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\\February 16, 2024 2:22 PM Surender Prajapati Proof 5 Reader _________________________ Date: ___________________74

Encapsulate
math
deCIMAL NUMber
51 •43
Whole number part Decimal part
Decimal point

tenths, Hundredths, and thousandths decimal Place Value Chart

Hundreds tens Ones tenths Hundredths thousandths
(100) (10) (1) 1 1 1
10 100 1000
tenths Hundredths thousandths 2 4 5 2 4 3
1
1
1
10 = 0.1 100 = 0.01 1000 = 0.001 245.243: Two hundred forty-five point two four three
2 × 100 + 4 × 10 + 5 × 1 + 2 × 1 + 4 × 1 + 3 × 1
Conversion of Fractions 10 100 1000
Whole number Fractional part
Conversion of Fractions to decimals
4 8 27
(a) = 0.4 (b) = 0.08 (c) = 0.027
10 100 1000 Like and Unlike decimals
Conversion of decimals to Fractions
5 24 4 Like decimals:
(a) 0.5 = (b) 0.24 = (c) 0.004 =
10 100 1000 Decimals having the same number of decimal places.
3 E.g., 0.24, 5.73, 12.40, 127.00
(d) 12 = 12.003
1000 Unlike decimals:
Decimals having different number of decimal places.
Conversion of unlike decimals to like decimals E.g., 0.64, 26.8 and 124.568

E.g., 4.54, 5.4, 0.04, 0.1, 1.9, 2.087, 9.9
Clearly, 2.087 has maximum number of decimal places
which is 3. Therefore, 4.540, 5.400, 0.040, 0.100, 1.900, Comparing and Ordering decimals
2.087 and 9.900 are like decimals.
124.367 > 124.36 H t O • th hth tth
Ascending order of the 1 2 4 • 3 6 7
Addition and Subtraction of decimals decimals 0.6, 0.73, 0.008, 0.062 1 2 4 • 3 6 0 7 > 0
Same
Addition Subtraction are: 0.008 < 0.062 < 0.6 < 0.73
H t O • t O • t h th
4 1 • 2 4 • 4 1 7
3 5 • 6 • 1 Multiplication of decimals
+ 3 1 • 7 – 2 0 6
1 0 8 • 5 2 • 3 1 1
Multiplication of decimals by 10, 100 and 1000:
(a) 45.8 × 10 = 458.0 (b) 65.149 × 100 = 6514.9
division of decimals (c) 21.006 × 1000 = 21006.0 = 21006
division of decimals by 10, 100 and 1000: Multiplication of decimals by a whole number:
(a) 47.8 ÷ 10 = 4.78 (b) 65.2 ÷ 100 = 0.652 E.g., 3 6 3 5 3 6 3 5
•
6
6
(c) 583.0 ÷ 1000 = 0.583 × 2 1 8 1 0 × 2 1 8 1 0
•
division of decimals by a whole number: Two decimal places
E.g., 15.52 by 4 Thus, 36.35 × 6 = 218.1
15.52 ÷ 4 = 3.88 Multiplication of decimals by another decimals:
division of decimals by another decimals: E.g., 3.21 × 4.25 = 13.6425
775
E.g., 7.75 ÷ 0.25 = = 31 2 decimal places 2 decimal 4 decimal places
25 places

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