which number can each term of the equation be multiplied by to eliminate the decimals before solving?

(-m + 0.02 + 2.1m = -1.45 - 4.81m)

* 0.01
* 0.1
* 10
* 100

Question

which number can each term of the equation be multiplied by to eliminate the decimals before solving?

(-m + 0.02 + 2.1m = -1.45 - 4.81m)

* 0.01
* 0.1
* 10
* 100

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Clearing Decimals", "Linear Equations with Decimals" ], "current_concepts": [ "Clearing Decimals", "Linear Equations with Decimals", "Properties of Equality" ] } ## Identify the decimal places in each term $$ \begin{aligned} &-m \quad \text{(integer coefficient)} \ &0.02 \quad \text{(two decimal places)} \ &2.1m \quad \text{(one decimal place)} \ &-1.45 \quad \text{(two decimal places)} \ &-4.81m \quad \text{(two decimal places)} \end{aligned} $$ ## Determine the power of 10 needed to clear the decimals $$ \begin{aligned} &\text{Maximum decimal places} = 2 \ &\text{Multiplier} = 10^2 = 100 \end{aligned} $$ ## Verify the multiplication $$ \begin{aligned} &100 \times (-m + 0.02 + 2.1m) = 100 \times (-1.45 - 4.81m) \ &-100m + 2 + 210m = -145 - 481m \end{aligned} $$

(A) 0.01

(B) 0.1

(C) 10

(D) 100

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Clearing Decimals" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the decimal places in each term

Determine the power of 10 needed to clear the decimals

Verify the multiplication

Answer: