How do you evaluate $2 \cdot 5^{3} + 0 \cdot 5^{2} + 1 \cdot 5^{1} + 4 \cdot 5^{0}$ $2\cdot 5^ { 3} + 0\cdot 5^ { 2} + 1\cdot 5^ { 1} + 4\cdot 5^ { 0}$ ?

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How do you evaluate $2 \cdot 5^{3} + 0 \cdot 5^{2} + 1 \cdot 5^{1} + 4 \cdot 5^{0}$ $2\cdot 5^ { 3} + 0\cdot 5^ { 2} + 1\cdot 5^ { 1} + 4\cdot 5^ { 0}$ ?

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Answer 1 · 2017-11-23T06:32:13

Use Order of Operations

Explanation:

Using PEMDAS (or something like BODMAS, depending on where you live), you can break this down.

Parentheses/Brackets: We don't have any of these in the expression.

Exponents/Orders: $5^{3} = 125$ $5^3 = 125$
$5^{2} = 25$ $5^2 = 25$
$5^{1} = 5$ $5^1 = 5$ (Any $v a l u e^{1}$ $value^1$ equals that $v a l u e \cdot 1$ $value * 1$ )
$5^{0} = 1$ $5^0 = 1$ (Any $v a l u e^{0}$ $value^0$ except for 0 equals 1)

$2 \cdot 125 + 0 \cdot 25 + 1 \cdot 5 + 4 \cdot 1$ $2 * 125 + 0 * 25 + 1 * 5 + 4 * 1$

Multiplication/Division: $2 \cdot 125 = 250$ $2 * 125 = 250$
$0 \cdot 25 = 0$ $0 * 25 = 0$ (Any $v a l u e \cdot 0$ $value * 0$ equals $0$ $0$ )
$1 \cdot 5 = 5$ $1*5 = 5$
$4 \cdot 1 = 4$ $4 * 1 = 4$

$250 + 0 + 5 + 4$ $250 + 0 + 5 + 4$

Addition/Subtraction: $250 + 0 = 250$ $250 + 0 = 250$
$250 + 5 = 255$ $250 + 5 = 255$
$255 + 4 = 259$ $255 + 4 = 259$

$2 \cdot 5^{3} + 0 \cdot 5^{2} + 1 \cdot 5^{1} + 4 \cdot 5^{0} = 259$ $2\cdot 5^ { 3} + 0\cdot 5^ { 2} + 1\cdot 5^ { 1} + 4\cdot 5^ { 0} = 259$

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How do you evaluate $2 \cdot 5^{3} + 0 \cdot 5^{2} + 1 \cdot 5^{1} + 4 \cdot 5^{0}$ $2\cdot 5^ { 3} + 0\cdot 5^ { 2} + 1\cdot 5^ { 1} + 4\cdot 5^ { 0}$ ?

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How do you evaluate $2 \cdot 5^{3} + 0 \cdot 5^{2} + 1 \cdot 5^{1} + 4 \cdot 5^{0}$ $2\cdot 5^ { 3} + 0\cdot 5^ { 2} + 1\cdot 5^ { 1} + 4\cdot 5^ { 0}$ ?