Base 10 review

4x10⁵+5x10⁴+

3x10³+8x10²+

6x10¹+0x10^-1+

8x10^-2+9x10^-3

4x10⁴+5x10³+

3x10²+8x10¹+

6x10⁰+0x10¹+

8x10²+9x10³

4x10⁴+5x10³+

3x10²+8x10¹+

6x10⁰+0x10^-1+

8x10^-2+9x10^-3

(4x10⁴)+(5x10³)+(3x10²)+(8x10¹)+(6x10⁰)+(0x10^-1)+(8x10^-2)+(9x10^-3)

(56x5) + (56x90)

(6x5)+(50x5)+(6x9)+(50x9)

(6x5)+(50x5)+(6x90)+(50x90)

(50+6)x(90+5)

commutative property

associative property

distributive property

multiplicative identity property

commutative property

associative property

distributive property

multiplicative identity property

Regrouping once you have a bundle of 10

With every shift in place value, the value of the digits become 10 times greater or 10 times smaller moving left or right

If it is necessary to "borrow" (regroup from the larger place value to the left over to the smaller place value next door), it is always a bundle of 10 that is added to the smaller place value.

Only the numerals 0-9 are used to build our numbers

With every shift to the right in a number, the value of the digits are $$\frac{1}{10}$$ the value of the digits to the left.