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What is the sum of 0.743 using powers of 10 to show place value?
Solution:
The number 0.743 can be shown as the sum of three numbers 7, 4, and 3 as shown below:
The place value of 3 is thousandth or 1/1000 or 10^{3}.
The place value of 4 is hundredth or 1/100 or 10^{2}
The place value of 7 is onetenth or 10^{1}
The table below shows 0.743 shows comprehensively as a sum of numbers 7, 4, 3 with the powers of 10.
0.743 = 7 × 10^{1} + 4 × 10^{2} + 3 × 10^{3}.
Tenth Place 
Hundredth Place 
Thousandth Place 


Number 
7 
4 
3 
Power 
10⁻¹ or 0.1 
10⁻² or 0.01 
10⁻³. Or 0.001 
Decimal Form 
7 × 10⁻¹ = 0.7 
4 × 10⁻² = 0.04 
3 × 10⁻³.= 0.3 
0.7
0.04
+0.003

0.743
What is the sum of 0.743 using powers of 10 to show place value?
Summary:
0.743 can be represented as the sum of 7 × 10^{1} + 4 × 10^{2} + 3 × 10^{3}
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