Evaluate the mathematical expressions below and arrange them in order from least to greate… — ACT

Evaluate the mathematical expressions below and arrange them in order from least to greatest value.

The correct order from least to greatest is

\sqrt{25}

2^3

, and

1.2 \times 10^1

Evaluating each expression gives

\sqrt{25} = 5

2^3 = 8

, and

1.2 \times 10^1 = 12

. Comparing these values gives

5 < 8 < 12

, which yields the sequence:

\sqrt{25}

2^3

, and

1.2 \times 10^1

Evaluate the square root expression.

\sqrt{25} = 5

Identify the non-negative number that, when multiplied by itself, equals

25

Evaluate the exponential expression.

2^3 = 8

Multiply the base,

2

, by itself three times (

2 \times 2 \times 2

Evaluate the expression in scientific notation.

1.2 \times 10^1 = 12

Multiply

1.2

10

to shift the decimal point one spot to the right.

Order the resulting values from least to greatest.

5 < 8 < 12

, which corresponds to the expressions:

\sqrt{25}

2^3

, and

1.2 \times 10^1

Compare the numbers

5

8

, and

12

to establish their relative sizes.

Evaluating basic exponents, square roots, and scientific notation, then ordering their values.

Question