Solve Multi-Step Rational Number Problems - 7th Grade Math
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What is the decimal form of the fraction $\frac{3}{4}$?
What is the decimal form of the fraction $\frac{3}{4}$?
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$0.75$. Divide numerator by denominator: $3 ÷ 4 = 0.75$.
$0.75$. Divide numerator by denominator: $3 ÷ 4 = 0.75$.
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What is $\frac{7}{10}+\left(-\frac{9}{20}\right)$ in simplest form?
What is $\frac{7}{10}+\left(-\frac{9}{20}\right)$ in simplest form?
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$\frac{1}{4}$. Common denominator $20$: $\frac{14}{20}-\frac{9}{20}=\frac{5}{20}=\frac{1}{4}$.
$\frac{1}{4}$. Common denominator $20$: $\frac{14}{20}-\frac{9}{20}=\frac{5}{20}=\frac{1}{4}$.
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What is $3\left(\frac{2}{3}-\frac{1}{6}\right)$ in simplest form?
What is $3\left(\frac{2}{3}-\frac{1}{6}\right)$ in simplest form?
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$\frac{3}{2}$. Simplify inside first: $\frac{4}{6}-\frac{1}{6}=\frac{3}{6}=\frac{1}{2}$, then multiply.
$\frac{3}{2}$. Simplify inside first: $\frac{4}{6}-\frac{1}{6}=\frac{3}{6}=\frac{1}{2}$, then multiply.
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What is $-3.5-(-1.2)$?
What is $-3.5-(-1.2)$?
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$-2.3$. Subtracting a negative is addition: $-3.5+1.2=-2.3$.
$-2.3$. Subtracting a negative is addition: $-3.5+1.2=-2.3$.
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What is $\frac{2}{5}\times(-15)$?
What is $\frac{2}{5}\times(-15)$?
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$-6$. Multiply: $\frac{2}{5}\times(-15)=\frac{-30}{5}=-6$.
$-6$. Multiply: $\frac{2}{5}\times(-15)=\frac{-30}{5}=-6$.
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What is $(-0.4)\div 0.2$?
What is $(-0.4)\div 0.2$?
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$-2$. Negative divided by positive gives negative: $-0.4÷0.2=-2$.
$-2$. Negative divided by positive gives negative: $-0.4÷0.2=-2$.
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What is $\left(-\frac{3}{4}\right)\div\left(\frac{3}{8}\right)$?
What is $\left(-\frac{3}{4}\right)\div\left(\frac{3}{8}\right)$?
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$-2$. Multiply by reciprocal: $-\frac{3}{4}\times\frac{8}{3}=-2$.
$-2$. Multiply by reciprocal: $-\frac{3}{4}\times\frac{8}{3}=-2$.
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What is $-2(3.5)+4$?
What is $-2(3.5)+4$?
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$-3$. Multiply first: $-2(3.5)=-7$, then add $4$.
$-3$. Multiply first: $-2(3.5)=-7$, then add $4$.
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What is $\frac{1}{2}-\left(-\frac{1}{8}\right)$ in simplest form?
What is $\frac{1}{2}-\left(-\frac{1}{8}\right)$ in simplest form?
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$\frac{5}{8}$. Subtracting negative is addition: $\frac{1}{2}+\frac{1}{8}=\frac{5}{8}$.
$\frac{5}{8}$. Subtracting negative is addition: $\frac{1}{2}+\frac{1}{8}=\frac{5}{8}$.
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What is $-\frac{2}{3}+\frac{5}{6}$ in simplest form?
What is $-\frac{2}{3}+\frac{5}{6}$ in simplest form?
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$\frac{1}{6}$. Find common denominator $6$: $-\frac{4}{6}+\frac{5}{6}=\frac{1}{6}$.
$\frac{1}{6}$. Find common denominator $6$: $-\frac{4}{6}+\frac{5}{6}=\frac{1}{6}$.
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What is the fraction form of the decimal $0.6$ in simplest form?
What is the fraction form of the decimal $0.6$ in simplest form?
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$\frac{3}{5}$. Write as $\frac{6}{10}$ and simplify by dividing by $2$.
$\frac{3}{5}$. Write as $\frac{6}{10}$ and simplify by dividing by $2$.
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What is the new hourly wage after a $10%$ raise on $\$25$ per hour?
What is the new hourly wage after a $10%$ raise on $\$25$ per hour?
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$\$27.50$. $10%$ of $$25$ is $\$2.50$, so new wage is $$25+$2.50$.
$\$27.50$. $10%$ of $$25$ is $\$2.50$, so new wage is $$25+$2.50$.
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What is the total change after $-2.5$ then $+1.75$?
What is the total change after $-2.5$ then $+1.75$?
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$-0.75$. Add the changes: $-2.5+1.75=-0.75$.
$-0.75$. Add the changes: $-2.5+1.75=-0.75$.
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What is the total cost of $3$ items at $\$-2.50$ each (a credit per item)?
What is the total cost of $3$ items at $\$-2.50$ each (a credit per item)?
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$\$-7.50$. Multiply quantity by price: $3\times(-$2.50)=-$7.50$.
$\$-7.50$. Multiply quantity by price: $3\times(-$2.50)=-$7.50$.
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What is $-18+\left(\frac{3}{4}\times 8\right)$?
What is $-18+\left(\frac{3}{4}\times 8\right)$?
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$-12$. Calculate $\frac{3}{4}\times^8=6$, then $-18+6=-12$.
$-12$. Calculate $\frac{3}{4}\times^8=6$, then $-18+6=-12$.
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What is the exact distance from each door edge if centered: door $27\frac{1}{2}$ in, bar $9\frac{3}{4}$ in?
What is the exact distance from each door edge if centered: door $27\frac{1}{2}$ in, bar $9\frac{3}{4}$ in?
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$8\frac{7}{8}\text{ in}$. $(27\frac{1}{2}-9\frac{3}{4})÷2=17\frac{3}{4}÷2=8\frac{7}{8}$ inches.
$8\frac{7}{8}\text{ in}$. $(27\frac{1}{2}-9\frac{3}{4})÷2=17\frac{3}{4}÷2=8\frac{7}{8}$ inches.
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What is the discount amount for $20%$ off a $\$35$ item?
What is the discount amount for $20%$ off a $\$35$ item?
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$\$7$. Calculate $20%$ of $$35$: $0.20\times35=7$.
$\$7$. Calculate $20%$ of $$35$: $0.20\times35=7$.
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What is $\left(2.4-3\right)\div(-0.3)$?
What is $\left(2.4-3\right)\div(-0.3)$?
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$2$. Simplify: $(2.4-3)=-0.6$, then $-0.6÷(-0.3)=2$.
$2$. Simplify: $(2.4-3)=-0.6$, then $-0.6÷(-0.3)=2$.
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What is a quick estimate for each edge distance: door $27\frac{1}{2}$ in, bar $9\frac{3}{4}$ in?
What is a quick estimate for each edge distance: door $27\frac{1}{2}$ in, bar $9\frac{3}{4}$ in?
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$\text{About }9\text{ in}$. Round: door $≈28$ in, bar $≈10$ in, so $(28-10)÷2≈9$ in.
$\text{About }9\text{ in}$. Round: door $≈28$ in, bar $≈10$ in, so $(28-10)÷2≈9$ in.
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What is the final price after $20%$ off a $\$35$ item?
What is the final price after $20%$ off a $\$35$ item?
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$\$28$. Subtract discount from original: $$35-$7=$28$.
$\$28$. Subtract discount from original: $$35-$7=$28$.
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A price is $80$ dollars after a $20 ext{%}$ discount. What was the original price?
A price is $80$ dollars after a $20 ext{%}$ discount. What was the original price?
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$100$ dollars. If $80 is 80% of original, divide: $80 ÷ 0.8 = 100$.
$100$ dollars. If $80 is 80% of original, divide: $80 ÷ 0.8 = 100$.
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Evaluate $3(-2)+4$.
Evaluate $3(-2)+4$.
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$-2$. Multiply first: $-6 + 4 = -2$.
$-2$. Multiply first: $-6 + 4 = -2$.
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What is $1 rac{1}{2}- rac{2}{3}$ in simplest form?
What is $1 rac{1}{2}- rac{2}{3}$ in simplest form?
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$ rac{5}{6}$. Convert to improper: $ rac{3}{2} - rac{2}{3} = rac{9}{6} - rac{4}{6} = rac{5}{6}$.
$ rac{5}{6}$. Convert to improper: $ rac{3}{2} - rac{2}{3} = rac{9}{6} - rac{4}{6} = rac{5}{6}$.
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What is $ rac{2}{3}+ rac{1}{6}$ in simplest form?
What is $ rac{2}{3}+ rac{1}{6}$ in simplest form?
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$ rac{5}{6}$. Find common denominator 6: $ rac{4}{6} + rac{1}{6} = rac{5}{6}$.
$ rac{5}{6}$. Find common denominator 6: $ rac{4}{6} + rac{1}{6} = rac{5}{6}$.
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What is $ rac{3}{4}$ written as a decimal?
What is $ rac{3}{4}$ written as a decimal?
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$0.75$. Divide numerator by denominator: $3 ÷ 4 = 0.75$.
$0.75$. Divide numerator by denominator: $3 ÷ 4 = 0.75$.
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