Place Value & Patterns
What is 10 times as much as 400?
4,000
What is the value of the digit 7 in 6,072?
70
What property is shown below?
2 x 4 x 7 = 4 x 7 x 2
The Commutative Property of Multiplcation
Write 10 x 10 x 10 x 10 is the same as what?
use an exponent when writing your answer
10⁴
Use your understanding of ¨Powers of 10/Multiplication Patterns¨ to solve:
6 x 10³
6,000
500 is 1/10 of ___
5,000
What is the value of the digit 6 in 6,072?
6,000
What property is shown below?
(2 x 4) x 7 = 2 x (4 x 7)
The Associative Property of Multiplication
What is 10³ ?
1,000
Use your understanding of ¨Powers of 10/Multiplication Patterns¨ to solve:
4 x 10²
400
Ms. Mecca made 20 cupcakes for a family party. The cupcakes were so good, that she was asked to make 100 times as many for the next party. How many cupcakes does she have to make for the next party?
2,000 cupcakes
What digit is in the ten thousands place in the number 127,546?
2
True or False ?
2 + 3 + 4 = 4 + (3 + 2)
TRUE
(The commutative and associative properties of addition make this true)
What is the base and what is the exponent in
10³ ?
10 is the base
3 is the exponent
Use your understanding of ¨Powers of 10/Multiplication Patterns¨ to answer the following question:
How many zeros are in the answer to
4 x 10² ?
Two zeros!
(Think:the exponent is 2)
On Saturday, Mrs. Schettino collected 300 seashells at the beach. On Sunday she collected 1/10 the amount of seashells she did on Saturday. How many seashells did Mrs. Schettino collect on Sunday?
30 seashells
What digit is in the millions place in the number 239,147,516?
9
True or False
2 x 47 = (2 x 40) + (2 x 7)
TRUE
(The Distributive Property makes this true)
What is 10⁷?
10,000,000
What is the relationship between the exponent and the amount of zeros when the base is 10?
The exponent tells you how many zeros, so the greater the exponent the greater the number of zeros in the number
3,000 is 10 times as much as _____
300
Write a number that has a 9 in the ten millions place and a 8 in the hundred millions place.
One Possible Example: 891,234,000
*Teachers will check and accept correct answers
True or False?
2 X (4 + 7) = 2 + 4 x (2 + 7)
False
The correct way to write it if we wanted to make it true, would be
2 x (4 + 7) = (2 x 4) + (2 x 7)
What is 10⁰
1
Use your understanding of ¨Powers of 10/Multiplication Patterns¨ to answer the following question:
How many zeros are in the answer to
4 x 5 x 10² ?
Three zeros!
(Think: 4 x 5 = 20 and 10² = 100)
20 x 100 = 2,000 which has a total of three zeros