Basic Math Examples

$(2.54 \cdot 10^{7} + 5.34 \cdot 10^{8}) \cdot 1.34 \cdot 10^{- 5}$

Step 1

Move the decimal point in $2.54$ to the left by $1$ place and increase the power of $10^{7}$ by $1$ .

$(0.254 \cdot 10^{8} + 5.34 \cdot 10^{8}) \cdot 1.34 \cdot 10^{- 5}$

Step 2

Factor $10^{8}$ out of $0.254 \cdot 10^{8} + 5.34 \cdot 10^{8}$ .

$(0.254 + 5.34) \cdot 10^{8} \cdot 1.34 \cdot 10^{- 5}$

Step 3

Simplify the expression.

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Step 3.1

Add $0.254$ and $5.34$ .

$5.594 \cdot 10^{8} \cdot 1.34 \cdot 10^{- 5}$

Step 3.2

Multiply $5.594$ by $1.34$ .

$7.49596 (10^{8} \cdot 10^{- 5})$

Step 4

Multiply $10^{8}$ by $10^{- 5}$ by adding the exponents.

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Step 4.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$7.49596 \cdot 10^{8 - 5}$

Step 4.2

Subtract $5$ from $8$ .

$7.49596 \cdot 10^{3}$

Step 5

The result can be shown in multiple forms.

Scientific Notation:

$7.49596 \cdot 10^{3}$

Expanded Form:

$7495.96$