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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 one-tenth 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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