Mathematics
State True or False :
(i) Like decimals have the same decimal parts.
(ii) The part of a decimal that lies to the left of the decimal point is called the whole number part.
(iii) When we divide a decimal by another decimal, the number of decimal places in the quotient is equal to the difference in the number of decimal places in the two decimals.
(iv) A decimal is called a terminating decimal if its whole number part is 0.
(v) A recurring decimal is one in which all the digits in the decimal part are repeated.
Answer
(i) False.
Reason — Like decimals have the same number of decimal places, not necessarily the same digits in the decimal parts.
(ii) True.
Reason — The digits to the left of the decimal point represent the whole number part.
(iii) False.
Reason — When dividing decimals, we first make the divisor a whole number. The number of decimal places in the quotient does not depend on the difference in decimal places.
(iv) False.
Reason — A decimal is called terminating if the division ends with a remainder of zero, regardless of what the whole number part is.
(v) False.
Reason — This describes a pure recurring decimal; however, a recurring decimal can also be a mixed recurring decimal where only some digits repeat.
Related Questions
The decimal 371.6258 rounded off correct to two decimal places is
- 371.626
- 371.63
- 371.625
- 371.62
Fill in the blanks :
(i) For addition or subtraction of decimals, we shall first convert them into …………… .
(ii) When we multiply a decimal by 1000, we move the decimal …………… places to the right.
(iii) When we divide a decimal by 100, we move the decimal two places to the …………… .
(iv) When we multiply two decimals, the number of decimal places in the product is equal to the …………… of the decimal places in the given decimals.
(v) A decimal in which some of the digits in the decimal part are not repeated while all the rest are repeated, is called a …………… decimal.
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