Place Value (Multiply) March 21, Simplify each expression then write in standard numerical form. 400 thousands thousands = thousands =

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1 Do Now Simplify each expression then write in standard numerical form. 5 tens + 3 tens = tens = 400 thousands thousands = thousands = Add When adding different units: Example 1: Simplify 4 thousands + 11 hundreds 1. Find the smallest unit. 2. Convert all items to the smallest unit. 3. Perform the operation. Example 2: Find the sum of 24 ten-thousands and 11 thousands

2 Answers to Add 1. 2, C 3. C 4. B Subtract The same method can be applied when subtracting two mixed amounts. Example 1: Simplify 4 thousand 5 hundred - 7 hundred Example 2: Find the difference of 3 hundred 7 tens and 9 ones

3 Answers to Subtract 5. B 6. B 7. C 8. D Multiply Units can be multiplied Example 1: Simplify 10 x 5 million 1. Multiply the numbers 2. Keep the units Example 2: Find the product of 100 and 50 hundreds

4 Answers to Multiply , , , ,000 Expand a Factor Example 1: Find 216 x 5 ( ) 5 (5 x ) + (5 x ) + (5 x _) Example 2: 26 students are given 4 colored pencils each. How many colored pencils are given?

5 Answers to Expand 13. D 14. B 15. B 16. C Do Now You have 27 pieces of candy. You would like to put 5 candies in a bag and give it to your friends. How many friends can you give a bag of candy to? Will there be any candy left-over? If so, how many pieces? What if you had 4,690 pieces of candy?

6 Set-up To find a solution, you can use repeated subtraction or simply division. The first step in understanding the division process is setting it up. We will be placing numbers in the following positions: divisor dividend When setting up a problem, the first number is the dividend. The second number is the divisor. Set up each of the following: 4, / 2 Answers to Set-up

7 Long Division Let's do this one place value at a time. 1. Find the most amount of groups that can be made. 2. Multiply your amount with the divisor. 3. Subtract. 4. Bring down the next place value. 5. Repeat 1-4 until complete The 'answer' to a division problem is called a quotient. In the problem above, the quotient is. Answers to Long Division 5. C 6. C 7. C 8. B

8 Remainder Division won't always be perfect. Sometimes there will be leftovers called remainders. Example 1: Find the quotient and the remainder for quotient remainder Example 2: Find the quotient and the remainder for quotient remainder Answers to Remainder 9. A 10. A 11. A 12. B

9 Highest Remainder The remainder is always smaller than the divisor. Check these out: 9/2 10/2 11/2 12/2 What is the highest remainder you can have when dividing by 2? What is the highest remainder when dividing by 10? What is the highest remainder when dividing by 26? Answers to Highest Remainder 13. D 14. D 15. A 16. D

10 Applications Example 1: There are 26 students in this class. I have 28 pencils and would like to give each student 1 pencil. How many pencils will I have left-over? Example 1: Caleb has 76 apples. He wants to bake as many pies as he can. If it takes 10 apples to make each pie, - how many apples will he use? - how many apples will not be used? - check: Answers to Applications 17. C 18. C 19. B 20. B

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