How are you feeling today?
The value of 9 in 0.59 is ___ less than the value of 9 in 29.
The value of 4 in 456 is ___ times the value of 4 in 84.
How many zeros are in one million?
5.NBT.A.2 - Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
Learning objective:
Dividing or multiplying by powers of 10 is easy and efficient. It helps to understand how much bigger or smaller a number is. It can be used in a variety of mathematical operations.
Multiplying or Dividing by Powers of 10
Powers of 10: Numbers that are represented as 10 multiplied by itself a certain number of times, such as 10^2 (10x10=100) or 10^3 (10x10x10=1000). Multiplying: The process of adding a number to itself a certain number of times. Dividing: The process of splitting a number into a certain number of equal parts.
Concepts:
Multiplying by powers of 10 shifts the number to the left. Left is larger.
Multiplying by Powers of 10
Dividing by powers of 10 shifts the number to the right. Right is smaller.
Dividing by Powers of 10
The first calculator was invented in 1642. The largest known prime number has 24,862,048 digits! A googol is the number one followed by one hundred zeroes (1 x 10^100).
Fun facts:
Work together in pairs: What is the result of multiplying 25 by 1000?
Work together in pairs: If 4,937 is divided by 1,000, what is the result?
Brain break: Draw a picture of a robot that is made entirely out of food!
What is the result of dividing 100 by 10?
What is the result of multiplying 10 by 10?
What is the result of dividing 1000 by 10?
What is the result of multiplying 100 by 10?
What is the result of dividing 10 by 10?
What did you learn today?