Solve Multiplicative Comparison Word Problems - 4th Grade Math
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Find and correct the equation error: “$A$ is $3$ times as many as $B$,” written as $A=B+3$.
Find and correct the equation error: “$A$ is $3$ times as many as $B$,” written as $A=B+3$.
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Correct equation: $A = 3B$. "Times as many" requires multiplication, not addition.
Correct equation: $A = 3B$. "Times as many" requires multiplication, not addition.
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What is $x$ if “A cat weighs $24$ lb, which is $3$ times as much as a kitten” and $x$ is the kitten’s weight?
What is $x$ if “A cat weighs $24$ lb, which is $3$ times as much as a kitten” and $x$ is the kitten’s weight?
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$x = 8$. Kitten weighs $24 \div 3 = 8$ lb.
$x = 8$. Kitten weighs $24 \div 3 = 8$ lb.
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What is $x$ if “Sam has $3$ times as many coins as $8$ coins” and $x$ is Sam’s coins?
What is $x$ if “Sam has $3$ times as many coins as $8$ coins” and $x$ is Sam’s coins?
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$x = 24$. Sam has $3 \times 8 = 24$ coins.
$x = 24$. Sam has $3 \times 8 = 24$ coins.
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Identify the operation: In “$\frac{1}{4}$ as many,” do you multiply or divide?
Identify the operation: In “$\frac{1}{4}$ as many,” do you multiply or divide?
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Multiply by $\frac{1}{4}$ (or divide by $4$). A fraction 'as many' means multiply by that fraction.
Multiply by $\frac{1}{4}$ (or divide by $4$). A fraction 'as many' means multiply by that fraction.
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Identify the operation: In “$6$ times as many,” do you multiply or divide?
Identify the operation: In “$6$ times as many,” do you multiply or divide?
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Multiply. 'Times as many' always means multiply in word problems.
Multiply. 'Times as many' always means multiply in word problems.
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What equation matches: “A book costs $3$ times as much as a pen” (book = $b$, pen = $p$)?
What equation matches: “A book costs $3$ times as much as a pen” (book = $b$, pen = $p$)?
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$b = 3p$. Book costs $3$ times pen's price, so multiply $p$ by $3$.
$b = 3p$. Book costs $3$ times pen's price, so multiply $p$ by $3$.
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What equation matches: “Liam has $4$ times as many stickers as Mia” (Mia = $m$, Liam = $l$)?
What equation matches: “Liam has $4$ times as many stickers as Mia” (Mia = $m$, Liam = $l$)?
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$l = 4m$. Liam has $4$ times Mia's amount, so multiply $m$ by $4$.
$l = 4m$. Liam has $4$ times Mia's amount, so multiply $m$ by $4$.
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Which comparison is additive: “$12$ fewer than” or “$3$ times as many”?
Which comparison is additive: “$12$ fewer than” or “$3$ times as many”?
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“$12$ fewer than” is additive. 'Fewer than' indicates subtraction, which is additive comparison.
“$12$ fewer than” is additive. 'Fewer than' indicates subtraction, which is additive comparison.
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What does the phrase “$3$ times as many” mean in a comparison problem?
What does the phrase “$3$ times as many” mean in a comparison problem?
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It means multiply the smaller amount by $3$. In multiplicative comparison, 'times as many' indicates multiplication.
It means multiply the smaller amount by $3$. In multiplicative comparison, 'times as many' indicates multiplication.
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Find and correct the equation for “$18$ is $3$ times as many as $x$”: Is it $18 = 3 + x$ or $18 = 3x$?
Find and correct the equation for “$18$ is $3$ times as many as $x$”: Is it $18 = 3 + x$ or $18 = 3x$?
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Correct: $18 = 3x$. Multiplicative comparison uses multiplication, not addition.
Correct: $18 = 3x$. Multiplicative comparison uses multiplication, not addition.
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Find $x$: “A movie is $2$ times as long as $45$ minutes” where $x$ is the movie length in minutes.
Find $x$: “A movie is $2$ times as long as $45$ minutes” where $x$ is the movie length in minutes.
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$x = 90$. Movie is $2 \times 45 = 90$ minutes long.
$x = 90$. Movie is $2 \times 45 = 90$ minutes long.
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What is $x$ if “A tree is $6$ times as tall as a $5$ ft bush” and $x$ is the tree height?
What is $x$ if “A tree is $6$ times as tall as a $5$ ft bush” and $x$ is the tree height?
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$x = 30$. Tree is $6 \times 5 = 30$ ft tall.
$x = 30$. Tree is $6 \times 5 = 30$ ft tall.
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What is $x$ if “A ribbon is $4$ times as long as $6$ cm” and $x$ is the ribbon length?
What is $x$ if “A ribbon is $4$ times as long as $6$ cm” and $x$ is the ribbon length?
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$x = 24$. Ribbon is $4 \times 6 = 24$ cm long.
$x = 24$. Ribbon is $4 \times 6 = 24$ cm long.
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What is $x$ if “$63$ is $9$ times as many as $x$”?
What is $x$ if “$63$ is $9$ times as many as $x$”?
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$x = 7$. Divide: $63 \div 9 = 7$.
$x = 7$. Divide: $63 \div 9 = 7$.
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What is $x$ if “$56$ is $7$ times as many as a number $x$”?
What is $x$ if “$56$ is $7$ times as many as a number $x$”?
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$x = 8$. Divide: $56 \div 7 = 8$.
$x = 8$. Divide: $56 \div 7 = 8$.
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What is $x$ if “A jar holds $5$ times as many marbles as $9$ marbles” and $x$ is the jar amount?
What is $x$ if “A jar holds $5$ times as many marbles as $9$ marbles” and $x$ is the jar amount?
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$x = 45$. Jar holds $5 \times 9 = 45$ marbles.
$x = 45$. Jar holds $5 \times 9 = 45$ marbles.
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What is $36$ divided by $4$ in a “times as many” comparison (smaller amount)?
What is $36$ divided by $4$ in a “times as many” comparison (smaller amount)?
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$9$. Divide to find the smaller amount: $36 \div 4 = 9$.
$9$. Divide to find the smaller amount: $36 \div 4 = 9$.
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What is the unknown in $n = 6 \times 9$ if the word problem asks for the larger amount?
What is the unknown in $n = 6 \times 9$ if the word problem asks for the larger amount?
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$n$. $n$ represents the product, which is the larger amount.
$n$. $n$ represents the product, which is the larger amount.
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What does the phrase “$a$ times as much as $b$” mean in an equation?
What does the phrase “$a$ times as much as $b$” mean in an equation?
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$a \times b$. "Times as much" means multiply the quantities together.
$a \times b$. "Times as much" means multiply the quantities together.
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What does the phrase “$a$ times larger than $b$” mean for CCSS.4.OA.2 problems?
What does the phrase “$a$ times larger than $b$” mean for CCSS.4.OA.2 problems?
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Use multiplication: $b \times a$ (not $b + a$). "Times larger" means multiply, not add, in grade 4 contexts.
Use multiplication: $b \times a$ (not $b + a$). "Times larger" means multiply, not add, in grade 4 contexts.
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