QuestionEvaluate these expressions without a calculator and express answers in scientific notation:
1.
2.
3.
4.
Studdy Solution
STEP 1
Assumptions1. All calculations are done without a calculator. . The answers should be expressed in scientific notation.
STEP 2
Let's start with the first expression. To subtract two numbers in scientific notation, they must have the same exponent. In this case, we need to convert to match the exponent of .
STEP 3
To convert to the form , we need to move the decimal point two places to the left (because we are increasing the exponent by2). This gives us .
STEP 4
Now we can subtract the two numbers.
STEP 5
Perform the subtraction.
STEP 6
Next, let's evaluate the second expression. To add two numbers in scientific notation, they must have the same exponent. In this case, both numbers already have the same exponent, so we can add them directly.
STEP 7
Perform the addition.
STEP 8
For the third expression, we multiply the two numbers. In scientific notation, we multiply the coefficients and add the exponents.
STEP 9
Perform the multiplication.
STEP 10
Finally, let's evaluate the last expression. To divide two numbers in scientific notation, we divide the coefficients and subtract the exponents.
STEP 11
Perform the division.
So, the solutions are33.
34.
35.
36.
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