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Thousandths. Lesson 4.7. Pop Quiz. Complete the addition and subtraction problems on the front. On the back the words below in numerical notation A. 5 tenths B. 6 tenths C. 2 & 3 tenths D. 7 hundredths E. 86 hundredths F. 4&13 hundredths G. 2 thousandths H. 35 thousandths
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Thousandths Lesson 4.7
Pop Quiz • Complete the addition and subtraction problems on the front. • On the back the words below in numerical notation A. 5 tenths B. 6 tenths C. 2 & 3 tenths D. 7 hundredths E. 86 hundredths F. 4&13 hundredths G. 2 thousandths H. 35 thousandths I. 563 thousandths
Using Base-10 Blocks • This big cube=10 flats • Work with a buddy, show it on your desk by using ten flats • Since 1big cube = 10 flats, • 1 flat is 1/10 of the big cube • Since 1 flat= 10 longs, 1 big cube must have 10 times as many longs; • That is 100 longs, 1 long is 1/100 of a big cube
Using Base - 10 Blocks • Open your journal to page 94. • Let’s use our base - 10 blocks to learn more. • Since 1 big cube = 100 longs, and 1 long= 10 cubes, 1 big cube must have 10*100 cubes • That is 1,000 cubes • 1 big cube = 1,000 • 1 cube is 1/1000 of a big cube
Modeling Decimals with Base - 10 Blocks • Think of the big cube as ONE • Imagine you are going to trade 235 cubes for flats and longs so that you have as few base-10 blocks as possible. • How many flats would we have? • How many longs? • How many cubes would be left?
Modeling Decimals with Base - 10 Blocks • If the big cube as ONE, then 235 cubes can be represented • by fraction 235/1,000 or • by decimal 0.235 is read as “235 thousandths”. • It can also be read “point two three five”
0.235 • The digit before the decimal names the big cubes, (Whole Numbers) • The first digit after the decimal names the number of flats, (Tenths) • The second digit after the decimal names the number of longs, (Hundredths) • The third digit after the decimal names the number of cubes, (Thousandths)
Math Master 4-7 • Why must the decimal for a fraction 64/1,000 have a zero after the decimal point? • Why does the decimal for 8/1,000 have two zeros after the decimal point?
Math Master 4-7 • If there are fewer than 1,000 cubes, is the fraction (and the equivalent decimal) less than or greater than 1? • How many cubes are needed to show a number that is at least one? • Using Base - 10 Block representation show 1,843 cubes • Write it in decimal form • Read it to your buddy
Practice Reading Decimals • Say these decimals out loud • Read the whole number part • Say “and” • Read the digits after the decimal point as though they are a whole number. • Say “tenths”, “hundredths”, or “thousandths” as appropriate. 0.581 15.024 0.072 15.24 0.006 34.09 3.703
Practice Writing Decimals • Name the decimal and write it on your white board 367 thousandths 3 thousandths 51 thousandths 5 and 79 hundredths 9 and 634 thousandths 7 and 8 tenths
Independent Practice • Try it - Complete journal page 95. • Use fractions • Use decimals • Use Base - 10 Blocks • Check with a buddy when you finish
Homework • Study Links 4.7 • Completing decimals similar to journal pages 94 and 95
Centers • Math Boxes • Playing Base - 10 Exchange • Multiplication Baseball • Meet with the teacher • EDM games Online • First In Math