How are base ten blocks and expanded notation similar?

Answer 1

Both work on the the basis of decimal counting. A number is broken up into parts such that each part can be represented by some integer times a power of ten. These are the terms in expanded notation while in base ten blocks, these integers are the number of blocks of different sizes that you need

For example the number 2356 is

(2*1000) + (3*100) + (5*10) + (6*1)

which can also be written as

(2*103) + (3*102) + (5*101) + (6*100)

Note: 100 = 1, 101 = 10, 102 = 100, 103 = 1000.

In terms of base ten blocks, you will have

2 blocks of 1000

3 blocks of 100

5 blocks of 10

and

6 blocks of 1