Scientific Notation | MCQs

Explanation

To write 50700 in scientific notation, move the decimal point to the left until you have a number between 1 and 10:

50700 → 5.07 × 10⁴

Explanation

Explanation: 3.14 x 10^6 = 3.14 x 1000000 = 3140000.

Explanation

In the number 8.70 × 10⁻¹²:

All non-zero digits and zeros between or after non-zero digits (if decimal is present) are significant.

So, 8, 7, and the 0 after 7 are all significant.

Therefore, the number has 3 significant figures.

Explanation

To express the number 0.000057 in scientific notation, you need to represent it as a number between 1 and 10 multiplied by a power of 10.

0.000057 can be written as:

5.7×10−55.7×10−5

In scientific notation, this means 5.7 multiplied by 10−510−5.

Explanation

To simplify $1.2 times 10^{48} + 1.2 times 10^{41}$ factor out the common coefficient:

$$1.2 times (10^{48} + 10^{41})$$

Since $10^{48}$ is much larger than $10^{41}$, $10^{48} + 10^{41} approx 10^{48}$

$$
Thus, the expression simplifies to:

$$1.2 times 10^{48}$$

The sum remains close to $1.2 times 10^{48}$not multiplied significantly.

Hence, the correct answer is "None."

Explanation

Exponential notation (scientific notation) is used to express very small (e.g., 0.0000001) or very large (e.g., 1000000000) quantities compactly by representing numbers as powers of 10.

Key Information:

Format: a × 10^n, where 1 ≤ a < 10 and n is an integer.

Used for very large or very small numbers.

Examples:

• Large number: 6.022 × 10^23 (Avogadro's number)
• Small number: 1.6 × 10^-19 (Charge of an electron)

Explanation

Let's evaluate the expression:

67.5 × 10⁻⁹ = 6.75 × 10 × 10⁻⁹

= 6.75 × 10⁻⁸

= 0.0000000675