Write the following decimal numbets in expanded form :
Question 1 :
734.56
Question 2 :
28.4
Question 3 :
2.409
Question 4 :
2059.8
Question 5 :
6.44
Question 6 :
0.267
Question 7 :
0.0573
Question 8 :
0.000018
Question 9 :
1.5691 x 102
Question 10 :
8.92 x 10-3
Question 11 :
(2.8 x 101) x (1.76 x 102)
Question 12 :
(6.9738 x 10-1) ÷ (1.97 x 10-2)
Question 13 :
(3.924 x 102) + (5.29 x 102)
Question 14 :
(7.8 x 10-2) + (4.12 x 10-3)
Question 15 :
(2.0 x 10-2) - (1.928 x 10-2)
1. Answer :
= 734.56
Multiply each digit of 23.87 by its corresponding place value.
= 7x100 + 3x10 + 4x1 + 5x¹⁄₁₀ + 6x¹⁄₁₀₀
= 700 + 30 + 4 + ⁵⁄₁₀ + ⁶⁄₁₀₀
= 700 + 30 + 4 + 0.5 + 0.06
2. Answer :
= 28.4
= 2x10 + 8x1 + 4x¹⁄₁₀
= 20 + 8 + ⁴⁄₁₀
= 20 + 8 + 0.4
3. Answer :
= 2.409
= 2x1 + 4x¹⁄₁₀ + 0x¹⁄₁₀₀ + 9x¹⁄₁₀₀₀
= 2 + ⁴⁄₁₀ + 0 + ⁹⁄₁₀₀₀
= 2 + 0.4 + 0.009
4. Answer :
= 2059.8
= 2x1000 + 0x100 + 5x10 + 9x1 + 8x¹⁄₁₀
= 2000 + 0 + 50 + 9 + ⁸⁄₁₀
= 2000 + 0 + 50 + 9 + 0.8
5. Answer :
= 6.44
= 6x1 + 4x¹⁄₁₀ + 4x¹⁄₁₀₀
= 6 + ⁴⁄₁₀ + ⁴⁄₁₀₀
= 6 + 0.4 + 0.04
6. Answer :
= 0.267
= 2x¹⁄₁₀ + 6x¹⁄₁₀₀ + 7x¹⁄₁₀₀₀
= ²⁄₁₀ + ⁶⁄₁₀₀ + ⁷⁄₁₀₀₀
= 0.2 + 0.06 + 0.007
7. Answer :
= 0.0573
= 5x¹⁄₁₀₀ + 7x¹⁄₁₀₀₀ + 3x¹⁄₁₀₀₀₀
= ⁵⁄₁₀₀ + ⁷⁄₁₀₀₀ + ³⁄₁₀₀₀₀
= 0.05 + 0.007 + 0.0003
8. Answer :
= 0.000018
= 1x¹⁄₁₀₀₀₀₀ + 8x¹⁄₁₀₀₀₀₀₀
= ¹⁄₁₀₀₀₀₀ + ⁸⁄₁₀₀₀₀₀₀
= 0.00004 + 0.000008
9. Answer :
= 1.5691 x 102
= 156.91
= 1x100 + 5x10 + 6x1 + 9x¹⁄₁₀ + 1x¹⁄₁₀₀
= 100 + 50 + 6 + ⁹⁄₁₀ + ¹⁄₁₀₀
= 100 + 50 + 6 + 0.9 + 0.01
10. Answer :
= 8.92 x 10-3
= 0.00892
= 8x¹⁄₁₀₀₀ + 9x¹⁄₁₀₀₀₀ + 2x¹⁄₁₀₀₀₀₀
= ⁸⁄₁₀₀₀ + ⁹⁄₁₀₀₀₀ + ²⁄₁₀₀₀₀₀
= 0.008 + 0.0009 + 0.00002
11. Answer :
(2.8 x 101) x (1.76 x 102)
= (2.8 x 1.76) x (101 x 102)
= 4.928 x 102 + 1
= 4.928 x 103
= 4928
= 4x1000 + 9x100 + 2x10 + 8x1
= 4000 + 900 + 20 + 8
12. Answer :
= (6.9738 x 10-1) ÷ (1.97 x 10-2)
= (6.9738 ÷ 1.97) x (10-1 ÷ 10-2)
= 3.54 x 10-1 - (-2)
= 3.54 x 10-1 + 2
= 3.54 x 101
= 35.4
= 3x10 + 5x1 + 4x¹⁄₁₀
= 30 + 5 + ⁴⁄₁₀
= 30 + 5 + 0.4
13. Answer :
= (3.924 x 102) + (5.29 x 102)
Factor 102.
= (3.924 + 5.29) x 102
= 9.214 x 102
= 921.4
= 9x100 + 2x10 + 1x1 + 4¹⁄₁₀
= 900 + 20 + 1 + ⁴⁄₁₀
= 900 + 20 + 0.4
14. Answer :
= (7.8 x 10-2) + (4.12 x 10-3)
= (0.29 x 10-3) + (4.12 x 10-3)
Factor 10-3.
= (0.29 + 4.12) x 10-3
= 4.41 x 10-3
= 0.00441
= 4x¹⁄₁₀₀₀ + 4x¹⁄₁₀₀₀₀ + 1x¹⁄₁₀₀₀₀₀
= ⁴⁄₁₀₀₀ + ⁴⁄₁₀₀₀₀ + ¹⁄₁₀₀₀₀₀
= 0.004 + 0.0004 + 0.00001
15. Answer :
= (2.0 x 10-2) - (1.928 x 10-2)
Factor 10-2.
= (2.0 - 1.928) x 10-2
= 0.072 x 10-2
= 0.00072
= 7x¹⁄₁₀₀₀₀ + 2x¹⁄₁₀₀₀₀₀
= ⁷⁄₁₀₀₀₀ + ²⁄₁₀₀₀₀₀
= 0.0007 + 0.00002
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