EXPONENTS

43 means…- 4 to the power of 3- 4 multiplied by itself 3

times- 4 x 4 x 4- = 64

EXPONENTS

52

- 5 to the power of 2- 5 x 5 = 2525

- 2 to the power of 5- 2 x 2 x 2 x 2 x 2 = 32

POWERS OF 10

8 452 631 212Each number can be broken down to its place value…- 8 000 000 000 (8 billion – billions place value)- 400 000 000 (400 million – hundred millions)- 50 000 000 (50 million – ten millilons)- 2 000 000 (2 million - millions)- 600 000 (600 thousand – hundred thousands)- 30 000 (30 thousand – ten thousands)- 1 000 (1 thousand - thousands)- 200 (2 hundred – hundreds)- 10 (ten – tens)- 2 (two – units)

POWERS OF 10

2.349128Decimals can be broken down the same way…- 2 (two – units)- 0.3 (3 tenths – tenths column)- 0.04 (4 hundredths – hundredths)- 0.009 (9 thousandths – thousandths)- 0.0001 (1 ten thousandth)- 0.00002 (2 hundred thousandths)- 0.000008 (8 millionths)- … and so on…

POWERS OF 10Powers of 10 can also be written like this…- 100 = 102

- 1 000 = 103

- 10 000 = 104

- 100 000 = 105

- Notice that the exponent after the 10 represents the number of zeros in the expanded form.

POWERS OF 10400 000 can also be written as…

4 x 105

- expanded, it would look like…- 4 x 10 x 10 x 10 x 10 x 10- = 400 000