11 Thousandths Of An Inch

Three Decimal Digits - Thousandths

This is a complete lesson with instruction and exercises about decimals with three decimal digits: writing them as fractions, place value & expanded form, and decimals on a number line. It is meant for 5th form.

In the video below, I explicate decimals with three decimal digits—or thousandths—using fractions and a number line. Then I show examples of converting fractions to decimals and vice versa.

This square illustrates i whole. Information technology is divided into a hundred parts or hundredths. The top left square is divided into ten new parts. Those are thousandths . The vi shaded parts represent 6 1000 , or 0.006 (six thousandths). The third decimal digit from the decimal point is the thousandths digit. For example, 0.008 is eight thousandths. Read the whole set up of three decimal digits every bit a number, and say "thousandths." 0.391 is read "391 thousandths." As a fraction, it is 391 1000 . 0.047 is read "47 thousandths." As a fraction, it is 47 1000 .

From the identify value nautical chart, we can see that the number 0.825 has viii tenths, ii hundredths, and five thousandths. Writing 0.825 as a sum of those "parts" is chosen writing it in expanded course . O t h th 0 . 8 two 5 0.825 = viii × 1 10  +  2 × 1 100  +  5 × 1 1000

While 0.825 is the sum of 8/10, ii/100, and 5/1000, information technology is as well 825/one thousand (825 thousandths). How tin can that be? Considering 8/10 is equal to 800/g and two/100 is equal to twenty/m. Then, when you add 8/10, ii/100, and 5/1000, you lot will become 825/g.

i. Write the numbers in their expanded grade. Write them also as fractions. The first one is done for you lot.

a. O t h th 0 . nine 0 6 = 906 m     = nine × i x  +  0 × ane 100  +  half dozen × 1 1000	b. O t h th 0 . 2 four 4 =     =  × 1 x  +  × 1 100  +  × ane 1000
c. O t h th 0 . 6 5 v =     =  × 1 x +	d. O t h th 0 . 1 8 =
eastward. O t h thursday 0 . 8 0 2 =     =  × 1 10 +	f. O t h th 0 . 7 1 1 =

two. These numbers have besides hundreds, tens, and ones. Write the numbers in the expanded form. Follow
the instance.

c. T O t h thursday 4 . ix 0 ii  =  × 1  +

d. T O t h th 7 iv . 7 2  =

east. H T O t h th 1 five 1 . 9  =  × 100  +

f. H T O t h th 7 6 5 . 2 four 4  =  × 100  +

3. Write the decimals in the place value charts, and every bit fractions.

a.  7 thousandths =	b.  eight tenths and 2 thousandths	c.  3 and 371 thousandths
d.  39 thousandths	e.  ane and 41 hundredths	f.  7 and four thousandths

4. Write in expanded class.

a. 0.95  =

b. 1.405  =

c. 244.781 =

d. 65.05  =

e. twenty.214  =

This number line has tick marks at every hundredth. For thousandths, we would need to dissever each such interval into ten new intervals. Imagine that in betwixt each two tick marks there are 9 little lines. Those would correspond thousandths. The numbers 0.052, 0.145, 0.228, and 0.304 are marked on the number line. Tin you find them?

Reminder: You can "tag" zeros on the terminate of a decimal number, and its value volition not change:

5. Fill in with the kind of parts you get.

    When y'all carve up one whole into x equal parts, you get _________________________________.

    When you divide one tenth into 10 equal parts, y'all become  _________________________________.

    When you divide one hundredth into ten equal parts, y'all get ______________________________.

half dozen. Write the decimals indicated past the arrows.

    a. ____________ b. ____________ c. ____________ d. ____________ east. ____________

seven. Mark these decimals on the number line: 0.187, 0.205, 0.252, 0.301, and 0.314.

8. Write the fractions as decimals.

a. 3 1000 =	b. 12 1000 =	c. 319 1000 =	d. l 1000 =
e. 4 34 1000 =	f. two iv 1000 =	g. 3 iii 100 =	h. 1 80 100 =
i.  17 3 yard =	j. 649 grand =	k. ix i 100 =	l.  50 619 1000 =

9. Write equally fractions or mixed numbers.

a.  0.048	b.  3.902	c.  3.005	d.  vi.vii
e.  10.06	f.  12.060	1000. 7.xc	h.  0.429
i.  505.5	j.  iv.789	k. 0.091	l.  5.42

10. What number is formed from the "parts"? Give your answer as a decimal.

a. iii chiliad + two 10 + seven 100  =	b. 8 10 + 1 + 9 100  =
c. 2 ten + 7 + 3 1000  =	d. five 10 + xc + 2 100  = 8 one thousand  =
eastward. 1 x + seven + 8 one thousand  + 10 =	f.  200 + eight 1000  + five =

11. X tenths makes ane whole. Nosotros can write that as a multiplication: 10 × 0.1 = 1. (Notation: the word
"makes" corresponds to the equal sign, but there is no word to correspond to the multiplication sign; it is
implied.) Fill in the sentences below, and write a multiplication sentence to match each one.
  Hint: The moving picture of the big square in the first folio of this lesson can help.

	a. ________ thousandths makes a hundredth.	_______ × _______ = _______
	b. ________ hundredths makes a tenth.	_______ × _______ = _______
	c. ________ thousandths makes a tenth.	_______ × _______ = _______
	d. ________ hundredths makes one whole.	_______ × _______ = _______

12. Use the place value chart to help you, and write the decimal that is....

a. O t h th 0 . ii 8 v one 10th more than 0.285            _________ 1 hundredth more than 0.285    _________ one thousandth more than than 0.285   _________	one tenth more than 0.016            _________ ane hundredth more than 0.016    _________ i thousandth more than 0.016   _________
1 10th more than 1.07            _________ one hundredth more than one.07    _________ one thousandth more 1.07   _________	one tenth more than 0.nine            _________ one hundredth more than than 0.9    _________ one thousandth more than than 0.ix   _________
5 tenths more than 2.316           _________ six hundredths more than than ii.316     _________ two thousandths more than two.316   _________	x more than than 1.08            _________ i hundredth more i.08    _________ ix thousandths more than one.08   _________

13. Place the numbers in the cross-number puzzle. The squares take been left white so as not to prove how many digits the numbers have. After completing the puzzle, you can color or shade the squares that are left empty.
Across: a. two and 49 thousandths   c. two and 7 hundredths d. five hundredths due east. 71 hundredths f. 392 thousandths	Down: a. 2 and nine hundredths b. three and 76 thousandths c. two and five tenths d. 3 thousandths east. two tenths

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This lesson is taken from Maria Miller's book Math Mammoth Decimals two, and posted at www.HomeschoolMath.net with permission from the author. Copyright © Maria Miller.

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Math Mammoth Decimals 2

A cocky-teaching worktext for fifth-6th class that covers the four operations with decimals up to three decimal digits, concentrating on decimal multiplication and partition. The volume too covers place value, comparison, rounding, add-on and subtraction of decimals. There are a lot of mental math bug.

Download ($6.25). Also available every bit a printed copy.

=> Larn more and see the free samples!

11 Thousandths Of An Inch,

Source: https://www.homeschoolmath.net/teaching/d/thousandths.php

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