Overview: 4 questions will be solved this time.Among them
☆1 equations
☆2 calculations of prime factor
☆1 convert the decimals to fractions
[ 1/4 Digital analysis ]
Work: Convert decimal 4.376096 to fractional form.
Question type: Convert decimal to fraction
Solution:
*Note: Convert finite decimal to fraction.[2/4 Digtal analysis]
Work:Break 3760832 into prime factors.
Question type: Resolving prime factor
Solution:
3760832=2*2*2*2*2*2*58763 *Note: 3760832 has 7 prime factors.[3/4 Digtal analysis]
Work:Break 19767728 into prime factors.
Question type: Resolving prime factor
Solution:
19767728=2*2*2*2*53*23311 *Note: 19767728 has 6 prime factors.[ 4/4 Equation]
Work: Find the solution of equation 30-18x = 11-2x+7-20 .
Question type: Equation
Solution:Original question: | 30 | − | 18 | x | = | 11 | − | 2 | x | + | 7 | − | 20 |
Right side of the equation = | - | 2 | − | 2 | x |
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
Combine the items on the right of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
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