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Can equations be multiplied?

Posted on August 24, 2022 by Author

Table of Contents

  • 1 Can equations be multiplied?
  • 2 Why must every term in an equation be multiplied by the same number?
  • 3 Can you multiply both sides of an equation by zero?
  • 4 Can you multiply both sides by a variable?

Can equations be multiplied?

There is no ideal equity multiplier. It will vary by the sector or industry a company operates within. An equity multiplier of 2 means that half the company’s assets are financed with debt, while the other half is financed with equity.

Why must every term in an equation be multiplied by the same number?

There need only be one numerical factor in a term, because the commutative and associative rules enable you to move all of your numerical factors together and multiply them up to get a single numerical factor, which the commutative rule says you can write at the left hand side of the term.

Can multiply both sides of an equation by the same term?

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Multiplication Property of Equality If two expressions are equal to each other and you multiply both sides by the same number, the resulting expressions will also be equivalent. Stated simply, when you divide or multiply both sides of an equation by the same quantity, you still have equality.

Can you multiply and divide unlike terms?

When adding or subtracting terms in an expression, you can only combine like terms, which are composed of only the same variables. However, you can multiply or divide terms whether they are like terms or not.

Can you multiply both sides of an equation by zero?

Multiplying anything by zero gives you zero. So, although both sides of your equation become zero when you do this, it doesn’t mean that they were equal at the start. Arithmetic proofs of (in)equality are only valid if each step guarantees that the results could only be equal if the inputs were equal.

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Can you multiply both sides by a variable?

You may multiply both sides of an equation by the same number. Of course multiplying both sides by zero gives 0 = 0, which is true but is of almost no practical use in solving problems. You may divide anything by any number that is not zero.

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