Math Problem Statement

A student used a calculator to work out that 2 / (1.5 + 2.45) is 0.5063291139... Write this answer correct to 2 decimal places.

Solution

The problem shows the calculation:

21.5+2.45=0.5063291139\frac{2}{1.5 + 2.45} = 0.5063291139\ldots

We need to round this value to two decimal places.

Rounding 0.50632911390.5063291139\ldots to two decimal places gives:

0.510.51

Answer:

The answer, correct to 2 decimal places, is 0.51.

Would you like more details or have any questions?

Here are some related questions:

  1. How do you round numbers to different decimal places?
  2. What are the rules for rounding numbers?
  3. How can rounding affect the accuracy of calculations?
  4. What are significant figures, and how are they different from decimal places?
  5. Why is rounding important in real-world applications?

Tip: When rounding, if the digit after your target decimal place is 5 or greater, round up!

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Decimals
Rounding

Formulas

Fraction Simplification
Rounding Rules

Theorems

Rounding Theorem (5 or greater, round up)

Suitable Grade Level

Grades 5-7