Math Problem Statement

Emily is thinking of a number, which she calls n. She finds 1/4 of the number and then subtracts 3. Write an expression to represent Emily’s number.

Solution

The problem states:

"Emily is thinking of a number, which she calls nn. She finds 14\frac{1}{4} of the number and then subtracts 3."

To express this mathematically:

  1. Start by representing Emily's number as nn.
  2. To find 14\frac{1}{4} of nn, multiply nn by 14\frac{1}{4}, which gives 14n\frac{1}{4}n.
  3. Then subtract 3 from this expression, resulting in:

14n3\frac{1}{4}n - 3

This is the correct expression that represents Emily's number after following the given steps.

Would you like more details or have any questions?

Here are 5 related questions to expand on this concept:

  1. How would the expression change if she found 12\frac{1}{2} of the number instead?
  2. What would the expression look like if she subtracted 5 instead of 3?
  3. If n=8n = 8, what is the value of the expression 14n3\frac{1}{4}n - 3?
  4. Can you rewrite the expression using decimal values instead of fractions?
  5. How would the expression change if Emily added 3 instead of subtracting 3?

Tip: When working with fractions, remember that multiplying a number by a fraction is the same as finding a part of the number.

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Math Problem Analysis

Mathematical Concepts

Algebra
Fractions
Basic Arithmetic Operations

Formulas

Expression: (1/4)n - 3

Theorems

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Suitable Grade Level

Grade 6-8