Multiply in Scientific Notation Quick Check
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Question
Multiply 0.75 by 2.8×10−5
.(1 point)
Responses
2.1×10−5
2 point 1 times 10 to the negative 5 power
2.1×10−6
2 point 1 times 10 to the negative 6 power
2.1×10−7
2 point 1 times 10 to the negative 7 power
2.1×10−4
2 point 1 times 10 to the negative 4 power
To multiply in scientific notation, multiply the decimal numbers and add the exponents.
0.75 * 2.8 = 2.1
The exponent of 10 is the sum of -5 and 0 (since there are no powers of 10 in 0.75).
Therefore, the answer is 2.1 × 10^0.
Since any number (except 0) raised to the power of 0 is 1, the final answer is simply 2.1 without any power of 10.
So, the correct response is: 2.1
To multiply 0.75 by 2.8×10^−5 in scientific notation, you can follow these steps:
Step 1: Multiply the decimal parts: 0.75 multiplied by 2.8 equals 2.1.
Step 2: Add the exponents: In scientific notation, when multiplying, you add the exponents. The exponent for 2.8×10^−5 is -5.
Therefore, the final answer is 2.1×10^−5, which corresponds to the first response option.
To multiply two numbers in scientific notation, you first multiply the numerical parts together, and then multiply the powers of 10 together.
In this case, you want to multiply 0.75 by 2.8×10^(-5).
Step 1: Multiply the numerical parts:
0.75 * 2.8 = 2.1
Step 2: Multiply the powers of 10:
(-5)
Now we have 2.1×10^(-5).
Therefore, the correct answer is "2.1×10^(-5)", which is the first option.