4.1 Understand Comparing with Multiplication
Which statement can be represented by the equation 3x9=27?
A. 3 is 3 times as much as 27.
B. 27 is 9 times as much as 9.
C. 3 is 9 times as much as 27.
D. 27 is 3 times as much as 9.
D. 27 is 3 times as much as 9.
What equation can you write to represent and solve the comparison?
2 times as long as 9 feet
2x9=18
What is the unknown number? Write an equation, then solve.
45 is ? times as much as 9
45=?x9
?=5
What is the unknown number? Write a division equation, then solve.
18 is ? times as much as 6
18÷6=?
?=3
What is the sum?
2,349+8,254
10,603
Draw a picture to represent the statement:
12 is 2 times many as 6.
**Check drawing**
What equation can you write to represent and solve the comparison?
5 times as far as 10 miles
5x10=50
What is the unknown number? Write an equation, then solve.
35 is 7 times as many as ?
35=7x?
?=5
What is the unknown number? Write a division equation, then solve.
20 is ? times as much as 5.
20÷5=?
?=4
How can you compare the numbers? Use an inequality symbol.
253,059____253,207
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What equation can be used to represent 36 is 9 times as many as 4 and 4 times as many as 9?
36=9x4
or
36=4x9
Raya has 8 pencils in her school box. Miranda has 4 times as many pencils than Raya. How many pencils does Miranda have?
Draw a bar diagram and create an equation.
**Check drawing**
8x4=32 pencils
A tomato plant is 48 inches tall. How many times as tall is the tomato plant as a pepper plant that is 8 inches tall?
6 times as tall
?x8=48
A piece of green string is 48 inches long. How many times as long is the green string than a piece of red string that is 8 inches long?
Draw a bar diagram and write a division equation to solve.
**Check diagram**
48÷8=?
?= 6 times as long
Rick has $45,836 to give to three charities. He gives one charity $12,400. How much money does Rick have left for the remaining charities?
$33,436
Welding fuel comes in bottles of many sizes. The smallest bottle weighs 8 pounds, and the largest bottle weighs 9 times as much. What equation can you write to show how much the largest bottle weighs?
9x8=72 pounds
A cat's tail can be 10 inches long. A lion's tail can be 3 times as long. How long can a lion's tail be?
Write an equation and draw a diagram to solve the problem.
3x10=30 inches
**Check diagram**
Dana saved $63. Dana saved 7 times as much as Julie. How much did Julie save?
$9
Charlie read 4 times as many pages as his sister. Charlie read 36 pages of his book. How many pages did Charlie's sister read? What equations represent the problem? Choose all that apply.
A. 36+4=?
B. 36-4=?
C. 4x?=36
D. 4x36=?
E. ?÷4=36
F. 36÷4=?
C + F
Write this number in word and expanded form:
857,014
eight hundred fifty-seven thousand, fourteen
800,000+50,000+7,000+10+4
Aaron plants a garden with 4 tomato plants, 3 times as many pepper plants as tomato plants, and twice as many zucchini plants as pepper plants.
How many plants does Aaron plant in all?
40 plants
Naomi wants to place three bookcases along a 7-foot wall. Each bookcase is 4 feet wide. She says the bookcases will fit, since 7 feet is 3 times longer than 4 feet. What would you tell her? Explain.
7 feet is 3 feet longer than 4 feet, not 3 times longer. Naomi added instead of multiplying. She needs 12 feet to fit the bookcases.
Vela practiced piano 12 hours last week. Ryan practiced 4 hours. How many times longer did Vela practice than Ryan
Vela practiced 3 times as long as Rian.
Michael scored 80 points on a video game. Alicia says his score is 4 times as much as her score. Michael thinks Alicia scored 320 points. How would you respond to him? Explain.
Michael multiplied 80 to 4 to find Alicia's score. He should divide 80 by 4 since he scored 4 times as much as she did.
The Blue Whale's tongue weight 5,952 pounds. A students says that the 5s in this number are 20 apart from each other. Is this correct or incorrect? Explain, using your knowledge of place value.