Decimals





** D **** ECIMALS: FAST FACTS **

**O ****ne decimal place ** to the right of the decimal point is the "tenths" place, but one decimal place to the left of the decimal point is the "ones" place. The "tens" place is two places to the left.
 * = PLACE VALUE AND DECIMALS ||
 * = [[image:http://www.mathgoodies.com/lessons/decimals/images/millions.gif width="22" height="49"]] ||= [[image:http://www.mathgoodies.com/lessons/decimals/images/hundred_thousands.gif width="22" height="114"]] ||= [[image:http://www.mathgoodies.com/lessons/decimals/images/ten_thousands.gif width="22" height="84"]] ||= [[image:http://www.mathgoodies.com/lessons/decimals/images/thousands.gif width="22" height="64"]] ||= [[image:http://www.mathgoodies.com/lessons/decimals/images/hundreds.gif width="22" height="59"]] ||= [[image:http://www.mathgoodies.com/lessons/decimals/images/tens.gif width="22" height="27"]] ||= [[image:http://www.mathgoodies.com/lessons/decimals/images/ones.gif width="22" height="35"]] ||= [[image:http://www.mathgoodies.com/lessons/decimals/images/and_gg.gif width="9" height="24"]] ||= [[image:http://www.mathgoodies.com/lessons/decimals/images/tenths.gif width="22" height="41"]] ||= [[image:http://www.mathgoodies.com/lessons/decimals/images/hundredths.gif width="22" height="70"]] ||= [[image:http://www.mathgoodies.com/lessons/decimals/images/thousandths.gif width="22" height="80"]] ||= [[image:http://www.mathgoodies.com/lessons/decimals/images/ten_thousandths.gif width="22" height="101"]] ||= [[image:http://www.mathgoodies.com/lessons/decimals/images/hundred_thousandths.gif width="22" height="127"]] ||= [[image:http://www.mathgoodies.com/lessons/decimals/images/millionths.gif width="22" height="63"]] ||
 * =  ||=   ||=   ||=   ||=   ||= **5** ||= **7** ||= **.** ||= **4** ||= **9** ||=   ||=   ||=   ||=   ||

Fractions are Decimals/Decimals are Fractions **Comparing Fractions**
 * = **phrase** ||= **fraction** ||= **decimal** ||
 * = six tenths ||= [[image:http://www.mathgoodies.com/lessons/decimals/images/six_tenths.gif width="20" height="36" align="center"]] ||= .6 ||
 * = five hundredths ||= [[image:http://www.mathgoodies.com/lessons/decimals/images/five_hundredths_A.gif width="26" height="34" align="center"]] ||= .05 ||
 * = thirty-two hundredths ||= [[image:http://www.mathgoodies.com/lessons/decimals/images/32_hundredths.gif width="26" height="36" align="center"]] ||= .32 ||
 * = two hundred sixty-seven thousandths ||= [[image:http://www.mathgoodies.com/lessons/decimals/images/267_thousandths.gif width="33" height="36" align="center"]] ||= .267 ||

To compare fractions, first look at the whole numbers, if they are the same or there are no whole numbers, start from the left and compare. The first digit that is larger is the larger number.

Example- **Let's compare these decimals using a place-value chart** **Which is biggest 0.57 or 0.549?** Notice that the 7 is larger than the 4, so the top number is larger
 * = ones ||=  ||= tenths ||= hundth ||= thousth ||
 * = 0 ||= . ||= 5 ||= 7 ||=  ||
 * = 0 ||= . ||= 5 ||= 4 ||= 9 ||

**T ****o add and subtract decimals **, line up the decimal points, use place-holding zeros.  Note: Whole numbers are understood to have a decimal point to the right of the ones place. 12 - 4.08= 12.00 __ -4.08﻿ __ 7.92

**W ****hen multiplying decimals **, don't consider decimal places until the problem is solved. Count all places to the right of the decimal point in the problem. Count that number of places in the product (the answer) starting from the right. 0.004 x 0.02 = 0.004  __X 0.02__   0.00008

(It becomes 4 X 2, with 5 digits to the right of the decimals, so  the 8 is 5 places to the right of the decimal)

**__ Games with Decimals __** []

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**__ Extra Practice Sheets __** []

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