When Suzie solved a math problem with her calculator, she got this answer:

Question

9.82E5
Which expressions are equivalent to the answer she got? Select all that apply.

Answer 1

The notation "9.82E5" refers to scientific notation, which is a way of expressing numbers that are too large or too small conveniently. The "E" stands for "exponent," indicating a power of 10.

Specifically, "9.82E5" means:

\[ 9.82 \times 10^5 \]

To identify equivalent expressions, you need to look for forms that also represent the same number. Here are some expressions that may be considered equivalent:

1. \( 982000 \) (This is the standard number form of 9.82 multiplied by 100,000.)
2. \( 9.82 \times 100000 \)
3. \( 9.82 \times 10^5 \)
4. \( 982 \times 10^3 \) (since \( 982 \times 10^3 \) is equal to \( 9.82 \times 10^5 \))

Any of the expressions that fall within the mathematical manipulation of \( 9.82E5 \) would be considered equivalent.

Please provide me with the options you have if you need help identifying which specific expressions are equivalent among a given list.

Answer 2

91,318.2
982,000
49.1
9.82^5
9.82 x 10^5
9,820,000

Answer 3

From the provided options, let's determine which expressions are equivalent to \(9.82E5\) (or \(9.82 \times 10^5\)):

1. 91,318.2 - This is not equivalent to \(9.82E5\).
2. 982,000 - This is equivalent to \(9.82E5\) because \(9.82 \times 10^5 = 982,000\).
3. 49.1 - This is not equivalent to \(9.82E5\).
4. 9.82^5 - This is not equivalent to \(9.82E5\). It represents a different mathematical operation (raising to the fifth power).
5. 9.82 x 10^5 - This is equivalent to \(9.82E5\).
6. 9,820,000 - This is not equivalent to \(9.82E5\) because \(9.82 \times 10^6 = 9,820,000\).

Final Equivalent Expressions:

• 982,000
• 9.82 x 10^5

These two options are equivalent to \(9.82E5\).