Download App

Rational Numbers — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSRational Numbers5 Marks
Question
Put the $(\checkmark ),$ wherever applicable.
Number Natural Number Whole Number Integer Fraction Rational Number
$(a)$ $-114$        
$(b)$ $\frac{19}{27}$        
$(c)$ $\frac{623}{1}$        
$(d)$ $-19\frac{3}{4}$        
$(e)$ $\frac{73}{71}$        
$(f)$ $0$        
✓

Answer

We know that, Natural numbers are $1, 2, 3, 4, ..$ 
Whole numbers are $0, 1, 2, 3, ...$
Integers are $-2, -1, 0, 1, 2, ...$
Fraction numbers are $\frac{1}{2},\frac{-1}{2},\frac{-7}{8}, \ ...$
Rational numbers are $\frac{3}{2},\frac{-1}{2},\frac{-7}{8},\ ...$
So, acoording to the numbrs systems,
$-114\rightarrow$ Integer and rational number
$a. \frac{19}{27}→$ Fraction and rational number
$b. \frac{623}{1}\rightarrow$ natture number, whole numbers, integer, fraction and rational numbers
$c. -19\frac{3}{4}=-\frac{79}{4}\rightarrow$ Rational number
$d. \frac{73}{71}\rightarrow$ Fraction and rational numbers
$e. 0\rightarrow$ Whole number, integer, fraction and rational number
Hence, the table is,
Number Natural Number Whole Number Integer Fraction Rational Number
$(a)$ $-114$   $\checkmark$   $\checkmark$
$(b)$ $\frac{19}{27}$     $\checkmark$ $\checkmark$
$(c)$ $\frac{623}{1}$ $\checkmark$ $\checkmark$ $\checkmark$ $\checkmark$
$(d)$ $-19\frac{3}{4}$       $\checkmark$
$(e)$ $\frac{73}{71}$     $\checkmark$ $\checkmark$
$(f)$ $0$ $\checkmark$ $\checkmark$ $\checkmark$ $\checkmark$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "5 Marks Questions" from Rational Numbers→Rational Numbers — all question types→MATHS STD 7 question papers→Gujarat Board STD 7 question papers→Gujarat Board question paper generator→

Similar questions

The performance of students in 1st term and 2nd term is as given below. Draw a double bar graph choosing appropriate scale and answer the following:
Subject:EnglishHindiMathsScienceS. Science
1st term:6772888173
2nd term:7065958575
(i) In which subject, has the children improved their performance the most?
(ii) Has the performance gone down in any subject?
→
The side $B C$ of $\triangle A B C$ is produced to a point $D$. The bisector of $\angle A$ meets side $B C$ in $L$. If $\angle A B C=30^{\circ}$ and $\angle A C D=115^{\circ}$, find $\angle A L C$.
→
In $\triangle PQR, PR = 8 \ cm, QR = 4 \ cm$ and $PL = 5 \ cm ($Fig$).$ Find:

$i.$ the area of the $\triangle PQR$
$ii. QM$
→
The hour and minute hands of a clock are $4.2\ cm$ and $7\ cm$ long respectively. Find the sum of the distances covered by their tips in $1$ day.
→
Find the time when: Divide $Rs. 3600$ into two parts such that if one part be lent at $9\%$ per annum and the other at $10\%$ per annum, the total annual income is $Rs. 333.$
→
Construct the following figure:
Image
How do we construct the petals so that they are of the maximum possible size within a given square?
→
The performance of a student in $1st$ Term and $2nd$ Term is given. Draw a double bar graph choosing appropriate scale and answer the question:
Subject $1^{st}$ term(M.M.$100)$ $2^{nd}$ term(M.M. $100)$
English $67$ $70$
Hindi $72$ $65$
Maths $88$ $95$
Science $81$ $85$
S. Science $73$ $75$
Has the performance gone down in any subject?
→
Draw a line $AB$ and take a point $P$ outside it. Draw a line $CD$ parallel to $AB$ and passing through the point $P.$
→
Designing a Healthy Diet
When you design your healthy diet, you want to make sure that you meet the dietary requirements to help you grow into a healthy adult. As you plan your menu, follow the following guidelines.
$1.$ Calculate your ideal weight as per your height from the table given at the end of this question.
$2.$ An active child should eat around $55.11$ calories for each kilogram desired weight.
$3. \ 55\%$ of calories should come from carbohydrates. There are $4$ calories in each gram of carbohydrates.
$4. \ 15\%$ of your calories should come from proteins. There are $4$ calories in each gram of proteins.
$5. \ 30\%$ of your calories may come from fats. There are $9$ calories in each gram of fats.
Following is an example to design your own healthy diet.
Example:
$1.$ Ideal weight $= 40\ kg.$
$2.$ The number of calories needed $= 40 \times 55.11 = 2204.4$
$3.$ Calories that should come from carbohydrates
$= 2204.4 \times 0.55 = 1212.42$ calories.
Therefore, required quantity of carbohydrates
$=\frac{1212.40}{4}=303.105\text{g}=300\text{g.}$
$4.$ Calories that should come from proteins
$= 2204.4 \times 0.15 = 330.66$ calories.
Therefore, required quantity of protein
$=\frac{330.66}{4}\text{g}=82.66\text{g}.$
$5.$ Calories that may come from fat $= 2204.4 \times 0.3$
$= 661.3$ calories.
Therefore, required quantity of fat
$=\frac{661.3}{9}\text{g}=73.47\text{g.}$
$1.$ Your ideal desired weight is $.......... kg.$
$2.$ The quantity of calories you need to eat is $........g$
$3.$ The quantity of protein needed is $.........g.$
$4.$ The quantity of fat required is $.........g.$
$5.$ The quantity of carbohydrates required is $.........g.$
 
 
Ideal Height and Weight Proportion
 
 
 
 
Men
 
 
Women
 
Height
 
Weight
Height
 
Weight
Feet
$cm$
Kilograms
Feet
$cm$
Kilograms
$5’$
$152$
$48$
$4’7”$
$140$
$34$
$5’1”$
$155$
$51$
$4’8”$
$142$
$36$
$5’2”$
$157$
$54$
$4’9”$
$145$
$39$
$5’3”$
$160$
$56$
$4’1”$
$147$
$41$
$5’4”$
$163$
$59$
$4’11”$
$150$
$43$
$5’5”$
$165$
$62$
$5’$
$152$
$45$
$5’6”$
$168$
$65$
$5’1”$
$155$
$48$
$5’7”$
$170$
$67$
$5’2”$
$157$
$50$
$5’8”$
$173$
$70$
$5’3”$
$160$
$52$
$5’9”$
$175$
$73$
$5’4”$
$163$
$55$
$5’10”$
$178$
$75$
$5’5”$
$165$
$57$
$5’11”$
$180$
$78$
$5’6”$
$168$
$59$
$6’$
$1834$
$81$
$5’7”$
$170$
$61$
$6’1”$
$185$
$84$
$5’8”4$
$173$
$64$
$6’2”$
$188$
$86$
$5’9”$
$175$
$66$
$6’3”$
$191$
$89$
$5’10”$
$178$
$68$
$6’4”$
$193$
$92$
$5’11”$
$180$
$70$
→
Find the missing values.
S.No.BaseHeightArea of the parallelogram
(i)20 cm$246 cm^2$
(ii)15 cm$154.5 cm^2$
(iii)8.4 cm$48.72 cm^2$
(iv)15.6 cm$16.38 cm^2$
→