Mastering Scientific Notation

Convert 3.5 x 10^4 to standard form.

• 30000

• 35000

• 40000

• 3500

Answer explanation

To convert 3.5 x 10^4 to standard form, multiply 3.5 by 10,000 (which is 10^4). This gives 35,000. Therefore, the correct answer is 35,000.

What is 0.0045 in scientific notation?

• 4.5 x 10^-3

• 45 x 10^-4

• 0.45 x 10^-2

• 4.5 x 10^3

Answer explanation

To convert 0.0045 to scientific notation, move the decimal point three places to the right, giving 4.5. This results in 4.5 x 10^-3, as the exponent is negative due to the movement to the right.

Convert 7.2 x 10^-3 to standard form.

• 7.2

• 0.00072

• 0.0072

• 0.072

Answer explanation

To convert 7.2 x 10^-3 to standard form, move the decimal point 3 places to the left, resulting in 0.0072. Thus, the correct answer is 0.0072.

Express 1.2 x 10^6 in standard form.

• 1200000

• 1.2 x 10^5

• 120000

• 12000000

Answer explanation

To express 1.2 x 10^6 in standard form, multiply 1.2 by 1,000,000. This results in 1,200,000, which is the correct standard form. The other options do not represent this value.

What is the scientific notation for 0.00056?

• 5.6 x 10^4

• 56 x 10^-5

• 5.6 x 10^-4

• 0.56 x 10^-3

Answer explanation

To convert 0.00056 to scientific notation, move the decimal point 4 places to the right, giving 5.6. This results in 5.6 x 10^-4, as the exponent is negative due to the original number being less than 1.

Convert 5.67 x 10^2 to standard form.

• 5.67 x 10^3

• 56.7

• 5670

• 567

Answer explanation

To convert 5.67 x 10^2 to standard form, multiply 5.67 by 100 (10^2). This gives 567. Therefore, the correct answer is 567.

If a car travels 1.5 x 10^5 meters, how many kilometers is that?

• 200 kilometers

• 100 kilometers

• 75 kilometers

• 150 kilometers

Answer explanation

To convert meters to kilometers, divide by 1,000. Thus, 1.5 x 10^5 meters = 150,000 meters ÷ 1,000 = 150 kilometers. Therefore, the correct answer is 150 kilometers.

What is 9.8 x 10^-2 in standard form?

• 0.0098

• 0.098

• 0.98

• 9.8

Answer explanation

To convert 9.8 x 10^-2 to standard form, move the decimal point two places to the left, resulting in 0.098. Thus, the correct answer is 0.098.

Convert 2.3 x 10^3 to standard form.

• 230

• 2.3 x 10^2

• 2400

• 2300

Answer explanation

To convert 2.3 x 10^3 to standard form, multiply 2.3 by 1000 (10^3). This gives 2300, which is the correct standard form. The other options do not represent this value.

If a virus is 1.0 x 10^-9 meters in size, how many meters is that?

• 0.1 meters

• 1.0 x 10^9 meters

• 0.000000001 meters

• 0.000001 meters

Answer explanation

1.0 x 10^-9 meters is equivalent to 0.000000001 meters. This is because the negative exponent indicates a fraction, specifically 1 divided by 10 to the power of 9, which equals 0.000000001.