Addition and Subtraction of Negative Numbers Using Algebra

Q.

Use the sign of $>,<or=$ in the box to make the statements true:

$-231+79+51[]-399+159+81$

Q.

Simplify the following:

Q.

There is a 40 kilogram stone that broke into 4 pieces such that you can measure any weight between 1 kilogram to 40 kilogram using a balance what are the weights of the broken pieces

Q. In a class test (+3) marks are given for every correct answer and (-2) marks are given for every incorrect answer and no marks for not attempting a question. Rakesh scores 18 marks by attempting 16 questions. How many questions has he attempted correctly?

1. 4
2. 6
3. 8
4. 10

Q. Which is the smallest positive number?

Q.

What should be subtracted from -11/15 to get -3/15 ?

Q. When we add any two negative integers, we get _________ .

1. a positive integer
2. a negative integer
3. zero
4. (a) and (b) above.

Q. is additive identity of 5.

1. -5
2. \N
3. 1

Q.

Write five negative integers greater than $-6$.

Q.

Find out $\frac{2}{3}$ + $\frac{4}{3}$ from the number line and represent it on the number line.

Q.

Simplify the following:

Q. If $a$ and $b$ are positive integers, then the solution of the equation $ax=b$ has to be always ______.

1. positive
2. negative
3. one
4. zero

Q.

What should be the additive inverse of 9?

1. -9

2. 1

3. 0

4. -3

Q.

A diver descends 20 feet in the water from the boat at the surface of the lake. He then rose 12 feet and descends another 18 feet. At this point, what is his depth in water?

1. 13

2. 17

3. 21

4. 26

Q.

Explain how to use distributive property when simplifying an expression.

Q. There are $90$ multiple choice questions in a test. Two marks are awarded for every correct answer and one mark is deducted for every wrong answer.

Q.

Find the value of the following using properties.

$\left(-22\right)-\left(+15\right)+\left(-72\right)-\left(-17\right)+\left(-20\right)$

Q.

Explain the sign changing part while subtracting it's confusing

Q.

Simplify:

.

Q.

The organisers of an essay competition decide that a winner in the competition gets a prize of $100andaparticipantwhodoesnotwingetsaprizeof$25. The total prize money distributed is $3000. Find the number of winners, if the total number of participants is 63.

Q. A drum full of rice weighs kg. If the empty drum weighs kg, find the weight of rice in the drum.

Q.

Simplify.(i)$\frac{25\times t^{-4}}{5^{-3}\times 10\times t^{-8}},t\ne 0$, (ii)$\frac{3^{-5}\times {10}^{-5}\times 125}{5^{-7}\times 6^{-5}}$

Q. Find the value : -$13+(-69)+57-(-89)-(53+(-49\left)\right)$

1. 82
2. 74
3. 60
4. 58

Q. Evaluate $\left[{\left(5^{-1}\times 3^{-1}\right)}^{-1}÷6^{-1}\right].$

Q.

If $\mathrm{a}$ is whole number such that $\mathrm{a}+\mathrm{a}=\mathrm{a}$, then $\mathrm{a}$ is equal to

1. $0$

2. $1$

3. $2$

4. none of these.

Q.

The sum of $46$ and its additive inverse is:

1. $-46$

2. $1$

3. $0$

4. none of these

Q.

When a negative integer is subtracted from another negative integer, the sign of the result

1. is always negative

2. is always positive

3. is never negative

4. depends on the numerical value of the integers

Q.

The additive inverse of $14$ is $\_\_\_\_$.

Q.

Evaluate

$(-)-74-42-(-82)$

Q. Which among the following operation/s has/have 0 as an identity element?

1. Multiplication
2. Addition
3. Subtraction
4. (b) and (c) above.