Find the values of: 3 . 1428 and 0 . 31428 correct to three decimal places.

Long division method is also used to find approximate square roots of numbers or decimals up to certain decimal places. Below are the steps that needs to be followed to find the square root of a number that have numbers after decimal point: 1. Place a suitable number of a pair of zeros after the decimal point. 2. Now find the square root of the number using long division method. Please refer to video to see the long division method to find the square root. 3. After that round off the quotient. 1 . 7 7 1 3 . 14 28 1 ↓ 27 2 14 1 89 ↓ 347 2528 2429 99 and 0 . 5 6 0 0 0 . 31 42 8 0 ↓ 5 0 31 25 106 642 636 6 So, the value of the given numbers will be 1 . 77 and 0 . 560 .

Simplify: 0 . 0441 0 . 000441 .

Long division is one method in which the concept of division, multiplication, and subtraction is used simultaneously. Not only is this about division, but students must also understand the use of long division, and the meaning of divisors, dividends, and multiples. 0 . 2 1 0 0 . 04 41 0 ↓ 02 04 04 ↓ 41 41 41 0 and 0 . 02 1 0 0 . 00 04 41 0 ↓ 02 0 04 04 ↓ 41 41 41 0 The value of 0 . 0441 0 . 000441 = 0 . 21 0 . 021 = 10 .

Simplify: 49 + 0 . 49 + 0 . 0049 .

Square root of a number is a value, which on multiplication by itself, gives the original number. The square root symbol is usually denoted as ‘ ’. It is called a radical symbol. 49 = 7 × 7 = 7 . 0 . 49 = 49 100 = 7 2 10 2 = 7 10 = 0 . 7 . 0 . 0049 = 49 10000 = 7 2 10 4 = 7 100 = 0 . 07 . 49 + 0 . 49 + 0 . 0049 = 7 . 77 .

The area of a square field is 101 1 400 m 2 . Find the length of one side of the field.

In geometry, the area of shapes like quadrilaterals, a circle that means 2d shapes can be found by counting the number of squares on a sheet of paper with grids (square shaped) and using simple formulas. Given, The area of a square plot = 101 1 400 m 2 . Let the length of square plot = x m . Then area of square = x 2 m 2 . As per question, Area = 101 1 400 m 2 . So, x 2 = 101 1 400 m 2 = 40401 400 m 2 . x = 40401 m 2 400 . x = 201 20 m . Hence, the answer is 10 1 20 m .

E M B I B E

Secondary Mathematics Class -VIII>Chapter 1 - Squares and Square Roots>BRAIN TEASERS

Principal Mohan Lal and J.C. Nijhawan Solutions for Chapter: Squares and Square Roots, Exercise 6: BRAIN TEASERS

Author:Principal Mohan Lal & J.C. Nijhawan

Principal Mohan Lal Mathematics Solutions for Exercise - Principal Mohan Lal and J.C. Nijhawan Solutions for Chapter: Squares and Square Roots, Exercise 6: BRAIN TEASERS

Attempt the free practice questions on Chapter 1: Squares and Square Roots, Exercise 6: BRAIN TEASERS with hints and solutions to strengthen your understanding. Secondary Mathematics Class -VIII solutions are prepared by Experienced Embibe Experts.

Questions from Principal Mohan Lal and J.C. Nijhawan Solutions for Chapter: Squares and Square Roots, Exercise 6: BRAIN TEASERS with Hints & Solutions

MEDIUM

8th CBSE

IMPORTANT

Secondary Mathematics Class -VIII>Chapter 1 - Squares and Square Roots>BRAIN TEASERS>Q 2

Find the square root of $10$ correct to four places of decimal.

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8th CBSE

IMPORTANT

Secondary Mathematics Class -VIII>Chapter 1 - Squares and Square Roots>BRAIN TEASERS>Q 3

Find the values of: $\sqrt{3.1428}$ and $\sqrt{0.31428}$ correct to three decimal places.

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8th CBSE

IMPORTANT

Secondary Mathematics Class -VIII>Chapter 1 - Squares and Square Roots>BRAIN TEASERS>Q 4

Simplify: $\frac{\sqrt{0.0441}}{\sqrt{0.000441}}$ .

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8th CBSE

IMPORTANT

Secondary Mathematics Class -VIII>Chapter 1 - Squares and Square Roots>BRAIN TEASERS>Q 4

Simplify: $\sqrt{49} + \sqrt{0.49} + \sqrt{0.0049}$ .

MEDIUM

8th CBSE

IMPORTANT

Secondary Mathematics Class -VIII>Chapter 1 - Squares and Square Roots>BRAIN TEASERS>Q 5

The area of a square field is $101 \frac{1}{400} m^{2}$ . Find the length of one side of the field.

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8th CBSE

IMPORTANT

Secondary Mathematics Class -VIII>Chapter 1 - Squares and Square Roots>BRAIN TEASERS>Q 6

What is that number which when multiplied by itself gives $227.798649$ ?

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8th CBSE

IMPORTANT

Secondary Mathematics Class -VIII>Chapter 1 - Squares and Square Roots>BRAIN TEASERS>Q 7

In a lecture hall, $8649$ students are sitting in such a manner that there are as many students in a row as there are rows in the lecture hall. How many students are there in each row of the lecture hall?

MEDIUM

8th CBSE

IMPORTANT

Secondary Mathematics Class -VIII>Chapter 1 - Squares and Square Roots>BRAIN TEASERS>Q 8

A General wishing to draw up his $64, 019$ men in the form of a square found that he had $10$ men extra. Find the number of men in the front row.