Math Problem Statement

1. (a) Calculate 12.6^2 - 4 / sqrt(25) - 3. (b) Write your answer to part (a) correct to 2 decimal places. 2. Express 32% as a fraction and decimal. 3. (a) Round off 35.492 to the nearest whole number.

Solution

Let's go through the questions from the image you uploaded:

Question 1:

(a) Calculate 12.624253\frac{12.6^2 - 4}{\sqrt{25} - 3}

This is a calculation problem where we are asked to evaluate the given expression step by step: 12.624253\frac{12.6^2 - 4}{\sqrt{25} - 3}

Steps:

  1. 12.62=158.7612.6^2 = 158.76
  2. 25=5\sqrt{25} = 5
  3. Subtract the values:
    • Numerator: 158.764=154.76158.76 - 4 = 154.76
    • Denominator: 53=25 - 3 = 2
  4. Finally, 154.762=77.38\frac{154.76}{2} = 77.38

The first five digits are 77.380.

(b) Write the answer to part (a) correct to two decimal places: Answer is 77.38.

Question 2:

Express 32% as: (a) Fraction:

  • 32% means 32100\frac{32}{100}, which simplifies to 825\frac{8}{25}.

(b) Decimal:

  • 32% is the same as 0.32.

Question 3:

(a) Round off 35.492 to the nearest whole number:

  • The nearest whole number is 35.

Do you want more details or explanations on any of these?

Here are 5 related questions for further practice:

  1. What is 18.525494\frac{18.5^2 - 5}{\sqrt{49} - 4}?
  2. How do you express 45% as a fraction?
  3. Round off 42.865 to two decimal places.
  4. Express 58% as a decimal.
  5. What is the square root of 144?

Tip: When simplifying fractions, always look for the greatest common divisor to reduce them to their simplest form!

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Math Problem Analysis

Mathematical Concepts

Basic Arithmetic
Square Roots
Percentage Conversion
Rounding Off

Formulas

Expression Simplification: (Numerator / Denominator)
Square Root Formula: sqrt(x)
Percentage to Fraction Conversion: percentage / 100
Rounding Off Rule

Theorems

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Suitable Grade Level

Grades 6-8