Subtract 4.66×10−5−7.34×10−7
To subtract these two numbers, we need to first convert them to the same powers of 10.
4.66 × 10^(-5) - 7.34 × 10^(-7)
The second number, 7.34 × 10^(-7), is already in the same form. To convert the first number, we can multiply it by 10 to make the exponent -4 (-5 + 1):
4.66 × 10^(-5) = 4.66 × 10^(-4) × 10 = 0.466 × 10^(-4)
Now, we can subtract the two numbers:
0.466 × 10^(-4) - 7.34 × 10^(-7)
To subtract these numbers, the powers of 10 must be the same. We need to convert 0.466 × 10^(-4) to the same power of 10 as 7.34 × 10^(-7), which is -7 (-4 - 3):
0.466 × 10^(-4) = 0.466 × 10^(-4) × 10^3 × 10^(-3) = 0.466 × 10^(-4+3-3) = 0.466 × 10^(-4)
Now that both numbers are in the same form, we can subtract:
0.466 × 10^(-4) - 7.34 × 10^(-7) = (0.466 - 7.34) × 10^(-4) = -6.874 × 10^(-4)
Therefore, the result of subtracting 4.66 × 10^(-5) - 7.34 × 10^(-7) is -6.874 × 10^(-4).
Subtract 4.66×10−5−7.34×10−7(1 point)
Responses
2.68×102
2.68 times 10 squared
−4.5866×10−5
negative 4.5866 times 10 superscript negative 5 baseline
4.5866×10−5
4.5866 times 10 superscript negative 5 baseline
−2.68×102
The correct answer is 4.5866×10^(-5).
To subtract these two numbers in scientific notation, you need to make sure that their exponents are equal. Let's start by aligning the exponents.
4.66 × 10^(-5) - 7.34 × 10^(-7)
To align the exponents, we need to move the decimal point of the first number 2 places to the right:
0.0000466 - 7.34 × 10^(-7)
Now that the exponents are aligned, we can subtract the numbers:
0.0000466 - 0.000000734 = 0.0000459
To subtract these numbers in scientific notation, we need to make sure the exponents of the powers of 10 are the same.
First, let's rewrite the numbers in a similar format:
4.66×10^(-5) - 7.34×10^(-7)
To make the exponents the same, we can convert the second number to match the exponent of the first number.
7.34×10^(-7) can be rewritten as 0.734×10^(-6).
Now that the exponents are the same, we can subtract the numbers:
4.66×10^(-5) - 0.734×10^(-6) = 4.66×10^(-5) - 0.734×10^(-6)
Subtracting the numbers yields:
4.66×10^(-5) - 0.734×10^(-6) = 4.585×10^(-5)
Therefore, the result of subtracting 4.66×10^(-5) - 7.34×10^(-7) is 4.585×10^(-5).