104
Decimal places: thousandths
Textbook: Part 3, lesson 104, pp. 104–106
GoalThe thousandths place: changing fractions with denominator 1 000 into decimals; reading them.
New words
one thousandth · mingdan birthousandths place · mingdan birlar xonasithree-place decimal · uch xonali kasrprecise measuring · aniq o‘lchash
Explanation
To measure even more precisely, split a hundredth into 10 parts: 1/1 000 = 0.001. This is the third place, the thousandths place. A fraction with denominator 1 000 becomes a decimal with three digits after the point: 236/1 000 = 0.236; 5 47/1 000 = 5.047. 4.582 is four and five hundred eighty-two thousandths.
Worked examples
57/1 000 = 0.057: 0 is in the tenths place, 5 in the hundredths place and 7 in the thousandths place.
6.124 = 6 124/1 000.
Class activity
“Which place?”: the teacher writes numbers like 3.517 and children hold up cards saying which place a pointed digit is in.
Practice
1
Write 389/1 000 as a decimal.
0.389
2
Write 9 61/1 000 as a decimal.
9.061
3
Write 8.705 as a common fraction.
8 705/1000
4
Read 27.045 in words.
twenty-seven and forty-five thousandths
5
In 5.382, which place is the digit 8 in?
the hundredths place