What should be divided by - 1 2 to obtain the greatest negative integer?

Here, Given number = - 1 2 To find: The number which when divided by the given integer gives the greatest integer. We know, - 1 is the greatest negative integer. Let x be the number to be divided which when divided by the given number gives the greatest negative integer. According to the question, x - 1 2 = - 1 ⇒ - 2 x = - 1 ⇒ x = 1 2 Hence, 1 2 should be divided by - 1 2 to obtain the greatest negative integer.

What should be divided by - 1 2 to obtain the greatest negative integer?

Here, Given number = - 1 2 To find: The number which when divided by the given integer gives the greatest integer. We know, - 1 is the greatest negative integer. Let x be the number to be divided which when divided by the given number gives the greatest negative integer. According to the question, x - 1 2 = - 1 ⇒ - 2 x = - 1 ⇒ x = 1 2 Hence, 1 2 should be divided by - 1 2 to obtain the greatest negative integer.

Insert 3 rational numbers between - 1 2 and 1 5 .

Here, To find: 3 rational numbers between - 1 2 and 1 5 . To find the rational numbers between two rational numbers with different denominators, the denominators should be equated. Equating the denominators can be done either by finding their LCM or by multiplying the denominators of one to both the numerator and denominator of the other. Now, LCM of 2 and 5 is 10 . Hence, 3 rational numbers between - 1 2 and 1 5 are - 1 10 , ( 0 10 = 0 ) and 1 10 .

Simplify using the laws of exponents. 343 × 121 × a 5 77 × - a 4

Given: 343 × 121 × a 5 77 × - a 4 Laws of Exponents states that: When multiplying like bases, keep the base the same and add the exponents. When raising a base with a power to another power, keep the base the same and multiply the exponents. When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent. Now, 343 × 121 × a 5 77 × - a 4 = 7 × 7 × 7 × 11 × 11 × a 5 7 × 11 × - a 4 = 7 3 × 11 2 × a 5 7 1 × 11 1 × a 4 = 7 3 - 1 × 11 2 - 1 × a 5 - 4 = 7 2 × 11 × a = 539 a

E M B I B E

New Mathematics Today Class 7>Chapter 35 - Assessment>Assessment>Q 4

MEDIUM

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IMPORTANT

Earn 100

What should be divided by $- \frac{1}{2}$ to obtain the greatest negative integer?

Important Questions on Assessment

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IMPORTANT

New Mathematics Today Class 7>Chapter 35 - Assessment>Assessment>Q 4

Insert $3$ rational numbers between $- \frac{1}{2} and \frac{1}{5}$ .

EASY

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IMPORTANT

New Mathematics Today Class 7>Chapter 35 - Assessment>Assessment>Q 5

Find the value of $x$ in the proportion $x : π : : r^{3} : r$ .

EASY

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IMPORTANT

New Mathematics Today Class 7>Chapter 35 - Assessment>Assessment>Q 6

A sum is divided among four persons in the ratio $3 : 4 : 5 : 8$ . If the second largest share is $₹ 2500$ , what is the total sum?

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IMPORTANT

New Mathematics Today Class 7>Chapter 35 - Assessment>Assessment>Q 7

Find the smallest number by which $1323$ must be multiplied so that the product is a perfect cube?

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IMPORTANT

New Mathematics Today Class 7>Chapter 35 - Assessment>Assessment>Q 8

Simplify using the laws of exponents.

$\frac{343 \times 121 \times a^{5}}{77 \times {(- a)}^{4}}$

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IMPORTANT

New Mathematics Today Class 7>Chapter 35 - Assessment>Assessment>Q 9

Walking at a speed of $5.4 km / h$ , Rohan takes $40$ minutes to reach school. What time will it take if he runs at the speed of $8 km / h$ .

HARD

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IMPORTANT

New Mathematics Today Class 7>Chapter 35 - Assessment>Assessment>Q 10

A shopkeeper sells a set of pens for $₹ 840$ at a gain of $20 %$ and another for $₹ 960$ at a loss of $4 %$ . What is his total gain or loss percentage?

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IMPORTANT

New Mathematics Today Class 7>Chapter 35 - Assessment>Assessment>Q 11

Ram took a loan for $6$ years at the rate of $5 % p . a .$ If the simple interest paid was $₹ 1230$ , find the principal.