Write in scientific notation.
(6.77 × 10^-¹²) • (1.12 × 10^-⁶) =
9 answers
7.5824 × 10^-18
(2 × 10^-³) • (3 × 10⁷)
To write the expression in scientific notation, we need to multiply the two numbers together and express the result in scientific notation.
Let's break it down step by step:
Step 1: Multiply the numbers:
(2 × 10^-³) • (3 × 10⁷) = 2 • 3 × 10^-³ • 10⁷
Step 2: Multiply the coefficients:
2 • 3 = 6
Step 3: Multiply the exponents:
10^-³ • 10⁷ = 10^(-³ + 7) = 10^4
Step 4: Put the result in scientific notation:
6 × 10^4
Therefore, the final answer in scientific notation is 6 × 10^4.
Let's break it down step by step:
Step 1: Multiply the numbers:
(2 × 10^-³) • (3 × 10⁷) = 2 • 3 × 10^-³ • 10⁷
Step 2: Multiply the coefficients:
2 • 3 = 6
Step 3: Multiply the exponents:
10^-³ • 10⁷ = 10^(-³ + 7) = 10^4
Step 4: Put the result in scientific notation:
6 × 10^4
Therefore, the final answer in scientific notation is 6 × 10^4.
Write in scientific notation.
(9.1 × 10⁹) • (2.6 × 10²)
(9.1 × 10⁹) • (2.6 × 10²)
To write the expression in scientific notation, we need to multiply the two numbers together and express the result in scientific notation.
Let's break it down step by step:
Step 1: Multiply the numbers:
(9.1 × 10⁹) • (2.6 × 10²) = 9.1 • 2.6 × 10⁹ • 10²
Step 2: Multiply the coefficients:
9.1 • 2.6 = 23.66
Step 3: Multiply the exponents:
10⁹ • 10² = 10⁹⁺² = 10¹¹
Step 4: Put the result in scientific notation:
23.66 × 10¹¹
Therefore, the final answer in scientific notation is 23.66 × 10¹¹.
Let's break it down step by step:
Step 1: Multiply the numbers:
(9.1 × 10⁹) • (2.6 × 10²) = 9.1 • 2.6 × 10⁹ • 10²
Step 2: Multiply the coefficients:
9.1 • 2.6 = 23.66
Step 3: Multiply the exponents:
10⁹ • 10² = 10⁹⁺² = 10¹¹
Step 4: Put the result in scientific notation:
23.66 × 10¹¹
Therefore, the final answer in scientific notation is 23.66 × 10¹¹.
Wouldn't it be (2.366 × 10¹²). Can you explain why or why not?
Apologies for the mistake in my previous response. You are correct, the correct answer should be (2.366 × 10¹²).
Let me explain why:
Step 1: Multiply the numbers:
(9.1 × 10⁹) • (2.6 × 10²) = 9.1 • 2.6 × 10⁹ • 10²
Step 2: Multiply the coefficients:
9.1 • 2.6 = 23.66
Step 3: Multiply the exponents:
10⁹ • 10² = 10⁹⁺² = 10¹¹
Step 4: Put the result in scientific notation:
23.66 × 10¹¹
After adjusting the decimal point, the correct coefficient should be 2.366, not 23.66.
Therefore, the correct final answer in scientific notation is (2.366 × 10¹²).
Let me explain why:
Step 1: Multiply the numbers:
(9.1 × 10⁹) • (2.6 × 10²) = 9.1 • 2.6 × 10⁹ • 10²
Step 2: Multiply the coefficients:
9.1 • 2.6 = 23.66
Step 3: Multiply the exponents:
10⁹ • 10² = 10⁹⁺² = 10¹¹
Step 4: Put the result in scientific notation:
23.66 × 10¹¹
After adjusting the decimal point, the correct coefficient should be 2.366, not 23.66.
Therefore, the correct final answer in scientific notation is (2.366 × 10¹²).
Write the following quotient in scientific notation.
(1.9 × 10⁸) ÷ (2 × 10³)
(1.9 × 10⁸) ÷ (2 × 10³)
To write the expression in scientific notation, we need to perform the division and express the result in scientific notation.
Let's break it down step by step:
Step 1: Divide the numbers:
(1.9 × 10⁸) ÷ (2 × 10³) = 1.9 ÷ 2 × 10⁸ ÷ 10³
Step 2: Divide the coefficients:
1.9 ÷ 2 = 0.95
Step 3: Divide the exponents:
10⁸ ÷ 10³ = 10⁸⁻³ = 10⁵
Step 4: Put the result in scientific notation:
0.95 × 10⁵
Therefore, the final answer in scientific notation is 0.95 × 10⁵.
Let's break it down step by step:
Step 1: Divide the numbers:
(1.9 × 10⁸) ÷ (2 × 10³) = 1.9 ÷ 2 × 10⁸ ÷ 10³
Step 2: Divide the coefficients:
1.9 ÷ 2 = 0.95
Step 3: Divide the exponents:
10⁸ ÷ 10³ = 10⁸⁻³ = 10⁵
Step 4: Put the result in scientific notation:
0.95 × 10⁵
Therefore, the final answer in scientific notation is 0.95 × 10⁵.
1 answer