Numbers

Q. 16.Find the remainder when 15! Is divided by 17

Q. Name the property of multiplication illustrated by the following statement:
$\frac{-11}{13}\times \frac{-17}{5}=\frac{-17}{5}\times \frac{-11}{13}$

1. Associative property
2. Distributive property
3. Property of addition identity
4. Commutative property

Q.

Every integer is a whole number.

1. True
2. False

Q.

Which of the following pairs is not the additive inverse of each other?

1. $\frac{-29}{4},7\frac{1}{4}$
2. $\frac{-2}{8},\frac{1}{4}$
3. $\frac{-7}{4},\frac{7}{4}$
4. $7\frac{1}{4},-4\frac{1}{7}$

Q. When we multiply the additive inverse of $\frac{15}{2}$ by the reciprocal of 4$\frac{1}{6}$, we get the number _______.

A. -$\frac{1}{2}$

B. 1$\frac{4}{5}$

C. -1$\frac{4}{5}$

D. 1$\frac{5}{4}$

Q.

Question 67
For all rational numbers x and y, $x\times y=y\times x$

Q. Simplify the expression: $\frac{33}{10}\times \frac{5}{3}-\frac{2}{3}\times \frac{33}{10}$

1. 5.5
2. 2.2
3. 1.1
4. 3.3

Q. How many three-digit positive integers, with digits $x,y$ and $z$ in the hundred's, ten's and unit's place respectively exist such that $x<y$, $z<y$ and $x\ne y$, z < y and $x\ne 0$?

1. $245$
2. $320$
3. $285$
4. $240$

Q.

Which of the following is not true?

A. $\frac{1}{5}+\frac{2}{7}=\frac{3}{21}+\frac{1}{5}$

B. $\frac{1}{5}\times \frac{2}{7}=\frac{2}{7}\times \frac{1}{5}$

C. $\frac{1}{5}-\frac{2}{7}=\frac{2}{7}-\frac{1}{5}$

D. $\frac{1}{5}+\left(\frac{-2}{7}\right)=\left(\frac{-2}{7}\right)+\frac{1}{5}$

Q. Find the additive inverse of: [$\frac{7}{2}$−$\frac{28}{4}$]×$\frac{2}{7}$+[$\frac{55}{25}$+$\frac{44}{5}$]×$\frac{5}{11}$

Q. If the additive inverse of the expression [−$\frac{3}{5}$+(−$\frac{1}{4}$)+x+($\frac{7}{15}$)] is −$\frac{7}{60}$, then find the value of x.

A. $\frac{4}{15}$

B. $\frac{15}{4}$

C. -$\frac{15}{4}$

D. -$\frac{4}{15}$

Q.

The ___ property states that we can add rational numbers in any order.

1. commutative

2. associative
3. closure
4. distributive

Q.

Which of the following represents a circle of triangular numbers?

1. 

2. 

3. 

4. 

Q. Burst the bubble if the rational number is terminating.

1. $\frac{1}{15}$
2. $\frac{1}{7}$
3. $\frac{1}{5}$
4. $\frac{1}{3}$
5. $\frac{2}{20}$
6. $\frac{1}{2}$
7. $\frac{6}{9}$
8. $\frac{1}{10}$
9. $\frac{3}{40}$

Q.

Which of the following represents a circle of triangular numbers?

1. 

2. 

3. 

4. 

Q. The order in which we add rational numbers does not affect its sum. This is known as property.

1. associative
2. commutative
3. distributive
4. closure

Q. The decimal expansion of the square root of 2 is_____.

1. non terminating, non repeating
2. terminating, repeating
3. non terminating, repeating
4. finite decimal number

Q. What is the additive identity for a number x?

1. -x
2. 0
3. 1
4. x

Q. If the additive inverse of the expression [−$\frac{3}{5}$+(−$\frac{1}{4}$)+x+($\frac{7}{15}$)] is −$\frac{7}{60}$, then find the value of x.

Q. The order in which we add rational numbers does not affect its sum. This is known as property.

1. associative
2. commutative
3. distributive
4. closure

Q. Simplify the expression: $\frac{33}{10}\times \frac{5}{3}-\frac{2}{3}\times \frac{33}{10}$

1. 5.5
2. 2.2
3. 1.1
4. 3.3

Q. Name the property used in each of the following:​

i. -$\frac{2}{3}$× 1 = 1 × −$\frac{2}{3}$ = −$\frac{2}{3}$

ii. −$\frac{2}{3}$ × ($\frac{4}{5}$ × $\frac{15}{12}$ ) = (−$\frac{2}{3}$ × $\frac{4}{5}$ ) × $\frac{15}{12}$

Q. The property $x\times (y+z)=x\times y+x\times z$ is known as ___________.

1. closure property
2. commutative property
3. distributive property
4. associative property

Q. Write the expansion of 2345?

1. 5000 + 400 + 30 + 2
2. 200+ 30 + 4 +5
3. 20000 + 100 + 40 + 5
4. 2000 + 300 + 40 + 5

Q.

$(-4)\times (-3)\times (-1)=12$

1. True
2. False

Q. Rational numbers are commutative under

1. Addition
2. Subtraction
3. Division
4. Multiplication

Q. Write the expansion of 2345?

1. 5000 + 400 + 30 + 2
2. 200+ 30 + 4 +5
3. 20000 + 100 + 40 + 5
4. 2000 + 300 + 40 + 5

Q. Name the property of multiplication illustrated by the following statement:
-11/13 × -17/5 = -17/5 × -11/13

1. Commutative property
2. Associative property
3. Property of addition identity
4. Distributive property

Q.

Which property is illustrated by the following statement?

150 × (-30 + 63) = 150 × -30 + 150 × 63

1. Associative property of integers
2. Commutative property of integers
3. Distributive property of addition over multiplication
4. Distributive property of multiplication over addition

Q.

Factorize the given expression:

$9(2x-3y{)}^2-12(2x-3y\left)\right(2x+3y)+4(2x+3y{)}^2$

1. $(2x-15y{)}^3$

2. $(2x+15y{)}^2$

3. $(2x+15y{)}^3$

4. $(2x-15y{)}^2$