Math Problem Statement

Please solve

Please solve the problems in the image related to standard form and converting standard form to ordinary numbers.

Solution

Let's break down and solve the problems in the image you uploaded:

1. Put numbers into standard form:

The standard form for a number is written as: a×10na \times 10^n where aa is a number between 1 and 10, and nn is an integer.

  • 6000 = 6×1036 \times 10^3

  • 10000 = 1×1041 \times 10^4

  • 5000000 = 5×1065 \times 10^6

  • 240 = 2.4×1022.4 \times 10^2

  • 260000 = 2.6×1052.6 \times 10^5

  • 65700 = 6.57×1046.57 \times 10^4

2. Change these standard form numbers into ordinary numbers:

  • 7×103=70007 \times 10^3 = 7000

  • 4×107=40,000,0004 \times 10^7 = 40,000,000

  • 1.3×103=13001.3 \times 10^3 = 1300

  • 6.5×107=65,000,0006.5 \times 10^7 = 65,000,000

  • 9.88×105=988,0009.88 \times 10^5 = 988,000

  • 8.92×107=89,200,0008.92 \times 10^7 = 89,200,000


Let me know if you would like any further clarification or additional details!

Related Questions:

  1. How do you convert a large number into standard form?
  2. What are the key differences between standard form and scientific notation?
  3. How do you multiply numbers in standard form?
  4. What are some real-world applications of using standard form?
  5. Can you convert small decimals (less than 1) into standard form?

Tip: When converting a number to standard form, always ensure that the first number is between 1 and 10 before multiplying by a power of 10.

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Math Problem Analysis

Mathematical Concepts

Standard Form
Powers of 10
Scientific Notation

Formulas

Standard Form: a × 10^n
Powers of 10 notation

Theorems

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Suitable Grade Level

Grades 6-8