Multiplying decimal number by 10,100,1000

Level E Multiplying a decimal number by 10 Example 2 .4 6 x 1 tens units Decimal point tenths hundredths 2 4 x 10 6 2 4 6 = 2.46 x 10 = 24.6 all digits move one place to the left

Multiplying a decimal number by 10 More examples To multiply a decimal number by 10, Simply move all digits 1 places to the left: e.g. 1 1.49 x 10 = 14.9 digits are moved 1 place to left e.g. 2 25.2 x 10 =252 digits are moved 1 place to left

Level E Multiplying a decimal number by 100 Example 6 2 .9 4 x 1 thousands hundreds tens units Decimal point tenths hundredths 6 2 x 100 9 4 = 6 9 2 4 62.94 x 100 = 6294 all digits move two places to the left

Multiplying a decimal number by 100 More examples To multiply a decimal number by 100, Simply move all digits 2 places to the left e.g. 1 1.575 x 100 = 157.5 digits are moved 2 places to left e.g. 2 2.3 x 100 = 230 digits are moved 2 places to left Add place holder 0 in units place

Level E Multiplying a decimal number by 1000 Example .9 3 5 x 1 00 hundreds tens units Decimal point tenths hundredths thousandths 9 3 x 1000 5 = 3 5 9 .935 x 1000 = 935 all digits move three places to the left

Multiplying a decimal number by 1000 More examples To multiply a decimal number by 1000, Simply move all digits 3 places to the left e.g. 1 2.3791 x 1000 = 2379.1 digits are moved 3 places to left e.g. 2 0.465 x 1000 = 465 digits are moved 3 places to left

Try these 1) 1.575 x 100 2) 0.125 x 10 3) 12.5 x 1000