Math Problem Statement

Add 1.5 × 10^7 to 2.7 × 10^9.

Solution

To solve the problem of adding 1.5×1071.5 \times 10^7 to 2.7×1092.7 \times 10^9, let's proceed step by step:


Step 1: Express the numbers in full form

  • 1.5×107=15,000,0001.5 \times 10^7 = 15,000,000
  • 2.7×109=2,700,000,0002.7 \times 10^9 = 2,700,000,000

Step 2: Perform the addition

2,700,000,000+15,000,000=2,715,000,0002,700,000,000 + 15,000,000 = 2,715,000,000


Step 3: Rewrite in scientific notation

To express 2,715,000,0002,715,000,000 in scientific notation: 2,715,000,000=2.715×1092,715,000,000 = 2.715 \times 10^9


Final Answer:

The correct option is: 2.715×1092.715 \times 10^9.


Do you need further explanation or breakdown of any step?

Here are some related questions for practice:

  1. How would you add 3.4×1063.4 \times 10^6 and 2.6×1082.6 \times 10^8?
  2. Express 4.25×105+1.75×1064.25 \times 10^5 + 1.75 \times 10^6 in scientific notation.
  3. Subtract 1.2×1071.2 \times 10^7 from 3.6×1093.6 \times 10^9.
  4. What is 2.3×104+4.7×1052.3 \times 10^4 + 4.7 \times 10^5?
  5. Convert 7,650,000,0007,650,000,000 into scientific notation.

Tip: When adding or subtracting numbers in scientific notation, ensure they have the same exponent before combining the values.

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Math Problem Analysis

Mathematical Concepts

Scientific Notation
Addition of Numbers in Scientific Notation

Formulas

Scientific Notation: a × 10^n
Basic Addition of Numbers

Theorems

Scientific Notation Exponent Adjustment

Suitable Grade Level

Grades 8-10