Divide.

Question

0.0075÷(1.5×10−6)

Answer 1

To divide, we can rewrite the expression as:

0.0075 ÷ (1.5 × 10^(-6))

Since we have a division operation, we can simply divide the numerator by the denominator:

0.0075 ÷ 1.5 = 0.005

Now, let's deal with the exponent of 10. When dividing numbers in scientific notation, we subtract the exponents:

10^(-6) ÷ 10^0 = 10^(-6-0) = 10^(-6)

Therefore, the final result is:

0.005 × 10^(-6)

To write this in standard notation, we can move the decimal point 6 places to the left because the exponent is negative:

0.005 × 10^(-6) = 0.000000005

Answer 2

Divide.

0.0075÷(1.5×10^−6)
Write your answer in scientific notation.

Answer 3

To divide, we can rewrite the expression as:

0.0075 ÷ (1.5 × 10^(-6))

Recall that dividing by a number is the same as multiplying by its reciprocal. Therefore, we can rewrite the expression as:

0.0075 × (1 / (1.5 × 10^(-6)))

Simplifying this, we have:

0.0075 × (1 / (1.5 × 0.000001))

Now, let's simplify the denominator:

0.0075 × (1 / 0.0000015)

Dividing 1 by 0.0000015 gives us:

666,666.666666667

So, the expression simplifies to:

0.0075 × 666,666.666666667

Multiplying these numbers gives us:

5000

Therefore, the answer is:

5 × 10^3

Answer 4

Multiply.

25,000×(2.5×105)
Write your answer in scientific notation.

Answer 5

To multiply, we can simply multiply the numbers together:

25,000 × (2.5 × 10^5)

First, let's multiply the non-scientific parts:

25,000 × 2.5 = 62,500

Now, let's multiply the powers of 10:

10^5 × 10^3 = 10^(5+3) = 10^8

Therefore, the final result is:

62,500 × 10^8

In scientific notation, we write the number as:

6.25 × 10^10