Math Problem Statement

Evaluate. Express your answer in scientific notation. 1.56 × 10^7 + 7.59 × 10^7

Solution

To solve the given problem, we need to evaluate 1.56×107+7.59×1071.56 \times 10^7 + 7.59 \times 10^7 and express the answer in scientific notation.

Steps:

  1. Since the exponents of 10710^7 are the same, we can directly add the coefficients: 1.56+7.59=9.151.56 + 7.59 = 9.15

  2. Combine the result with the common power of 10: 9.15×1079.15 \times 10^7

Final Answer:

9.15×107\boxed{9.15 \times 10^7}

Would you like a breakdown of this process or have any further questions?

Here are 5 related questions you might explore next:

  1. How would you add numbers in scientific notation if their exponents differ?
  2. What are the key properties of scientific notation that make calculations easier?
  3. How do you subtract values written in scientific notation?
  4. Can you explain the significance of normalizing the coefficient in scientific notation?
  5. What happens if the result exceeds 10 and needs further adjustment in scientific notation?

Tip: Always verify that the powers of ten are equal when adding or subtracting numbers in scientific notation. If they are not, adjust one of the terms accordingly!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Scientific Notation
Addition of Numbers with Same Powers of 10

Formulas

a × 10^n + b × 10^n = (a + b) × 10^n

Theorems

-

Suitable Grade Level

Grades 6-8