiplication Strategies

Slide Note
Embed
Share

Learn fundamental math concepts such as prime factorization, powers, exponents, multiplication patterns, and problem-solving strategies with examples and visuals. Explore topics like the distributive property, estimating products, and multiplying by one-digit numbers in an engaging manner.


Uploaded on Oct 02, 2024 | 0 Views


Download Presentation

Please find below an Image/Link to download the presentation.

The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author. Download presentation by click this link. If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.

E N D

Presentation Transcript


  1. Multiply Whole Numbers

  2. Lesson 1 Prime Factorization Prime factorization is breaking down a composite number into its prime factors. To find the prime factorization of a number, use a factor tree. Example: 18 3 x 2 x 3 The prime factorization of 18 is 2 x 3 x 3 ( 2 x 3 ). 6 x 3

  3. Lesson 3 Powers and Exponents 3 3 is the base 4 is the exponent The base is the number that is being multiplied . The exponent tells you how many times you multiply the base. Example: 3 = 3 x 3 x 3 x 3 9 x 9 = 81

  4. Lesson 4 Multiplication Patterns With powers of 10 and other large numbers, you can use mental math to solve. Example: 450 x 1,000 450 x 10 (the exponent tells you how many zeros to add) 1. Multiply the numbers that are not zeros . 450 x 1,000 45 x 1 = 45 2. Count the number of zeros in the product. Put that many zeros in your answer. 1 zero + 3 zeros = 4 zeros in answer 450 x 1,000 450 x 1,000 = 450,000

  5. Lesson 5 Problem-Solving Strategy: Make a Table Janice is training for a marathon. She begins by running 2 miles the first week. Each week she runs double the amount of miles. How many miles will she run during week 4? Double = x 2 Week 1 2 3 4 Miles 2 4 8 16 starting # x 2 x 2 x 2 Janice will run 16 miles during week 4.

  6. Lesson 7 The Distributive Property You can use the Distributive Property to break numbers into smaller ones that you can easily multiply. Example: 8 x 12 10 2 Break the digit down into tens and ones Multiply and add the sums. (8 x 10) + (8 x 2) 80 + 16 = 96

  7. Lesson 8 Estimate Products 1. Round numbers all the way to the left. Use the rules for rounding . 92 900 1 2 3 4 - round down x 12 x 10 5 6 7 8 9 round up 2. Multiply the non-zero numbers. Count the zeros. x 10 90 9 x 1 = 9 1 zero + 1 zero = 2 zeros 900

  8. Lesson 9 Multiply by One-Digit Numbers 1. Multiply the ones. 2. Multiply the tens. Bring the digit in the tens place over to the next number. 1 873 x 2 46 873 x 2 6 3. Multiply the hundreds. Add the number you carried over. 1,746 1 873 x 2

  9. Lesson 10 Multiply by Two-Digit Numbers 1. Multiply the ones. 2. Erase any markings. Add a zero to the next row. 3. Multiply the tens. 56 4. Add the columns. x 17 4 56 392 x 17 392 + 560 952

Related