What is an exponent?
The number of times a base is used as a factor (The tiny number).
Find the prime factorization of 32
2X2X2X2X2
Write the product using exponents: 5X5X5X5X5
55
4,200
Solve 712 x 3
2,136
What is the power of 10?
A number like 10, 100, 1,000 and so on. It is the result of using only 10 as a factor.
Find the prime factorization of 63
3X3X7
Write each product using an exponent: 9X9X9X9
94
estimate the product 131 x 29
3,000 or 3,900
Solve: 182 x 6
1,092
Explain or show an example of the Distributive property.
To multiply a sum (expanded form) by a number. Multiply each addend by the number, and add the products.
Find the prime factorization of 250
2X2X2X5X5
Write each power as a product of the same factor. Then find the value. 104
10X10X10X10 = 40,000
estimate the product 68 x 7
680 or 700
Solve 806 x 7
5,642
What is prime factorization?
A way of expressing a composite number as a product of its prime factors.
Find the prime factorization of 49
7X7
9,000 X 3
27,000
Why do we estimate?
To get a quick answer that will be close to the correct answers. It also helps with checking our answer to make sure it makes sense.
Solve 51 x 82
4,182
What are compatible numbers?
Numbers in a problem that are easy to work with mentally.
Find the prime factorization of 72
2X2X2X3X3
44 x 102
44 X 10 X 10 =4,400
estimate the product 33 x 6
330 or 300
Solve 21 x 42
882