Compare 6•10^8 with 3•10^6. a. 6•10^8 is 2,000 times larger than 3•10^6. b. 6•10^8 is 200 times larger than 3•10^6. c.6•10^8 is 20 times larger than 3•10^6. d.6•10^8 is 2 times larger than 3•10^6. what is the answer?

6 × 10⁸

3 × 10⁶

Use the PEMDAS rule to solve these equations.

Parentheses

Exponents

(Multiplication

Division)

(Addition

Subtraction)

Multiplication/division and addition/subtraction are in no particular order; solve from left to right.

6 × 10⁸

Exponents first. Find 10 to the 8th power. Move the decimal (imaginary decimal in front of the 0 in 10) 8 places to the right.

6 × 1,000,000,000

Now multiply 6 by 10⁸.

6,000,000,000 is the answer to 6 × 10⁸.

Now let's solve 3 × 10⁶

Exponents first; solve 10 to the 6th power. Move the decimal point at the front 6 places to the right.

3 × 10,000,000

Multiply.

30,000,000 is the answer to 3 × 10⁶.

Compare both answers: 6,000,000,000 and 30,000,000

Looking at them, you can see that 6 billion has 9 zeros and 30 million has 7 zeros.

Each zero counts for 100; 9 - 7 = 2 (or you can use a calculator to solve 6,000,000,000 ÷ 30,000,000)

You can conclude that 6 × 10⁸ is B) 200 times larger than 3 × 10⁶.

answerthe vertex form

step-by-step explanation: