Jasmine needs to create invitations. She has 3/4 of an hour it takes her 1/12 to make each card. How to use a number line to represent the quotient?
Yasmine needs to create invitations for the party she has 3/4 of an hour to make the invitation it takes her 1/12 of an hour to make each card how many invitations can Yasmine create
To represent the quotient using a number line, you can follow these steps:
1. Determine the total number of invitations Jasmine needs to make. In this case, the total number of invitations is not given, so let's assume she needs to make "x" invitations.
2. Calculate how long it takes Jasmine to make one invitation. Given that it takes her 1/12 of an hour to make one card, it will take her 1/12 * 60 minutes = 5 minutes to make one invitation.
3. Divide the total time available by the time it takes to make one invitation. In this case, she has 3/4 of an hour, which is equal to 45 minutes. Dividing 45 by 5 gives us 45/5 = 9. So she can make 9 invitations in 45 minutes.
4. On the number line, represent the total time available (45 minutes) as the whole length of the line.
5. Divide the line into equal segments to represent the time it takes to make one invitation (5 minutes per segment). Mark each segment with a number to represent the number of invitations made in that time.
6. Start from the origin (0) and count up by the marked increments until you reach the number that represents the total invitations Jasmine can make in the given time (9 in this case).
This method visually represents the quotient (9) by dividing the total time available (45 minutes) into equal segments, each representing the time it takes to make one invitation (5 minutes).
To represent the quotient using a number line, you need to understand the relationship between fractions and division. Let's break down the problem and explain step by step:
Jasmine has 3/4 of an hour (or 45 minutes) to make invitations. The number line will represent the total time she has to make the invitations.
To start, draw a number line with 45 units or divisions to represent the total time available (45 minutes).
Next, we need to represent the time it takes Jasmine to make each card, which is 1/12 of an hour (or 5 minutes). Divide the number line into 12 equal divisions to represent 1 hour.
Now, fill in the number line to represent the time it takes Jasmine to make each card. Each division represents 5 minutes, so shade in 1 of the 12 divisions to indicate 5 minutes.
To find out how many cards Jasmine can create within the specified time, we need to determine the number of 5-minute segments on the number line that fit within 45 minutes (3/4 of an hour).
Count the number of shaded divisions within the 45 units of the number line. Each shaded division represents 5 minutes, so count the shaded divisions from 0 to 45. The resulting count represents the number of cards Jasmine can create.
For example, if you count 9 shaded divisions on the number line representing 45 minutes (3/4 of an hour), then Jasmine can create 9 cards within the given time frame.
Using a number line in this way allows us to visually represent the division problem and find the solution by counting the shaded divisions.