Question
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication, $37$
✓
Answer
$(37)^2$ Here, $a = 3, b = 7$
$(37)^2= 37 × 37 = 1369$
$ (37)^2= 1369$
|
$\text{a}^2$
|
$2\text{ab}$
|
$\text{b}^2$
|
|
$\ \ (3)^2\\=9\\+{4}$
|
$2\times3\times7\\=42\\+\ \ 4$
|
$\ \ \ (7)^2\\=49$
|
|
$13$
|
$46$
|
$ (37)^2= 1369$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
In kite $WEAR, \angle\text{WEA}=70^\circ\text{and}\angle\text{ARW}=80^\circ.\ $Find the remaining two angles.
→A store is having a $25\%$ discount sale. Sheela has a $Rs. 50$ gift voucher and wants to use it to buy a board game marked for $Rs. 320.$ She is not sure how to calculate the concession she will get. The sales clerk has suggested two ways to calculate the amount payable.
Method $1:$ Subtract $Rs. 50$ from the price and take $25\%$ off the resulting price.
Method $2:$ Take $25\%$ off the original price and then subtract $Rs. 50.$
$a.$ Do you think both the methods will give the same result? If not, predict which method will be beneficial for her.
$b.$ For each method, calculate the amount Sheela would have to pay. Show your work.
$c.$ Which method do you think stores actually use? Why?
→Method $1:$ Subtract $Rs. 50$ from the price and take $25\%$ off the resulting price.
Method $2:$ Take $25\%$ off the original price and then subtract $Rs. 50.$
$a.$ Do you think both the methods will give the same result? If not, predict which method will be beneficial for her.
$b.$ For each method, calculate the amount Sheela would have to pay. Show your work.
$c.$ Which method do you think stores actually use? Why?
Solve the linear equation $\frac{x}{2} - \frac{1}{5} = \frac{x}{3} + \frac{1}{4}$.
→The present population of a town is $28000.$ If it increases at the rate of $5\%$ per annum, what will be its population after $2$ years$?$
→Find the area of the shaded portion in the following figures.
List price a cooler is $Rs. 2,563$. The rate of $VAT$ is $10\%$. The customer requests the shopkeeper to allow a discount in the price of the cooler to such an extent that the price remains Rs. $2,563$ inclusive of $VAT.$ Find the discount in the price of the cooler.
→After reading $\frac{7}{9}$ of a book, $40$ pages are left. How many pages are there in the book$?$
→Evaluate the following: $\sqrt[3]{\text{a}24}+\sqrt[3]{0.008}+\sqrt[3]{0.0064}$
→While studying her family’s history. Shikha discovers records of ancestors $12$ generations back. She wonders how many ancestors she has had in the past $12$ generations. She starts to make a diagram to help her figure this out. The diagram soon becomes very complex.
$a.$ Make a table and a graph showing the number of ancestors in each of the $12$ generations.
$b.$ Write an equation for the number of ancestors in a given generation $n.$
→$a.$ Make a table and a graph showing the number of ancestors in each of the $12$ generations.
$b.$ Write an equation for the number of ancestors in a given generation $n.$
Find the product:
$4.1xy(1.1x - y) $
→$4.1xy(1.1x - y) $