Write the following quotient in scientific notation.
(1.9 × 10⁸) ÷ (2 × 10³)
□ × 10⁴
Wouldn't the correct answer be 9.5 × 10⁴. Can you explain why or why not?
Apologies for the confusion in my previous response. You are correct, the correct answer is indeed 9.5 × 10⁴.
To clarify the calculation:
Given:
(1.9 × 10⁸) ÷ (2 × 10³)
Dividing the coefficients, 1.9 ÷ 2, gives us 0.95.
Subtracting the exponents, 8 - 3, gives us 5.
Combining the results, we have 0.95 × 10⁵.
However, in scientific notation, the coefficient should be between 1 and 10. So we can rewrite 0.95 as 9.5 × 10⁻¹.
Therefore, the correct quotient in scientific notation is 9.5 × 10⁻¹ × 10⁵, which simplifies to 9.5 × 10⁴.
What is the quotient of the following expression?
(5.6 × 10²) ÷ (1.4 × 10^-⁶)
To divide numbers written in scientific notation, you divide the coefficients and subtract the exponents.
Given:
(5.6 × 10²) ÷ (1.4 × 10^-⁶)
Dividing the coefficients, 5.6 ÷ 1.4, gives us 4.
Subtracting the exponents, 2 - (-6), is the same as 2 + 6, which gives us 8.
Combining the results, the quotient is 4 × 10⁸.
Therefore, the quotient of the given expression is 4 × 10⁸.
To divide two numbers written in scientific notation, you divide their coefficients and subtract the exponents of the powers of 10.
(1.9 × 10⁸) ÷ (2 × 10³)
= (1.9 ÷ 2) × (10⁸ ÷ 10³)
= 0.95 × 10⁵
Therefore, the quotient is 0.95 × 10⁵ in scientific notation.
To write the quotient in scientific notation, we need to divide the given numbers and express the result in the form of a × 10ⁿ, where "a" is the coefficient (a number between 1 and 10), and "n" is the exponent.
Given:
(1.9 × 10⁸) ÷ (2 × 10³)
Step 1: Divide the coefficients:
1.9 ÷ 2 = 0.95
Step 2: Divide the exponents:
10⁸ ÷ 10³ = 10⁵
Step 3: Combine the results:
The quotient is 0.95, and the exponent is 10⁵.
Therefore, the quotient in scientific notation is:
0.95 × 10⁵.
To divide numbers in scientific notation, you divide the coefficients and subtract the exponents.
Given
(1.9 × 10⁸) ÷ (2 × 10³)
Dividing the coefficients, 1.9 ÷ 2, gives us 0.95.
Subtracting the exponents, 8 - 3, gives us 5.
Combining the results, the quotient is 0.95 × 10⁵.
Therefore, the given quotient in scientific notation is 0.95 × 10⁵.