1. PLACE VALUE WITH DECIMALS

2. How do I know what kind of decimal it is? The name of a decimal is determined by the number of places to the right of the decimal point. Number of PlacesDecimal NameExample 1tenths0.7 2hundredths0.05 3thousandths0.016

3. What are mixed decimals? Mixed decimals are numbers with both whole numbers and decimals. The name of a whole number is determined by the number of places to the left of the decimal point. IIn the number 128.765, 1 is in the hundreds place, 2 is in the tens place, 8 is in the ones place, 7 is in the tenths place, 6 is in the hundredths place, and 5 is in the thousandths place.

4. How do you read decimals? To read a decimal correctly, first find the decimal point. Whole numbers are to the left of the decimal point; any numbers to the right of a decimal point form a decimal fraction. Say “and” for the decimal point. TThe decimal 2,164.511 is read as “two thousand, one hundred sixty-four and five hundred eleven thousandths”

5. Zeros after the decimal point Writing extra zeros after the decimal point does not change the value! TThe decimals 0.2, 0.20, and 0.200 are equivalent decimals.

6. Exercise 1 Write the decimals. 1. Five thousandths 2. Ninety-four thousandths 3. Three hundred thirty-six and sixty-nine hundredths

7. Exercise 1 Answers Write the decimals. 1. Five thousandths - 0.005 2. Ninety-four thousandths - 0.094 3. Three hundred thirty-six and sixty-nine hundredths - 336.69

8. Exercise 2 Write each decimal in words. 1. 7,884.011 2. 5,592.4 3. 4.203 4. 612.250 5. 10.44

9. Exercise 2 Answers Write each decimal in words. 1. 7,884.011- Seven thousand, eight hundred eighty- four and eleven thousandths 2. 5,592.4 - Five thousand, five hundred ninety-two and four tenths 3. 4.203 - Four and two hundred three thousandths 4. 612.250 - Six hundred twelve and two hundred fifty thousandths 5. 10.44 - Ten and forty-four hundredths

10. Exercise 3 In what place value is the underlined digit? 1. 1.475 2. 3.763 3. 7,780.215 4. 412.407 5. 902.103

11. Exercise 3 Answers In what place value is the underlined digit? 1. 1.475 - hundredths 2. 3.763 - ones 3. 7,780.215 - thousandths 4. 412.407 - tenths 5. 902.103 - tens

12. Exercise 4 Write a decimal that has the same value. 1. 0.2 2. 5.51 3. 410.6 4. 753.809

13. Exercise 4 Answers Write a decimal that has the same value. 1. 0.2 – 0.2000000 2. 5.51 – 5.510 3. 410.6 – 410.600 4. 753.809 – 753.8090