Flashcards: Mastering Fractions, Decimals, and Ratios — 20 cards

Fractions in Decimals — conversion method?

Use calculator SD button to simplify fractions from decimals.

Subtracting fractions from whole — process?

Convert to common denominator or decimal, then subtract from 1.

Fraction of a quantity — formula?

(Total ÷ denominator) × numerator.

Percentages calculation — basic step?

(Total ÷ 100) × percentage.

Percentage increase — formula?

(Difference ÷ original) × 100.

Interest and GST — basic calculation?

Apply percentage formulas; multiply or divide as needed.

Ratio simplification — method?

Divide numerator and denominator by their GCD.

Ratio splitting — process?

Divide total by sum of parts, then multiply by each part.

Rate calculation — example?

Rate = Quantity ÷ Time or other units.

Standard form — positive power?

Move decimal right, multiply by 10^n.

Standard form — negative power?

Move decimal left, multiply by 10^(-n).

Converting to standard form — normal to scientific?

Position decimal after first digit, count moves as exponent.

Converting from standard form — normal number?

Move decimal in opposite direction, add zeros if needed.

Simplify ratio 8:12

Divide both by 4, result 2:3.

Split $72 in ratio 2:7 — part 1?

$16.

Find hidden ratio value — method?

Divide known amount by ratio part, multiply for others.

Unit rate — definition?

Cost or quantity per single item.

Using unit rate — to find total?

Multiply unit rate by new quantity.

Standard form — large number example?

$4.8 imes 10^3 = 4800$.

Standard form — small number example?

$1.4 imes 10^{-6} = 0.0000014$.