Basic Math Examples

$(1.4 \cdot 10^{8} - 1.1 \cdot 10^{7}) \cdot (4 \cdot 10^{16})$

Step 1

Move the decimal point in $- 1.1$ to the left by $1$ place and increase the power of $10^{7}$ by $1$ .

$(1.4 \cdot 10^{8} - 0.11 \cdot 10^{8}) \cdot 4 \cdot 10^{16}$

Step 2

Factor $10^{8}$ out of $1.4 \cdot 10^{8} - 0.11 \cdot 10^{8}$ .

$(1.4 - 0.11) \cdot 10^{8} \cdot 4 \cdot 10^{16}$

Step 3

Simplify the expression.

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Step 3.1

Subtract $0.11$ from $1.4$ .

$1.29 \cdot 10^{8} \cdot 4 \cdot 10^{16}$

Step 3.2

Multiply $1.29$ by $4$ .

$5.16 (10^{8} \cdot 10^{16})$

Step 4

Multiply $10^{8}$ by $10^{16}$ 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.

$5.16 \cdot 10^{8 + 16}$

Step 4.2

Add $8$ and $16$ .

$5.16 \cdot 10^{24}$