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Place Value
March 20, 2017
Aim: Perform all four operations
using place values up to one million.
Do Now
Simplify each expression then write in standard numerical form.
5 tens + 3 tens = __ tens = ____
400 thousands + 600 thousands = ____ thousands = _______
Aim: Perform all four operations
using place values up to one million.
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
Place Value
March 20, 2017
Answers to Add
Aim: Perform all four operations
using place values up to one million.
1. 2,146
2. C
3. C
4. B
Subtract
Aim: Perform all four operations
using place values up to one million.
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
Place Value
March 20, 2017
Aim: Perform all four operations
using place values up to one million.
Answers to Subtract
5. B
6. B
7. C
8. D
Aim: Perform all four operations
using place values up to one million.
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
Place Value
March 20, 2017
Answers to Multiply
Aim: Perform all four operations
using place values up to one million.
9. 200,000
10. 25,000
11. 570,000
12. 239,000
Expand a Factor
Aim: Perform all four operations
using place values up to one million.
Example 1: Find 216 x 5
(200 + 10 + 6) 5
(5 x ___) + (5 x __) + (5 x _)
Example 2: 26 students are given 4 colored pencils each. How many
colored pencils are given?
Place Value
March 20, 2017
Answers to Expand
Aim: Perform all four operations
using place values up to one million.
13. D
14. B
15. B
16. C
Do Now
Aim: Practice long division.
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?
Place Value
March 20, 2017
Aim: Practice long division.
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:
4,690 ÷ 5
Answers to Set-up
1.
2.
3.
4.
603 / 2
Aim: Practice long division.
Place Value
March 20, 2017
Aim: Practice long division.
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.
5 4690
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
Aim: Practice long division.
Place Value
March 20, 2017
Aim: Practice long division.
Remainder
Division won't always be perfect. Sometimes there will be leftovers
called remainders.
Example 1: Find the quotient and the remainder for 603 ÷ 2
quotient ____ remainder ___
Example 2: Find the quotient and the remainder for
quotient ____ remainder ___
Answers to Remainder
9. A
10. A
11. A
12. B
Aim: Practice long division.
Place Value
March 20, 2017
Aim: Practice long division.
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
Aim: Practice long division.
Place Value
March 20, 2017
Applications
Aim: Practice long division.
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.
18.
19.
20.
C
C
B
B
Aim: Practice long division.
Place Value
March 20, 2017