Integers

Q.

Question 1 (iii)
Write $4\frac{1}{8}$ in decimal form and say what kind of decimal expansion it has.

Q. What can be the maximum number of digits in the repeating block of digits in the decimal expansion of $\frac{1}{17}$? Perform the division to check your answer.

Q.

Every natural number is integer true or false $?$

1. True
2. False

Q.

is neither a positive nor a negative integer.

Q.

The value of 101 x 99 is

1. 1111

2. 9889

3. 9999

4. 8998

Q.

Every whole number is a natural number but every natural number is not a whole number.

1. True

2. False

Q. How to represent 2/5 and 3/7 on single number line

Q. Find five rational numbers between $3$ and $4$.

Q. Question 6 (ii)
Write the place value of 2 in the following decimal numbers:
21.37

Q. The rational and the irrational numbers together constitute the ______ numbers.

1. real
2. integer
3. whole
4. natural

Q.

Zero is greater than every ____ integer.

Q.

Is zero the smallest positive integer?

Q. Question 6 (iv)
Write the place value of 2 in the following decimal numbers:
9.42

Q.

Kayla claims that the absolute value of a number is always greater than the number itself. Which statement about her claim is true?

1. Kayla is correct. Any positive number is greater than a negative, and absolute value of a number is always positive.

2. Kayla is correct. The distance between 0 and a number is always more than the number.

3. Kayla is incorrect. The absolute value of a positive number is negative, and negative numbers are less than positive numbers.

4. Kayla is incorrect. The absolute value of $0$ or a positive number is equal to the number.

Q.

$\frac{5}{27}$ has a terminating decimal , state true or false

1. True

2. False

Q.

Difference of two whole numbers is always a whole number.

1. True
2. False

Q.

Which of the following numbers is/are integers but not natural numbers?

1. $-2$
2. $0$
3. $1$
4. $3$

Q.

Expand ${\left(\frac{7}{9}\right)}^3$.

1. $\frac{343}{729}$

2. $\frac{729}{343}$

3. $\frac{49}{81}$

4. $\frac{81}{49}$

Q.

Complete the following addition table :

SECOND NUMBER

F I R S T N U M B E R	$+$	$-4$	$-3$	$-2$	$-1$	$0$	$1$	$2$	$3$	$4$
	$-4$
	$-3$
	$-2$
	$-1$
	$0$
	$1$
	$2$
	$3$
	$4$

Now from the above table answer the following :

(a) List the pair of integers whose sum is zero.

(b) What do you observe in the row corresponding to zero as the first number and in the column corresponding to zero as the second number ?

(c) Is $(-4)+3=3+(-4)$? Is $3+(-1)=(-1)+3$?

(d) Is $(-2)+(-3)$ an integer?

Q. Difference between two natural numbers is always a whole number.

1. True
2. False

Q.

Express $15$ as sum of two or more prime numbers.

Q. _______+_______=8 + + ________- ______=6 =13 =8

Q. State whether the following statement is true or false? Give reason for your answer.
Every natural number is a whole number.

1. True
2. False

Q.

The number of non-negative and non-positive integers is/are ___.

Q.

Without actually performing the long division, state whether the following rational number will have a terminating decimal expansion or a non-terminating decimal expansion:
$\frac{7^3}{2^3\times 5^2}$ and $\frac{3\times 7^3}{2^3\times 3}$

1. $\frac{7^3}{2^3\times 5^2}$ - Terminating
   
   $\frac{3\times 7^3}{2^3\times 3}$ - Non terminating

2. Both have terminating decimal expansions.

3. $\frac{7^3}{2^3\times 5^2}$ - Non terminating
   
   $\frac{3\times 7^3}{2^3\times 3}$ - Terminating

4. Both have non-terminating decimal expansions.

Q.

The number of non-negative and non-positive integers are

___.

Q.

At a school dance, the ratio of boys to girls is 6 : 11. If there were a total of 425 students at the dance floor, how many boys were there? [2 MARKS]

Q. The set of all integers is a subset of the set of all rational numbers.

1. True
2. False

Q. Write the following in decimal form and say what kind of decimal expansions has:
$\frac{36}{100}$

Q.

Question 4 (ii)
State whether the following statement is true or false. Give reasons for your answer.

Every integer is a whole number.