Math Problem Statement

a) Write 3.25 × 10⁴ as an ordinary number. b) Write 6.04 × 10⁻³ as an ordinary number. c) Write 2,400,000 in standard form. d) Write 0.00147 in standard form.

Solution

This image contains questions related to converting numbers between standard form and ordinary form. Let's address each question one by one:

a) Write 3.25 × 10⁴ as an ordinary number:

To convert this into an ordinary number, move the decimal point 4 places to the right because the exponent is positive. 3.25×104=325003.25 \times 10^4 = 32500

b) Write 6.04 × 10⁻³ as an ordinary number:

Since the exponent is negative, move the decimal point 3 places to the left: 6.04×103=0.006046.04 \times 10^{-3} = 0.00604

c) Write 2,400,000 in standard form:

For 2,400,000, the decimal point is moved 6 places to the left to get: 2,400,000=2.4×1062,400,000 = 2.4 \times 10^6

d) Write 0.00147 in standard form:

Move the decimal point 3 places to the right to get: 0.00147=1.47×1030.00147 = 1.47 \times 10^{-3}

Let me know if you need further clarifications or explanations! Would you like me to help with anything else related to this?

Here are a few related questions to explore further:

  1. How do you convert a negative number in ordinary form to standard form?
  2. What are the rules for adding or subtracting numbers in standard form?
  3. How do you multiply numbers in standard form?
  4. How do you divide numbers in standard form?
  5. What is the significance of using standard form in scientific calculations?

Tip: Always pay attention to the exponent when converting between ordinary form and standard form. A positive exponent indicates a large number, while a negative exponent indicates a small number.

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Math Problem Analysis

Mathematical Concepts

Standard Form
Exponents
Scientific Notation

Formulas

Standard Form Conversion: a × 10^n
Ordinary Number Conversion: a × 10^n -> shift decimal n places

Theorems

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Suitable Grade Level

Grades 6-8