1. I can determine that a digit in one place value represents ten times what it represents in the place to its right.
4.M.NBT.01

2. Vocabulary
Whole Number – the numbers 0, 1, 2, 3… (there are no fractions, decimals or negatives).
Base Ten – the decimal system that we use has 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) so we call it base 10.
Digit – 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are the digits we use in everyday numbers.

3. Vocabulary
Place Value – The value of where the digit is in the number (ones, tens, hundreds…)
Divide – to split into equal parts/groups.
Multiply – the basic idea of multiplying is repeated addition.

4. I can determine that a digit in one place value represents ten times what it represents in the place to its right.

5. Example Problem 1
How is the 4 in the number 456 similar to and different from the 4 in 546? Justify your answer.
Hundreds Place
400
Tens Place 40
One is 4 hundreds and the other is 4 tens and they both represent 4 sets of a place value

6. Practice Problem 1
How is the 7 in 879 similar to and different from the 7 in 798? Justify your answer.
Tens Place 70
Hundreds Place
700
One is 7 hundreds and the other is 7 tens and they both represent 7 sets of a place value.

7. Example Problem 2 Which statement is true about the number 517,032?
The place value of the 7 is 10 times the place value of the 2
The place value of the 7 is 10 times the place value of the 0
The place value of the 0 is 10 times the place value of the 2
The place value of the 1 is 10 times the place value of the 5

8. Practice Problem 2 Which statement is true about the number 710,592?
The place value of the 7 is 10 times the place value of the 2
The place value of the 2 is 10 times the place value of the 9
The place value of the 0 is 10 times the place value of the 5
The place value of the 1 is 10 times the place value of the 7

9. Example Problem 3
Why is the problem below true (justify your answer): 71 x 10 = 710
The 7 in 710 represents 7 hundreds which is ten times as much as 7 tens, and the 1 represents 1 ten which is ten times as much as 1 one.

10. Practice Problem 3
Why is the problem below true (justify your answer): 43 x 10 = 430
The 4 in 430 represents 4 hundreds which is ten times as much as 4 tens, and the 3 represents 3 tens which is ten times greater than 3 ones.

11. Practice Problem 4
How is the 7 in the number 387 similar to and different from the 7 in 478? Justify your answer.
Ones Place 7
Tens Place 70
One is 7 tens and the other is 7 ones, both represent 7 sets of a place value.

12. Practice Problem 5
If 518 is multiplied by 10, what value will the 1 in the new number represent? 10
100
1,000
5,100
518
x10
5,180

13. Practice Problem 6
Study the pattern below. What would the next problem be in the pattern? Justify your answer in words.
5 x 7 = 35
50 x 7 = 350
500 x 7 = 3,500
The next equation is 5,000 x 7 = 35,000 because each number is ten times the previous number.

14. Make Your Own Problem
Create 1 problem that is similar to one of the three problems we have been practicing.
Trade your board with a neighbor and see if you can answer their problem.

15. Think Back… Explain what base ten is to a neighbor.
Explain what a whole number is to a different neighbor.