WRITING DECIMALS IN EXPANDED FORM

The decimal point or dot separates the whole number part to
the left of the dot, from the fractional part to the right of the dot.

If the whole number part is zero, we write a zero in front of the decimal point. So, we write
0:37 instead of :37.

place-value-of-decimal

Write the expanded form of each number.

Problem 1 :

36.17

Solution :

36.17

Multiply each digit of 36.17 by its corresponding place value.

= 3 × 10 + 6 × 1 + 1 × 110 + 7 × 1100=30 + 6 + 110 + 7100

= 30 + 6 + 0.1 + 0.07

Problem 2 :

82.05

Solution :

82.05

Multiply each digit of 82.05 by its corresponding place value.

= 8 × 10 + 2 × 1 + 0 × 110 + 5 × 1100=80 + 2 + 0 + 5100

= 80 + 2 + 0.05

Problem 3 :

759.28

Solution :

759.28

Multiply each digit of 759.28 by its corresponding place value.

= 7 × 100 + 5 × 10 + 9 × 1 + 2 × 110 + 8 × 1100=700 + 50 + 9 + 210 + 8100

= 700 + 50 + 9 + 0.2 + 0.08

Problem 4 :

819.48

Solution :

819.48

Multiply each digit of 819.48 by its corresponding place value.

= 8 × 100 + 1 × 10 + 9 × 1 + 4 × 110 + 8 × 1100=800 + 10 + 9 + 410 + 8100

= 800 + 10 + 9 + 0.4 + 0.08

Problem 5 :

7,829.84

Solution :

7,829.84

Multiply each digit of 7,829.84 by its corresponding place value.

= 7 × 1000 + 8 × 100 + 2 × 10 + 9 × 1 + 8 × 110 + 4 × 1100 =7000 + 800 + 20 + 9 + 810 + 4100

= 7000 + 800 + 20 + 9 + 0.8 + 0,04

Problem 6 :

9,027.47

Solution :

9,027.47

Multiply each digit of 9,027.47 by its corresponding place value.

= 9 × 1000 + 0 × 100 + 2 × 10 + 7 × 1 + 4 × 110 + 7 × 1100 =9000 + 0 + 20 + 7 + 410 + 7100

= 9000 + 0 + 20 + 7 + 0.4 + 0,07

Problem 7 :

4,281.33

Solution :

4,281.33

Multiply each digit of 4,281.33 by its corresponding place value.

= 4 × 1000 + 2 × 100 + 8 × 10 + 1 × 1 + 3 × 110 + 3 × 1100 =4000 + 200 + 80 + 1 + 310 + 3100

= 4000 + 200 + 80 + 1 + 0.3 + 0,03

Problem 8 :

2,958.78

Solution :

2,958.78

Multiply each digit of 2,958.78 by its corresponding place value.

= 2 × 1000 + 9 × 100 + 5 × 10 + 8 × 1 + 7 × 110 + 8 × 1100 =2000 + 900 + 50 + 8 + 710 + 8100

= 2000 + 900 + 50 + 8 + 0.7 + 0,08

Problem 9 :

1,582.09

Solution :

1,582.09

Multiply each digit of 1,582.09 by its corresponding place value.

= 1 × 1000 + 5 × 100 + 8 × 10 + 2 × 1 + 0 × 110 + 9 × 1100 =1000 + 500 + 80 + 2 + 0 + 9100

= 1000 + 500 + 80 + 2 + 0 + 0,09

Problem 10 :

6,821.35

Solution :

6,821.35

Multiply each digit of 6,821.35 by its corresponding place value.

= 6 × 1000 + 8 × 100 + 2 × 10 + 1 × 1 + 3 × 110 + 5 × 1100 =6000 + 800 + 20 + 1 + 310 + 5100

= 6000 + 800 + 20 + 1 + 0.3 + 0,05

Problem 11 :

3,550.89

Solution :

3,550.89

Multiply each digit of 3,550.89 by its corresponding place value.

= 3 × 1000 + 5 × 100 + 5 × 10 + 0 × 1 + 8 × 110 + 9 × 1100 =3000 + 500 + 50 + 0 + 810 + 9100

= 3000 + 500 + 50 + 0 + 0.8 + 0,09

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