Write the number 5, point, 2, times, 10, to the power minus 35.2×10 ^-3
\must write standard form.
To write the number 5.2 times 10 to the power of -35.2 × 10^-3 in standard form, follow these steps:
Step 1: Multiply 5.2 by 10.
5.2 × 10 = 52
Step 2: Convert -35.2 × 10^-3 to standard form.
-35.2 × 10^-3 = -0.0352
Step 3: Multiply the two numbers together.
52 × -0.0352 = -1.8304
Therefore, the number -1.8304 is the standard form of 5.2 times 10 to the power of -35.2 × 10^-3.
To write the number 5.2 times 10 to the power of minus 35.2×10^-3 in standard form, you need to move the decimal point to the appropriate position.
First, let's start with 5.2. There is only one digit before the decimal point, so we move the decimal point 1 place to the left. It becomes 5.2.
Next, we have 10 to the power of minus 35.2×10^-3. To simplify this, we can multiply 35.2 by -3 to get -105.6. So, we have 10^-105.6.
When we have a negative exponent, we move the decimal point to the left by the exponent value. In this case, we move the decimal point 105.6 places to the left.
To write the number in standard form, we will have a 1 followed by 105 zeros, followed by the digits 5 and 2. So, the number 5.2 times 10 to the power of minus 35.2×10^-3 in standard form is:
1.0 × 10^(-105) × 10^(-0.6) = 1.0 × 10^(-105.6)
1.0 followed by a decimal point and 105 zeros, followed by 5 and 2.
5.2 × 10^(-35.2 × 10^(-3)) | ^ denotes exponent
Write the number 5, point, 2, times, 10, to the power minus 35.2×10
−3
must write standard form.