Math Problem Statement

Multiply: 9×10⁴, 14×10³, 23×10², 15×10⁵, 7×10², 16×10¹, 33×10³, and 11×10⁴.

Solution

Let’s solve these problems step by step:

  1. 9 × 10⁴
    9104=910,000=90,0009 \cdot 10^4 = 9 \cdot 10,000 = 90,000

  2. 14 × 10³
    14103=141,000=14,00014 \cdot 10^3 = 14 \cdot 1,000 = 14,000

  3. 23 × 10²
    23102=23100=2,30023 \cdot 10^2 = 23 \cdot 100 = 2,300

  4. 15 × 10⁵
    15105=15100,000=1,500,00015 \cdot 10^5 = 15 \cdot 100,000 = 1,500,000

  5. 7 × 10²
    7102=7100=7007 \cdot 10^2 = 7 \cdot 100 = 700

  6. 16 × 10¹
    16101=1610=16016 \cdot 10^1 = 16 \cdot 10 = 160

  7. 33 × 10³
    33103=331,000=33,00033 \cdot 10^3 = 33 \cdot 1,000 = 33,000

  8. 11 × 10⁴
    11104=1110,000=110,00011 \cdot 10^4 = 11 \cdot 10,000 = 110,000

Would you like me to explain further or solve similar examples?


Here are five related questions to expand your learning:

  1. How can you convert a number like 123,000 into scientific notation?
  2. What happens if you multiply numbers with the same base in scientific notation (e.g., 21032 \cdot 10^3 and 31043 \cdot 10^4)?
  3. How can you quickly move between standard form and scientific notation?
  4. What is the importance of significant figures in scientific notation?
  5. How would you calculate 3.2102×2.51033.2 \cdot 10^2 \times 2.5 \cdot 10^3?

Tip: When working with scientific notation, understanding the powers of 10 allows for faster computations!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Scientific Notation
Powers of 10
Basic Multiplication

Formulas

a × 10^n = a multiplied by 10 raised to the power of n

Theorems

Properties of Exponents

Suitable Grade Level

Grades 6-8