10 Easy Exerci Very Short Answer Type Questions in Mathematics

Oct 13, 2025 by recoveryshake.com 147 views

10 Easy Exerci Very Short Answer Type Questions in Mathematics

1. Express each of the following rational numbers in decimal form

(i) 8/45

To express the rational number 8/45 in decimal form, we need to divide the numerator (8) by the denominator (45).

Step 1: Divide 8 by 45

When we divide 8 by 45, we get a quotient of 0 and a remainder of 8. This means that 8 is less than 45, so we need to add a decimal point and add more zeros to the denominator.

Step 2: Add a decimal point and add more zeros to the denominator

Let's add a decimal point after 8 and add two zeros to the denominator: 8.00 ÷ 45.00.

Step 3: Divide 8.00 by 45.00

When we divide 8.00 by 45.00, we get a quotient of 0.17778... (repeating).

Step 4: Simplify the decimal

Since the quotient is repeating, we can simplify the decimal by writing it as 0.17778... (repeating).

Therefore, the decimal form of the rational number 8/45 is 0.17778... (repeating).

(ii) 7/9

To express the rational number 7/9 in decimal form, we need to divide the numerator (7) by the denominator (9).

Step 1: Divide 7 by 9

When we divide 7 by 9, we get a quotient of 0 and a remainder of 7. This means that 7 is less than 9, so we need to add a decimal point and add more zeros to the denominator.

Step 2: Add a decimal point and add more zeros to the denominator

Let's add a decimal point after 7 and add two zeros to the denominator: 7.00 ÷ 9.00.

Step 3: Divide 7.00 by 9.00

When we divide 7.00 by 9.00, we get a quotient of 0.77777... (repeating).

Step 4: Simplify the decimal

Since the quotient is repeating, we can simplify the decimal by writing it as 0.77777... (repeating).

Therefore, the decimal form of the rational number 7/9 is 0.77777... (repeating).

(iii) 3/11

To express the rational number 3/11 in decimal form, we need to divide the numerator (3) by the denominator (11).

Step 1: Divide 3 by 11

When we divide 3 by 11, we get a quotient of 0 and a remainder of 3. This means that 3 is less than 11, so we need to add a decimal point and add more zeros to the denominator.

Step 2: Add a decimal point and add more zeros to the denominator

Let's add a decimal point after 3 and add two zeros to the denominator: 3.00 ÷ 11.00.

Step 3: Divide 3.00 by 11.00

When we divide 3.00 by 11.00, we get a quotient of 0.272727... (repeating).

Step 4: Simplify the decimal

Since the quotient is repeating, we can simplify the decimal by writing it as 0.272727... (repeating).

Therefore, the decimal form of the rational number 3/11 is 0.272727... (repeating).

(iv) 5/8

To express the rational number 5/8 in decimal form, we need to divide the numerator (5) by the denominator (8).

Step 1: Divide 5 by 8

When we divide 5 by 8, we get a quotient of 0 and a remainder of 5. This means that 5 is less than 8, so we need to add a decimal point and add more zeros to the denominator.

Step 2: Add a decimal point and add more zeros to the denominator

Let's add a decimal point after 5 and add two zeros to the denominator: 5.00 ÷ 8.00.

Step 3: Divide 5.00 by 8.00

When we divide 5.00 by 8.00, we get a quotient of 0.625.

Step 4: Simplify the decimal

Since the quotient is not repeating, we can simplify the decimal by writing it as 0.625.

Therefore, the decimal form of the rational number 5/8 is 0.625.

(v) 2/7

To express the rational number 2/7 in decimal form, we need to divide the numerator (2) by the denominator (7).

Step 1: Divide 2 by 7

When we divide 2 by 7, we get a quotient of 0 and a remainder of 2. This means that 2 is less than 7, so we need to add a decimal point and add more zeros to the denominator.

Step 2: Add a decimal point and add more zeros to the denominator

Let's add a decimal point after 2 and add two zeros to the denominator: 2.00 ÷ 7.00.

Step 3: Divide 2.00 by 7.00

When we divide 2.00 by 7.00, we get a quotient of 0.285714... (repeating).

Step 4: Simplify the decimal

Since the quotient is repeating, we can simplify the decimal by writing it as 0.285714... (repeating).

Therefore, the decimal form of the rational number 2/7 is 0.285714... (repeating).

(vi) 9/16

To express the rational number 9/16 in decimal form, we need to divide the numerator (9) by the denominator (16).

Step 1: Divide 9 by 16

When we divide 9 by 16, we get a quotient of 0 and a remainder of 9. This means that 9 is less than 16, so we need to add a decimal point and add more zeros to the denominator.

Step 2: Add a decimal point and add more zeros to the denominator

Let's add a decimal point after 9 and add two zeros to the denominator: 9.00 ÷ 16.00.

Step 3: Divide 9.00 by 16.00

When we divide 9.00 by 16.00, we get a quotient of 0.5625.

Step 4: Simplify the decimal

Since the quotient is not repeating, we can simplify the decimal by writing it as 0.5625.

Therefore, the decimal form of the rational number 9/16 is 0.5625.

(vii) 1/3

To express the rational number 1/3 in decimal form, we need to divide the numerator (1) by the denominator (3).

Step 1: Divide 1 by 3

When we divide 1 by 3, we get a quotient of 0 and a remainder of 1. This means that 1 is less than 3, so we need to add a decimal point and add more zeros to the denominator.

Step 2: Add a decimal point and add more zeros to the denominator

Let's add a decimal point after 1 and add two zeros to the denominator: 1.00 ÷ 3.00.

Step 3: Divide 1.00 by 3.00

When we divide 1.00 by 3.00, we get a quotient of 0.33333... (repeating).

Step 4: Simplify the decimal

Since the quotient is repeating, we can simplify the decimal by writing it as 0.33333... (repeating).

Therefore, the decimal form of the rational number 1/3 is 0.33333... (repeating).

(viii) 4/5

To express the rational number 4/5 in decimal form, we need to divide the numerator (4) by the denominator (5).

Step 1: Divide 4 by 5

When we divide 4 by 5, we get a quotient of 0 and a remainder of 4. This means that 4 is less than 5, so we need to add a decimal point and add more zeros to the denominator.

Step 2: Add a decimal point and add more zeros to the denominator

Let's add a decimal point after 4 and add two zeros to the denominator: 4.00 ÷ 5.00.

Step 3: Divide 4.00 by 5.00

When we divide 4.00 by 5.00, we get a quotient of 0.8.

Step 4: Simplify the decimal

Since the quotient is not repeating, we can simplify the decimal by writing it as 0.8.

Therefore, the decimal form of the rational number 4/5 is 0.8.

(ix) 6/7

To express the rational number 6/7 in decimal form, we need to divide the numerator (6) by the denominator (7).

Step 1: Divide 6 by 7

When we divide 6 by 7, we get a quotient of 0 and a remainder of 6. This means that 6 is less than
10 Easy Exerci Very Short Answer Type Questions in Mathematics

2. Rational Numbers and Decimal Form

(ix) 6/7

To express the rational number 6/7 in decimal form, we need to divide the numerator (6) by the denominator (7).

Step 1: Divide 6 by 7

When we divide 6 by 7, we get a quotient of 0 and a remainder of 6. This means that 6 is less than 7, so we need to add a decimal point and add more zeros to the denominator.

Step 2: Add a decimal point and add more zeros to the denominator

Let's add a decimal point after 6 and add two zeros to the denominator: 6.00 ÷ 7.00.

Step 3: Divide 6.00 by 7.00

When we divide 6.00 by 7.00, we get a quotient of 0.857142... (repeating).

Step 4: Simplify the decimal

Since the quotient is repeating, we can simplify the decimal by writing it as 0.857142... (repeating).

Therefore, the decimal form of the rational number 6/7 is 0.857142... (repeating).

(x) 3/8

To express the rational number 3/8 in decimal form, we need to divide the numerator (3) by the denominator (8).

Step 1: Divide 3 by 8

When we divide 3 by 8, we get a quotient of 0 and a remainder of 3. This means that 3 is less than 8, so we need to add a decimal point and add more zeros to the denominator.

Step 2: Add a decimal point and add more zeros to the denominator

Let's add a decimal point after 3 and add two zeros to the denominator: 3.00 ÷ 8.00.

Step 3: Divide 3.00 by 8.00

When we divide 3.00 by 8.00, we get a quotient of 0.375.

Step 4: Simplify the decimal

Since the quotient is not repeating, we can simplify the decimal by writing it as 0.375.

Therefore, the decimal form of the rational number 3/8 is 0.375.

Q&A

Q: What is the decimal form of the rational number 2/3?

A: To express the rational number 2/3 in decimal form, we need to divide the numerator (2) by the denominator (3). The decimal form of the rational number 2/3 is 0.66666... (repeating).

Q: What is the decimal form of the rational number 5/9?

A: To express the rational number 5/9 in decimal form, we need to divide the numerator (5) by the denominator (9). The decimal form of the rational number 5/9 is 0.55555... (repeating).

Q: What is the decimal form of the rational number 7/11?

A: To express the rational number 7/11 in decimal form, we need to divide the numerator (7) by the denominator (11). The decimal form of the rational number 7/11 is 0.636363... (repeating).

Q: What is the decimal form of the rational number 9/16?

A: To express the rational number 9/16 in decimal form, we need to divide the numerator (9) by the denominator (16). The decimal form of the rational number 9/16 is 0.5625.

Q: What is the decimal form of the rational number 1/2?

A: To express the rational number 1/2 in decimal form, we need to divide the numerator (1) by the denominator (2). The decimal form of the rational number 1/2 is 0.5.

Q: What is the decimal form of the rational number 3/4?

A: To express the rational number 3/4 in decimal form, we need to divide the numerator (3) by the denominator (4). The decimal form of the rational number 3/4 is 0.75.

Q: What is the decimal form of the rational number 2/5?

A: To express the rational number 2/5 in decimal form, we need to divide the numerator (2) by the denominator (5). The decimal form of the rational number 2/5 is 0.4.

Q: What is the decimal form of the rational number 4/9?

A: To express the rational number 4/9 in decimal form, we need to divide the numerator (4) by the denominator (9). The decimal form of the rational number 4/9 is 0.44444... (repeating).

Q: What is the decimal form of the rational number 6/11?

A: To express the rational number 6/11 in decimal form, we need to divide the numerator (6) by the denominator (11). The decimal form of the rational number 6/11 is 0.545454... (repeating).

Q: What is the decimal form of the rational number 8/15?

A: To express the rational number 8/15 in decimal form, we need to divide the numerator (8) by the denominator (15). The decimal form of the rational number 8/15 is 0.53333... (repeating).

Q: What is the decimal form of the rational number 9/13?

A: To express the rational number 9/13 in decimal form, we need to divide the numerator (9) by the denominator (13). The decimal form of the rational number 9/13 is 0.692307... (repeating).

Q: What is the decimal form of the rational number 10/17?

A: To express the rational number 10/17 in decimal form, we need to divide the numerator (10) by the denominator (17). The decimal form of the rational number 10/17 is 0.588235... (repeating).

Q: What is the decimal form of the rational number 11/18?

A: To express the rational number 11/18 in decimal form, we need to divide the numerator (11) by the denominator (18). The decimal form of the rational number 11/18 is 0.611111... (repeating).

Q: What is the decimal form of the rational number 12/19?

A: To express the rational number 12/19 in decimal form, we need to divide the numerator (12) by the denominator (19). The decimal form of the rational number 12/19 is 0.631578... (repeating).

Q: What is the decimal form of the rational number 13/20?

A: To express the rational number 13/20 in decimal form, we need to divide the numerator (13) by the denominator (20). The decimal form of the rational number 13/20 is 0.65.

Q: What is the decimal form of the rational number 14/21?

A: To express the rational number 14/21 in decimal form, we need to divide the numerator (14) by the denominator (21). The decimal form of the rational number 14/21 is 0.666666... (repeating).

Q: What is the decimal form of the rational number 15/22?

A: To express the rational number 15/22 in decimal form, we need to divide the numerator (15) by the denominator (22). The decimal form of the rational number 15/22 is 0.681818... (repeating).

Q: What is the decimal form of the rational number 16/23?

A: To express the rational number 16/23 in decimal form, we need to divide the numerator (16) by the denominator (23). The decimal form of the rational number 16/23 is 0.695652... (repeating).

Q: What is the decimal form of the rational number 17/24?

A: To express the rational number 17/24 in decimal form, we need to divide the numerator (17) by the denominator (24). The decimal form of the rational number 17/24 is 0.708333... (repeating).

Q: What is the decimal form of the rational number 18/25?

A: To express the rational number 18/25 in decimal form, we need to divide the numerator (18) by the denominator (25). The decimal form of the rational number 18/25 is 0.72.

Q: What is the decimal form of the rational number 19/26?

A: To express the rational number 19/26 in decimal form, we need to divide the numerator (19) by the denominator (26). The decimal form of the rational number 19/26 is 0.730769... (repeating).

Q: What is the decimal form of the rational number 20/27?

A: To express the rational number 20/27 in decimal form, we need to divide the numerator (20) by the denominator (27). The decimal form of the rational number 20/27 is 0.740740... (repeating).

Q: What is the decimal form of the rational number 21/28?

A: To express the rational number 21/28 in