Page 163 - Start Up Mathematics_6

Example 12: Write the numbers given in the following place value table in decimal form.

Tenths Hundredths Thousandths
Hundreds Tens Ones 1 1 1
(100) (10) (1) 10 100 1,000

(a) 0 0 5 2 5 0
(b) 2 0 2 5 3 0

Solution: (a) 0 Hundreds + 0 Tens + 5 Ones + 2 Tenths + 5 Hundredths + 0 Thousandths
1 1 1
= 0 × 100 + 0 × 10 + 5 × 1 + 2 × 10 + 5 × 100 + 0 × 1,000

2 5
= 0 + 0 + 5 + + + 0 = 5.25
10 100
(b) 2 Hundreds + 0 Tens + 2 Ones + 5 Tenths + 3 Hundredths + 0 Thousandths

1 1 1
= 2 × 100 + 0 × 10 + 2 × 1 + 5 × + 3 × + 0 ×
10 100 1,000
5 3
= 200 + 0 + 2 + + + 0 = 202.53
10 100
Example 13: Write the following decimals in the place value table.

(a) 0.39 (b) 3.01 (c) 500.813

Solution: Hundreds Tens Ones Tenths Hundredths Thousandths
(a) 0 0 0 3 9 0
(b) 0 0 3 0 1 0
(c) 5 0 0 8 1 3

Example 14: Write each of the following as decimals.

4 1 2 3 4 9
(a) 56 + 9 + + (b) 137 + (c) + +
10 100 100 10 100 1,000
4 1 1 1
Solution: (a) 56 ++ + = 65 +× +× = 65 41.
4
9
1
10 100 10 100
2 1 1
(b) 137 + = 137 +× +× = 137 02.
0
2
100 10 100
3 4 9 1 1 1
4
9
3
(c) + + =× +× +× = 0.349
10 100 1 000, 10 100 1 000,
Example 15: Write each of the following decimals in words.
(a) 0.04 (b) 50.07 (c) 0.038 (d) 314.56
Solution: (a) 0.04 — Zero point zero four

(b) 50.07 — Fifty point zero seven

(c) 0.038 — Zero point zero three eight

(d) 314.56 — Three hundred fourteen point five six

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