Maharashtra Board Class 5 Math Solution Chapter 9 – Decimal Fractions
Balbharati Maharashtra Board Class 5 Math Solution Chapter 9: Decimal Fractions. Marathi or English Medium Students of Class 5 get here Decimal Fractions full Exercise Solution.
|
Std |
Maharashtra Class 5 |
| Subject |
Math Solution |
|
Chapter |
Decimal Fractions |
PROBLEM SET 36
Write the following mixed fractions in decimal form and read them aloud
The decimal place is created for writing a fraction. When writing numbers, a dot (.) is written after the last digit of the whole part of a number to indicate the end of that part.
This symbol is called a decimal point. The decimal point is used to write 8/10 as 0.8. This is read as ‘zero point eight’.
(1) 3.9
(2) 1.4
(3) 5.3
(4) 0.8
(5) 0.7
PROBLEM SET 37
Write the following mixed fractions in decimal form and read them aloud.
(1)
| Fractions | Tens | Units | Tenths | Hundredths | Decimal fractions in figures | Decimal fractions
in words |
| 9 | 1 | 9.1 | Nine point one |
(2)
| Fractions | Tens | Units | Tenths | Hundredths | Decimal fractions in figures | Decimal fractions
in words |
| 9 | 0 | 1 | 9.01 | Nine point zero one |
(3)
| Fractions | Tens | Units | Tenths | Hundredths | Decimal fractions in figures | Decimal fractions
in words |
| 4 | 5 | 3 | 4.53 | Four point fifty three |
(4)
| Fractions | Tens | Units | Tenths | Hundredths | Decimal fractions in figures | Decimal fractions
in words |
| 7 | 8 | 0.78 | Zero point seven eight |
(5)
| Fractions | Tens | Units | Tenths | Hundredths | Decimal fractions in figures | Decimal fractions
in words |
| 5 | 0.05 | Zero point zero five |
(6)
| Fractions | Tens | Units | Tenths | Hundredths | Decimal fractions in figures | Decimal fractions
in words |
| 5 | 0 | 0.5 | Zero point five |
(7)
| Fractions | Tens | Units | Tenths | Hundredths | Decimal fractions in figures | Decimal fractions
in words |
| 2 | 0 | 0.2 | Zero point two |
(8)
| Fractions | Tens | Units | Tenths | Hundredths | Decimal fractions in figures | Decimal fractions
in words |
| 2 | 0 | 0.2 | Zero point two |
PROBLEM SET 38
Read the decimal fraction and write down the place value of each digit.
(1) 6.13
| Digits | 6 | 1 | 3 | ||
| Place | Hundreds | Tens | Units | Tenths | Hundredths |
| Place value | 6×1 = 6 | 1×1/10 = 0.1 | 3×1/100 = 0.03 |
(2) 48.84
| Digits | 4 | 8 | 8 | 4 | |
| Place | Hundreds | Tens | Units | Tenths | Hundredths |
| Place value | 4×10 = 40 | 8×1 = 8 | 8×1/10 = 0.8 | 4×1/100 = 0.04 |
(3) 72.05
| Digits | 7 | 2 | 0 | 5 | |
| Place | Hundreds | Tens | Units | Tenths | Hundredths |
| Place value | 7×10 = 70 | 2×1 = 2 | 0 | 5×1/100 = 0.05 |
(4)3.4
| Digits | 3 | 4 | |||
| Place | Hundreds | Tens | Units | Tenths | Hundredths |
| Place value | 3×1 = 3 | 4×1/10 = 0.4 |
(5) 0.59
| Digits | 0 | 5 | 9 | ||
| Place | Hundreds | Tens | Units | Tenths | Hundredths |
| Place value | 0 | 5×1/10 = 0.5 | 9×1/100 = 0.09 |
PROBLEM SET 39
1.) Write how many rupees and how many paise.
(1) 58.43
1 rupee = 100 paise
So, 58 rupees = (58×100) = 5800 paise
0.40 rupees = 40 paise
0.03 rupees = 3 paise
Answer = 58 rupees 43 paise.
(2) 9.30
1 rupee = 100 paise
So, 9 rupees = (9×100) = 900 paise
0.30 rupees =30paise
Answer = 9 rupees 30 paise.
(3) 2.30
1 rupee = 100 paise
So, 2 rupees = (2×100) = 200 paise
0.30 rupees = 30 paise
Answer = 2 rupees 30 paise.
(4) 2.3
1 rupee = 100 paise
So, 2 rupees = (2×100) = 200 paise
0.30 rupees = 30 paise
Answer = 2 rupees 30 paise.
2.) Write how many rupees in decimal form.
(1) 6 rupees 25 paise
1 paise = 0.01 rupees
25 paise = 0.25 rupees
So, 6 rupees 25 paise = 6.25 rupees
(2) 15 rupees 70 paise
1 paise = 0.01 rupees
70 paise = 0.70 rupees
So, 15 rupees 70paise = 15.70 rupees
(3) 8 rupees 5 paise
1 paise = 0.01 rupees
5 paise = 0.05 rupees
So, 8 rupees 5 paise = 8.05 rupees
(4) 22 rupees 4 paise = 22.04 rupees
(5) 720 paise = 7.20 rupees
- Write how many metres and how many centimetres.
(1) 58.75 m
1 m = 100 cm
58 m = (58×100) = 5800 cm
0.70 m = 70 cm
0.05 m = 5cm
Answer = 58 meters 75 centimeter
(2) 9.30 m
1 m = 100 cm
9 m = (9×100) = 900 cm
0.30 m = 30 cm
Answer = 9 meter 30 centimeter
(3) 0.30 m
0.30 m = 30 cm
Answer = 30 centimeter
(4) 0.3 m
0.3 m or 0.30 m = 30 cm
Answer = 30 centimeter
(5) 1.62 m
1 m = 100 cm
1 m = (1×100) = 100 cm
0.60 m = 60 cm
0.02 m = 2cm
Answer = 1 meters 62 centimeter
(6) 91.34 m = 91 meter 34 centimeter
(7) 7.02 m = 7 meter 2 centimeter
(8) 0.09 m = 9 centimeter
- Write how many metres in decimal form.
(1) 1 m 50 cm
1 cm = 0.01 meter
50 cm = 0.50 meter
so, 1 m 50 cm = 1.50 meter
(2) 50 m 40 cm
1 cm = 0.01 m
40 cm = 0.40 m
so, 50 m 40 cm = 50.40 m
(3) 50 m 4 cm
1 cm = 0.01 m
4 cm = 0.4 m
so, 50 m 4 cm = 50.4 m
(4) 734 cm
1 cm = 0.01 m
100 cm = 1 m
700 cm = 7 m
30 cm = 0.30 m
4 cm = 0.04 m
so, 734 cm = 7.34 m
(5) 10 cm
1 cm = 0.01 m
10 cm = 0.10 m
so, 10 cm = 0.10 m
(6) 2 cm
1 cm = 0.01 m
So, 2 cm = 0.02 m
5.) Write how many centimetres and how many millimetres.
(1) 6.9 cm
1 centimeter = 10 milimeters
6 cm = 60 mm
0.9 cm = 9 mm
So, 6,9 cm = 6 centimeter 9 milimeter
(2) 20.4 cm
1 centimeter = 10 milimeters
20 cm = 200 mm
0.4 cm = 4mm
So, 20.4 cm = 20 centimeter 4 milimeter
(3) 0.8 cm
1 centimeter = 10 milimeters
So, 0.8 cm = 8 mm
(4) 0.5 cm
1 centimeter = 10 milimeters
0.5 cm = 5 mm
6.) Write how many centimetres in decimal form.
(1) 7 cm 1 mm
1 cm = 10 mm
7 cm = 70 mm
1 mm = 0.1 cm
So, 7 cm 1 mm = 7.1 cm
(2) 16 mm
1 mm = 0.1 cm
10 mm = 1 cm
6 mm = 0.6 cm
16 mm = 1.6 cm
(3) 144 mm
1 mm = 0.1 m
10 mm = 1 cm
100 mm = 10 cm
40 mm = 4 cm
4 mm = 0.4 cm
So, 144 mm = 14.4 centimeter
(4) 8 mm
1 mm = 0.1cm
8 mm = 0.8 cm
PROBLEM SET 40
Write the following fractions as decimal fractions.
(1) two and a half = 2.5
a half = ½
To convert this fraction into decimal form, the denominator of ½ must be converted into an equivalent fraction with denominator 10.
½ = 1×5/2×5 = 5/10 so, the decimal form will be 0.50
(2) two and a quarter = 2.25
a quarter = ¼
To convert this fraction into decimal form, the denominator of ¼ must be converted into an equivalent fraction with denominator 100
¼ = 1×25/4×25 = 25/100 so, the decimal form will be 0.25
So the answer 2.25
(3) two and three quarters = 2.75
Three quarter = ¾
To convert this fraction into decimal form, the denominator of ¾ must be converted into an equivalent fraction with denominator 100
¾ = 3×25/4×25 = 75/100 so, the decimal form will be 0.75
So the answer 3.75
(4) ten and a half = 10.5
a half = ½
To convert this fraction into decimal form, the denominator of ½ must be converted into an equivalent fraction with denominator 10.
½ = 1×5/2×5 = 5/10 so, the decimal form will be 0.50
So the answer = 10.5
(5) fourteen and three quarters = 14.75
Three quarter = ¾
To convert this fraction into decimal form, the denominator of ¾ must be converted into an equivalent fraction with denominator 100
¾ = 3×25/4×25 = 75/100 so, the decimal form will be 0.75
So the answer 14.75
(6) sixteen and a quarter = 16.25
a quarter = ¼
To convert this fraction into decimal form, the denominator of ¼ must be converted into an equivalent fraction with denominator 100
¼ = 1×25/4×25 = 25/100 so, the decimal form will be 0.25
So the answer 16.25
(7) twenty-eight and a half = 28.5
a half = ½
To convert this fraction into decimal form, the denominator of ½ must be converted into an equivalent fraction with denominator 10.
½ = 1×5/2×5 = 5/10 so, the decimal form will be 0.50
So the answer = 28.5
PROBLEM SET 41
1.) Convert the following into decimal fractions and add them.
(1) ‘One and a half metre’ and ‘two and a half metres’
One and half metre = 1.5 meter
Two and half meter = 2 meter
| 1 . 5
+ 2 |
| 3 . 5 |
Answer = 3.5 metres
(2) ‘Four and three quarter rupees’ and ‘seven and a quarter rupees’
Four and three quarter = 4.75
Seven and a quarter = 7.25
| 11 |
| 4.75
+7.25 |
| 12.00 |
Answer = 12 rupees.
(3) ‘Six and a half metres’ and ‘three and three quarter metres’.
Six and half metres = 6.5 metres
Three and three quarter metres = 3.75 metres
| 1 |
| 6.5
+3.75 |
| 10.25 |
Answer = 10.25 metres
2.)
(1) 23.4 + 87.9
| 1 3 |
| 23.4
+87.9 |
| 111.3 |
Answer = 111.3
(2) 35.74 + 816
| 1 1 |
| 35.74
+816.60 |
| 852.34 |
Answer = 852.34
(3) 6.95 + 47.88
| 1 11 |
| 6.95
+47.88 |
| 54.83 |
Answer = 54.83
(4) 41.03 + 9.98
| 1 . 11 |
| 41.03
+9.98 |
| 51.01 |
Answer = 51.01
3.)
(1) 51.4 cm + 68.5 cm
| 51.4
+68.5 |
| 119.9 |
Answer = 119.9 cm
(2) 94.7 m + 1738.45 m
| 11 1 |
| 1738.45
+ 94.7 |
| 1833.15 |
Answer = 1833.15 m
(3) 5158.75 + 841.25
| 111 11 |
| 5158.75
+841.25 |
| 6000.00 |
Answer = 6000.00
PROBLEM SET 42
1.) Subtract the following :
(1) 25.74 – 13.42
| H | T | U | Tenths | Hundredths | |
| 2
1 |
5
3 |
.
. |
7
4 |
4
2 |
|
| 1 | 2 | . | 3 | 2 |
answer = 12.32
(2) 206.35 – 168.22
| H | T | U | Tenths | Hundredths | |
| 1 | 1 | ||||
| 2
1 |
0
6 |
6
8 |
.
. |
3
2 |
5
2 |
| 0 | 3 | 8 | . | 1 | 3 |
Answer = 38.13
(3) 63.4 – 31.8
| H | T | U | Tenths | Hundredths | |
| 1 | |||||
| 6
3 |
3
1 |
.
. |
4
8 |
|
|
| 3 | 1 | . | 6 |
Answer = 31.6
(4) 63.43 – 31.8
| H | T | U | Tenths | Hundredths | |
| 6
3 |
3
1 |
.
. |
4
8 |
3
0 |
|
| 3 | 1 | 6 | 3 |
Answer = 31.63
(5) 63.4 – 31.83
| H | T | U | Tenths | Hundredths | |
| 1 | 1 | ||||
| 6
3 |
3
1 |
.
. |
4
8 |
0
3 |
|
| 3 | 1 | . | 5 | 7 |
Answer = 31.57
(6) 8.23 – 5.45
| H | T | U | Tenths | Hundredths | |
| 1 | 1 | ||||
|
|
8
5 |
.
. |
2
4 |
3
5 |
|
| 2 | . | 7 | 8 |
Answer = 2.78.
(7) 18.23 – 9.45
| H | T | U | Tenths | Hundredths | |
| 1 | 1 | 1 | |||
| 1
|
8
9 |
.
. |
2
4 |
3
5 |
|
| 0 | 8 | . | 7 | 8 |
Answer = 8.78
(8) 78.03 – 41.65
| H | T | U | Tenths | Hundredths | |
| 1 | 1 | ||||
| 7
4 |
8
1 |
.
. |
0
6 |
3
5 |
|
| 3 | 6 | . | 3 | 8 |
Answer = 36.38
2.) Vrinda was 1.48 m tall. After a year, her height became 1.53 m. How many centimetres did her height increase in a year ?
Vrinda’s height was = 1.48 m
Her height after 1 year = 1.53
So calculating her height increase,
| T | U | Tenths | Hundredths | |
| 1 | ||||
| 1
1 |
.
. |
5
4 |
3
8 |
|
| 0 | . | 0 | 5 |
1 m = 100 cm
0.05 m = 5 cm
Answer = her height increased 5 centimetres in a year.
For More Solutions, Click Below:
Part One:
- Chapter 1 Roman Numerals
- Chapter 2 Number Work
- Chapter 3 Addition and Subtraction
- Chapter 4 Multiplication and Division
- Chapter 5 Fractions
- Chapter 6 Angles
- Chapter 7 Circles
Part Two:
