Math Problem Statement

Tolong jawab

Tolong jawab

Solution

It seems that the image you uploaded contains a math problem. I’ll help you solve it. Here's what I can make out from the image:

The problem asks to find the result of the following expression:

6×109+4×109:8×1096 \times 10^9 + 4 \times 10^9 : 8 \times 10^9

The possible answers are:

a) 6×10106 \times 10^{10} b) 6.5×10106.5 \times 10^{10} c) 6.5×1096.5 \times 10^{9} d) 18×10918 \times 10^9

Let’s break down the expression:

  1. 6×109+4×1096 \times 10^9 + 4 \times 10^9 is the addition of two terms with the same power of 10: (6+4)×109=10×109=1×1010(6 + 4) \times 10^9 = 10 \times 10^9 = 1 \times 10^{10}

  2. Now divide by 8×1098 \times 10^9: 1×10108×109=18×10109=18×101=1.25×101=12.5\frac{1 \times 10^{10}}{8 \times 10^9} = \frac{1}{8} \times 10^{10 - 9} = \frac{1}{8} \times 10^1 = 1.25 \times 10^1 = 12.5

So, the correct answer is not explicitly listed, but based on the closest option, none of the answers exactly match this result. However, there might be a mistake or simplification in the options. Could you confirm if there's any further context or clarification you might need?

Would you like a more detailed explanation or further help with other problems?

Follow-up Questions:

  1. How do you handle adding and dividing terms with exponents?
  2. What happens when you add terms with different exponents?
  3. Can you simplify expressions like 109+10810^{9} + 10^{8}?
  4. What other methods can you use to approach exponential division problems?
  5. Can you rewrite the expression in scientific notation?

Tip:

When working with exponents, always make sure that the powers of 10 are the same before adding or subtracting, and adjust them for division to maintain consistency.

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Math Problem Analysis

Mathematical Concepts

Scientific Notation
Exponential Arithmetic
Addition and Division of Powers of 10

Formulas

a * 10^n + b * 10^n
a * 10^n / b * 10^n

Theorems

Laws of Exponents

Suitable Grade Level

Grades 9-11