Math Problem Statement

0.17655.410 в 6 степени *1.475/0.006

Solution

Let's break down the expression:

0.1765×5.4×106×1.475÷0.0060.1765 \times 5.4 \times 10^6 \times 1.475 \div 0.006

First, we will calculate each part step-by-step.

  1. Multiply 0.1765×5.4=0.95210.1765 \times 5.4 = 0.9521.
  2. Now multiply by 10610^6:
    0.9521×106=9521000.9521 \times 10^6 = 952100
  3. Multiply by 1.4751.475:
    952100×1.475=1401187.5952100 \times 1.475 = 1401187.5
  4. Finally, divide by 0.0060.006:
    1401187.5÷0.006=233531458.331401187.5 \div 0.006 = 233531458.33

So, the result of the calculation is approximately:

233531458.33233531458.33

Would you like further explanation or any clarifications?

Here are some related questions to explore:

  1. How does scientific notation simplify large calculations like this?
  2. What is the difference between multiplying by 10610^6 and dividing by 0.0060.006?
  3. Can you explain how to handle large numbers in real-world applications?
  4. How does multiplying decimals impact the overall magnitude of a result?
  5. How would you round this result to a more manageable number?

Tip: When working with large numbers, it’s often helpful to express them in scientific notation for easier manipulation!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Multiplication
Scientific Notation
Division

Formulas

a × b × 10^n × c ÷ d

Theorems

-

Suitable Grade Level

Grades 9-12