Answer :
To solve the expression \(1.2 \times 10^{-8} \times 4.0 \times 10^{-3}\), we need to perform the multiplication of the coefficients and then handle the exponents separately.
### Step 1: Multiply the Coefficients
First, we multiply the numerical coefficients (the numbers in front):
[tex]\[ 1.2 \times 4.0 = 4.8 \][/tex]
### Step 2: Add the Exponents
Next, we add the exponents of the powers of 10:
[tex]\[ -8 + (-3) = -11 \][/tex]
### Step 3: Combine the Results
Combine the coefficient and the exponent to put the answer in proper scientific notation:
[tex]\[ 4.8 \times 10^{-11} \][/tex]
Thus, the boxed values are as follows:
- The coefficient for the green box is \(4.8\).
- The exponent for the yellow box is [tex]\(-11\)[/tex].
### Step 1: Multiply the Coefficients
First, we multiply the numerical coefficients (the numbers in front):
[tex]\[ 1.2 \times 4.0 = 4.8 \][/tex]
### Step 2: Add the Exponents
Next, we add the exponents of the powers of 10:
[tex]\[ -8 + (-3) = -11 \][/tex]
### Step 3: Combine the Results
Combine the coefficient and the exponent to put the answer in proper scientific notation:
[tex]\[ 4.8 \times 10^{-11} \][/tex]
Thus, the boxed values are as follows:
- The coefficient for the green box is \(4.8\).
- The exponent for the yellow box is [tex]\(-11\)[/tex].
