Mathematics
Assertion: To multiply a decimal number by 1000, we move the decimal point in the number to the right by three places.
Reason: To multiply two decimals, we first convert them into fractions.
- Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
- Assertion (A) is true but Reason (R) is false.
- Assertion (A) is false but Reason (R) is true.
Answer
Assertion (A) is true but Reason (R) is false.
Explanation
When we multiply a decimal by 1000, we shift the decimal point three places to the right.
Example:
2.45 × 1000 = 2450
The Reason is false.
To multiply two decimals, we do not need to convert them into fractions. We multiply the numbers normally and then place the decimal point according to the total number of decimal places.
Hence, option 3 is the correct option.
Related Questions
The signboard provided alongside shows the costs for various articles available at the Hamburg Bakery shop. Sanya comes here to buy bakery items for her friends who would be visiting her home tonight. She prepares a list of all the items that she has to buy - 4 pineapple pastries, 5 patties, 2 doughnuts and a box of cookies. Each pineapple pastry costs ₹25.50, each patty costs ₹12.25, each doughnut costs ₹21.75 and the box of cookies costs ₹79.50 Sanya’s father gave her a 500 rupee note.
(1) What will be the bakery bill for Sanya?
- ₹192.75
- ₹286.25
- ₹166.50
- ₹225.00
(2) When Sanya gives the 500 rupee note to the bakery owner, what amount will she get in return after paying the bill?
- ₹307.25
- ₹333.50
- ₹275.00
- ₹213.75
(3) On the way back Sanya bought 6 pens, each costing ₹17.75. How much did she spend on pens?
- ₹106.50
- ₹95.25
- ₹124.00
- ₹84.75
(4) She returned all the money left with her to her father. How much did she return?
- ₹129
- ₹89.75
- ₹118.50
- ₹107.25
There is a 0.37 km long jogging track in Laleh Park. Shruti lives 0.42 km away from the track. Every morning Shruti goes jogging to Laleh park. She usually starts jogging from home and after reaching the park, goes jogging 8 times around the track. She then returns home by a friend's car.
(1) How much distance does she jog every morning?
- 0.79 km
- 3.38 km
- 3.73 km
- 6.32 km
(2) How many rounds of the track make a distance of 4.44 km?
- 9
- 10
- 11
- 12
(3) On a particular day, she began jogging from her home and completed 10 rounds of the track. How much did she jog on that day?
- 3.28 km
- 4.12 km
- 4.57 km
- 7.9 km
(4) One day her friend could not come. So, she had to jog back home after completing 8 rounds of the track. How much did she jog on that day?
- 3.8 km
- 4.1 km
- 4.6 km
- 5.1 km
Assertion: 0.2222 …………… is a recurring decimal.
Reason: In a decimal if a digit or a group of digits in the decimal part is repeated, continuously, then such a number is called a recurring decimal.
- Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
- Assertion (A) is true but Reason (R) is false.
- Assertion (A) is false but Reason (R) is true.
Assertion: If we round off 15.406 to the nearest hundredths, we get 15.41.
Reason: To the nearest hundredths means, correct to 3 decimal places.
- Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
- Assertion (A) is true but Reason (R) is false.
- Assertion (A) is false but Reason (R) is true.