Write and Interpret Numerical Expressions - 5th Grade Math
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Which expression shows “$4$ times as large as $a+b$”: $4a+b$ or $4(a+b)$?
Which expression shows “$4$ times as large as $a+b$”: $4a+b$ or $4(a+b)$?
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$4(a+b)$. Parentheses multiply the entire sum, not just $a$.
$4(a+b)$. Parentheses multiply the entire sum, not just $a$.
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What is the numerical expression for “double the difference of $30$ and $11$”?
What is the numerical expression for “double the difference of $30$ and $11$”?
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$2(30-11)$. Double means multiply by $2$; parentheses group the difference.
$2(30-11)$. Double means multiply by $2$; parentheses group the difference.
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What does the expression $3(18932+921)$ mean in words, without calculating?
What does the expression $3(18932+921)$ mean in words, without calculating?
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Three times the sum $18932+921$. Describes multiplication without evaluating the sum.
Three times the sum $18932+921$. Describes multiplication without evaluating the sum.
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What does the expression $5(12-7)$ mean in words, without calculating?
What does the expression $5(12-7)$ mean in words, without calculating?
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Five times the difference $12-7$. Describes multiplication without evaluating the difference.
Five times the difference $12-7$. Describes multiplication without evaluating the difference.
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What does the expression $\frac{48+16}{8}$ mean in words, without calculating?
What does the expression $\frac{48+16}{8}$ mean in words, without calculating?
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The sum $48+16$ divided by $8$. Describes division without evaluating the sum.
The sum $48+16$ divided by $8$. Describes division without evaluating the sum.
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What does the expression $18-\frac{20}{5}$ mean in words, without calculating?
What does the expression $18-\frac{20}{5}$ mean in words, without calculating?
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$18$ minus the quotient $20\div 5$. Describes subtraction without evaluating the quotient.
$18$ minus the quotient $20\div 5$. Describes subtraction without evaluating the quotient.
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Which expression matches “add $9$ and $2$, then multiply by $6$”: $6+9+2$ or $6(9+2)$?
Which expression matches “add $9$ and $2$, then multiply by $6$”: $6+9+2$ or $6(9+2)$?
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$6(9+2)$. Parentheses ensure addition happens before multiplication.
$6(9+2)$. Parentheses ensure addition happens before multiplication.
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Identify the expression for “the sum of $15$ and $5$ divided by $4$”: $15+\frac{5}{4}$ or $\frac{15+5}{4}$?
Identify the expression for “the sum of $15$ and $5$ divided by $4$”: $15+\frac{5}{4}$ or $\frac{15+5}{4}$?
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$\frac{15+5}{4}$. Fraction bar groups the entire sum before dividing.
$\frac{15+5}{4}$. Fraction bar groups the entire sum before dividing.
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Find and correct the expression for “multiply $2$ by the sum of $8$ and $7$”: $2\cdot 8+7$.
Find and correct the expression for “multiply $2$ by the sum of $8$ and $7$”: $2\cdot 8+7$.
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$2(8+7)$. Parentheses needed to multiply the entire sum.
$2(8+7)$. Parentheses needed to multiply the entire sum.
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Find and correct the expression for “subtract $6$ from the product of $9$ and $4$”: $9(4-6)$.
Find and correct the expression for “subtract $6$ from the product of $9$ and $4$”: $9(4-6)$.
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$9\cdot 4-6$. Product first, then subtract; not multiply the difference.
$9\cdot 4-6$. Product first, then subtract; not multiply the difference.
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Identify which is larger without evaluating: $2(50+1)$ or $(50+1)$?
Identify which is larger without evaluating: $2(50+1)$ or $(50+1)$?
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$2(50+1)$. Multiplying by $2$ makes it twice as large.
$2(50+1)$. Multiplying by $2$ makes it twice as large.
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Identify the factor that makes $7(300+25)$ “times as large as” $(300+25)$.
Identify the factor that makes $7(300+25)$ “times as large as” $(300+25)$.
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$7$. The coefficient shows how many times larger.
$7$. The coefficient shows how many times larger.
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What is the numerical expression for “half of the sum of $14$ and $6$”?
What is the numerical expression for “half of the sum of $14$ and $6$”?
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$\frac{1}{2}(14+6)$. Half means multiply by $ rac{1}{2}$.
$\frac{1}{2}(14+6)$. Half means multiply by $ rac{1}{2}$.
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What is the numerical expression for “multiply the sum of $12$ and $3$ by $4$”?
What is the numerical expression for “multiply the sum of $12$ and $3$ by $4$”?
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$4(12+3)$. Parentheses group the sum before multiplying.
$4(12+3)$. Parentheses group the sum before multiplying.
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What is the numerical expression for “divide $24$ by $6$, then add $10$”?
What is the numerical expression for “divide $24$ by $6$, then add $10$”?
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$\frac{24}{6}+10$. Division happens first, then addition.
$\frac{24}{6}+10$. Division happens first, then addition.
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What is the numerical expression for “subtract $4$ from $18$, then divide by $7$”?
What is the numerical expression for “subtract $4$ from $18$, then divide by $7$”?
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$\frac{18-4}{7}$. Fraction bar groups the subtraction before dividing.
$\frac{18-4}{7}$. Fraction bar groups the subtraction before dividing.
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What is the numerical expression for “multiply $9$ by $5$, then subtract $3$”?
What is the numerical expression for “multiply $9$ by $5$, then subtract $3$”?
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$9\cdot 5-3$. Order of operations: multiply first, then subtract.
$9\cdot 5-3$. Order of operations: multiply first, then subtract.
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Which expression represents "$4$ groups of $(m+2)$"?
Which expression represents "$4$ groups of $(m+2)$"?
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$4 \times (m+2)$. "Groups of" means multiply the entire quantity in parentheses.
$4 \times (m+2)$. "Groups of" means multiply the entire quantity in parentheses.
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How many times as large is $\frac{1}{2} \times (a+b)$ compared to $(a+b)$?
How many times as large is $\frac{1}{2} \times (a+b)$ compared to $(a+b)$?
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It is $\frac{1}{2}$ as large. Multiplying by $\frac{1}{2}$ makes it half as large.
It is $\frac{1}{2}$ as large. Multiplying by $\frac{1}{2}$ makes it half as large.
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How many times as large is $3 \times (18932+921)$ compared to $(18932+921)$?
How many times as large is $3 \times (18932+921)$ compared to $(18932+921)$?
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It is $3$ times as large. Multiplying by $3$ makes the expression $3$ times larger.
It is $3$ times as large. Multiplying by $3$ makes the expression $3$ times larger.
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