The One-step equations with multiplication and division exercise appears under the 6th grade (U.S.) Math Mission, Algebra basics Math Mission, Mathematics I Math Mission, Algebra I Math Mission and Mathematics II Math Mission. This exercise has one-step equations involving multiplication and division.
Types of Problems
There is one type of problem in this exercise:
- Solve the given equation: This problem provides an equation that requires one operation to solve. The user is expected to find the correct answer and type it in the space provided.
Strategies
Accuracy badges can be attained on this exercise with knowledge of the properties of equality. Speed badges are attainable because there is only one step necessary to arrive at the answers (excepting possible simplification).
- Fraction answers need to be correctly simplified to be accepted.
- When a division problem is given, multiplication solves for the variable. Multiplication is commutative so order is irrelevant.
- When a multiplication problem is given, division solves for the variable. Division is non-commutative so care needs to be taken with the order of division.
Real-life Applications
- Choreographers need to be able to divide the piece they want to perform, into smaller pieces so that everyone will be able to do and give their best, whether they dance or choreograph an orchestra. In the end of the day they need to flow together in harmony and they will use division to accomplish that.
- Multiplication is needed and used by mechanics for repairing cars by multiplying when they overhaul the engine, measure the pistons or just to put in a new gearbox or engine.
- Computers are also equation solvers. Computers were originally invented to solve equations over and over again instead of humans doing the calculations.