Math Problem Statement

Question 1: Express the following rational numbers as decimals. (i) 42/100 (ii) 327/500 (iii) 15/4

Solution

Let's convert each of the given rational numbers to decimal form.

(i) 42100\frac{42}{100}: 42100=0.42\frac{42}{100} = 0.42 So, 42100=0.42\frac{42}{100} = 0.42.

(ii) 327500\frac{327}{500}: To convert this fraction to decimal, divide 327 by 500: 327500=0.654\frac{327}{500} = 0.654 So, 327500=0.654\frac{327}{500} = 0.654.

(iii) 154\frac{15}{4}: To convert this fraction to decimal, divide 15 by 4: 154=3.75\frac{15}{4} = 3.75 So, 154=3.75\frac{15}{4} = 3.75.

Summary:

  • 42100=0.42\frac{42}{100} = 0.42
  • 327500=0.654\frac{327}{500} = 0.654
  • 154=3.75\frac{15}{4} = 3.75

Would you like more details or explanations on any of these?

Here are some related questions:

  1. How do you convert a fraction to a decimal?
  2. What is a terminating decimal and how does it relate to rational numbers?
  3. How would you convert a repeating decimal into a fraction?
  4. What are rational and irrational numbers?
  5. How do you simplify fractions before converting them to decimals?

Tip: When converting fractions to decimals, always try dividing the numerator by the denominator to get the decimal form directly.

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Math Problem Analysis

Mathematical Concepts

Fractions
Decimal Conversion
Rational Numbers

Formulas

Decimal conversion: Divide the numerator by the denominator

Theorems

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Suitable Grade Level

Grades 5-7