How to Multiply Time Step by Step with Formula and Solved Examples
In a day there are 24 hours. Each hour has 60 minutes in total and each minute has 60 seconds in it. To multiply and divide the time you should remember this basic information. The extra seconds, minutes, and hours should be converted into the next bigger unit, if there are more than 60 seconds in your answer you will convert it into minutes and so on. We will learn the concept by the example of multiplication and division of time.
Multiplication of Time
Time can be added and subtracted as well as multiplied easily. In order to multiply time, you need to remember some rules which will help you in calculating the answer.
If after multiplication you have more than 59 seconds, then divide the number by 60. The remainder you will get is the number of seconds and the quotient would change into the number of minutes.
The same is for the minutes, here if you have more than 59 minutes then divide it by 60 and the remainder is your required minutes and the quotient you got is the number of hours.
For hours, if there are more than 23 hours then divide the number by 24 and the remainder you got will be the hours and the quotient will be the number of days.
Division of Time
The division of time can be done like it was multiplied. Here we will change the time from the largest to the smallest unit. The rules which will help you to divide time are given below.
After dividing time if you get the quotient as the decimal number then, the whole number should be counted as the number of days and the decimal point should be multiplied by 24 to get the number of hours.
If dividing the hour's quotient comes out as a decimal number then, the whole number part is counted as the number of hours, and the decimal part is multiplied by 60 to get the number of minutes.
The same needs to be done for minutes where the whole number part of the quotient will be the number of minutes and the decimal part of the number will be multiplied by 60 to get the number of seconds.
Example of Multiplication of Time
If a person travels for 6 days and takes 15 hours 40 minutes 22 seconds in a day. Then how much time did he spend traveling for 5 days?
In order to find the total time he spent on traveling for 5, we need to multiply 6 by 15 hours 40 minutes, and 22 seconds.
As there are 60 seconds which will make a minute. The result we got is 110 seconds, which means that 110 needs to be divided by 60. We will get quotient 1 and the remainder as 50. So the quotient 1 needs to be carried over to the minutes and the total number of seconds we get is 50 seconds.
Now, 200 minutes need to be divided by 60 as in an hour there are only 60 minutes. After dividing 200 by 60 we will get the quotient as 3 and the remainder will be 20. 3 would be carried over in the hour's column and 20 would be added to the extra 1 minute that we got from the second column. The total number of minutes we now have is 21 minutes.
75 hours need to be changed by dividing it by 24. The quotient we get is 3 and the remainder is also 3. So the quotient will be changed into the number of days (3 days) and the remainder obtained is our number of hours (3 hours)
So the total time he spent traveling for 5 days is 3 days 6 hours 21 minutes 50 seconds.
How Do We Divide Time in Order to Understand It?
To understand how to divide time we can take an example. Divide 20 hours 14 minutes by 5.
The division of the time is done in a way that is similar to the division of normal numbers. First, divide 20 hours 14 minutes by 5 the answer we get is 4 hours 2.8 minutes. As the minutes are in decimal numbers and we need to change them to whole numbers. The number before the decimal is considered as the whole number of minutes and the number after the decimal is the fraction part of the minute which needs to be changed into seconds.
So, we need to multiply 0.8 by 60 which will result in 48. Now we got 2 minutes and 48 seconds as the answer. So we got the final answer as 4 hours 2 minutes and 48 seconds.
Conclusion
The time can be added, subtracted, multiplied, and divided using some basic rules. There are 24 hours in a day, 60 minutes in an hour, and 60 seconds in a minute. In order to convert a large quantity (hours) to a smaller quantity (minutes or seconds) we need to divide and if we need to convert a small quantity (seconds) to a larger one (hours) then we need to multiply. This conversion help will help you to calculate the time correctly.
Sample Questions
1. How many minutes are there in 320 seconds?
4
5
6
7
Ans: 5
Explanation: there are 5 minutes and 20 seconds in 320 seconds. To calculate we just need to divide 320 by 60 and the quotient will be our minutes and the remainder will be our seconds.
2. How many days are there in 54 hours?
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3
4
5
Ans: 2
Explanation: to find the number of days 54 hours divide it by 24. The quotient obtained is the number of days and the remainder is the number of hours. So, in 54 hours there are 2 days and 6 hours.
3. How many minutes are there in a day?
1220
1330
1440
1550
Ans: 1440
Explanation: To find the total number of minutes in a day we need to multiply 24 and 60. This will result in 1440.
FAQs on Time Multiply Made Easy for Hours and Minutes
1. What does it mean to multiply time in maths?
Multiplying time means finding the total duration when a specific time interval is repeated a certain number of times. In other words, you calculate time × number to get the total time.
- Example: 45 minutes × 3
- 45 × 3 = 135 minutes
- 135 minutes = 2 hours 15 minutes
2. How do you multiply time by a whole number?
To multiply time by a whole number, multiply each unit separately and then convert if needed. The key step is to adjust minutes or seconds if they exceed 60.
- Step 1: Multiply hours and minutes separately.
- Step 2: Convert minutes to hours if minutes ≥ 60.
- Example: 2 hours 40 minutes × 2
- Hours: 2 × 2 = 4
- Minutes: 40 × 2 = 80 minutes
- 80 minutes = 1 hour 20 minutes
- Total = 5 hours 20 minutes
3. What is the formula for multiplying time?
The basic formula for multiplying time is Total Time = Given Time × Multiplier. You must convert units properly after multiplication.
- Multiply hours, minutes, or seconds.
- If minutes ≥ 60, divide by 60 to convert into hours.
- If seconds ≥ 60, divide by 60 to convert into minutes.
4. How do you multiply hours and minutes correctly?
To multiply hours and minutes correctly, multiply each part and then convert excess minutes into hours. Always regroup minutes if they exceed 60.
- Example: 1 hour 35 minutes × 3
- Hours: 1 × 3 = 3
- Minutes: 35 × 3 = 105 minutes
- 105 minutes = 1 hour 45 minutes
- Total = 4 hours 45 minutes
5. How do you multiply time in minutes only?
To multiply time in minutes only, multiply the number of minutes and convert to hours if needed. The conversion rule is 60 minutes = 1 hour.
- Example: 50 minutes × 4
- 50 × 4 = 200 minutes
- 200 ÷ 60 = 3 hours 20 minutes
- Final Answer = 3 hours 20 minutes
6. Can you multiply time with seconds included?
Yes, you can multiply time with seconds by multiplying seconds separately and converting when they exceed 60. Remember that 60 seconds = 1 minute.
- Example: 2 minutes 30 seconds × 2
- Minutes: 2 × 2 = 4
- Seconds: 30 × 2 = 60 seconds
- 60 seconds = 1 minute
- Total = 5 minutes
7. How do you multiply time using improper conversion method?
The improper conversion method means converting all time into one unit before multiplying. This often reduces errors in time calculations.
- Example: 1 hour 20 minutes × 3
- Convert to minutes: 1 hour 20 minutes = 80 minutes
- 80 × 3 = 240 minutes
- 240 ÷ 60 = 4 hours
8. What are common mistakes when multiplying time?
The most common mistake when multiplying time is forgetting to convert minutes or seconds when they exceed 60. Proper regrouping is essential.
- Not converting 75 minutes into 1 hour 15 minutes
- Ignoring that 60 seconds = 1 minute
- Adding instead of multiplying units
9. How do you multiply time in word problems?
To multiply time in word problems, identify the time per event and multiply by the number of events. This gives the total duration.
- Example: A movie lasts 1 hour 45 minutes. What is the time for 2 shows?
- Convert to minutes: 105 minutes
- 105 × 2 = 210 minutes
- 210 ÷ 60 = 3 hours 30 minutes
10. Why is converting time important when multiplying?
Converting time is important when multiplying because time units follow base-60 rules, not base-10. The key conversions are 60 minutes = 1 hour and 60 seconds = 1 minute.
- Without conversion, answers may exceed standard time format.
- Example: 90 minutes should be written as 1 hour 30 minutes.
- Correct conversion ensures accurate elapsed time and duration results.
