Test: Rational Numbers - Grade 7 MCQ

1 is the multiplicative identity which means that identity of the number remains intact if it is multiplied by 1

Let we have a rational number having numerator as 2 and denominator as 3. The rational form is given by :

2/3

Reciprocal of a number is such that the numerator becomes denominator and the denominator becomes numerator. So, the reciprocal of the above rational no will be :

3/2

The reciprocal of the reciprocal of a rational number will be again  2/3. Hence, the reciprocal of the reciprocal of a rational number is the number itself.

• Let the numbers be x and y
• xy = -20/9 as given by the question
• now one number is given 4 , let x = 4
• Now we just have to find y
• 4.y = -20/9
• On solving we get , y = -5/9
   

• Number Line Position:

  • -1/2 is equivalent to -0.5.
  • -1/3 is approximately -0.333....

• Comparing the Values:

  • On the number line, -0.5 is positioned to the left of -0.333....
  • Numbers to the left on the number line are smaller (or more negative) than those to the right.

• Conclusion:

  • Since -0.5 is to the left of -0.333..., it means -0.5 < -0.333....
  • Therefore, -1/2 < -1/3.

Reciprocal is the inverse of the number, meaning, the numerator becomes denominator and denominator becomes numerator.so 1/x become x/1

To determine the correct answer, we need to compare 0 with -4/9
The number 0 is greater than any negative number because it is non-negative.
-4/9 is a negative fraction, so 0 is indeed greater than -4/9
Therefore, the correct statement is:
A: 0 > -4/9
This makes option A the correct choice.

When you multiply two rational numbers, say ^a/_b and ^c/_d, the result is ^ac/_bd. Since both _b and _d are non-zero, their product _bd is also non-zero. Thus, ^ac/_bd is a rational number because it can be expressed as the quotient of two integers.

Even if one or both numbers are integers (which are a subset of rational numbers), their product remains within the set of rational numbers. Therefore, the product of two rational numbers is always a rational number.

Let's solve this:

-4/5 = -0.8
-3/10 = -0.3

Since -0.8 is less than -0.3, the correct answer is:

a) -4/5 < -3/10.

Thus, the correct answer is A.

To simplify the given expression:

-4/5 × 3/7 × 15/16 × -14/9

We will multiply the numerators and the denominators separately.

Step 1: Multiply the numerators: (-4) × 3 × 15 × (-14) = 4 × 3 × 15 × 14 = 2520

Step 2: Multiply the denominators: 5 × 7 × 16 × 9 = 5040

Step 3: Now, the expression becomes: 2520 / 5040

Step 4: Simplify the fraction: 2520 ÷ 5040 = 1/2

So, the simplified value of the expression is 1/2.

The sum given is -3/4 + 0.
When adding zero to any number, the value of the number remains unchanged. Therefore,

So, the correct answer is -3/4​, which corresponds to Option B.

• Since both fractions share the same denominator (11), according to the addition or subtraction rule of fractions, we need to subtract the numerators: 17 - 6 = 11 while keeping the denominator fixed.
• The result becomes (17 - 6)/11 = 11/11, which simplifies to 1.
• Thus, the correct answer is 1, which matches option 1.

The given expression is:

When multiplying fractions, multiply the numerators together and the denominators together. So:

So, the correct answer is 1, which corresponds to Option A.

To solve the expression, we start with:

-6/5 + 1

We can rewrite 1 as a fraction:

• -6/5 + 1 = -6/5 + 5/5

Now, we combine the fractions:

• (-6 + 5)/5

This simplifies to:

• -1/5

Thus, the correct answer is option A) -1/5.

The expression given is:

Dividing by a fraction is the same as multiplying by its reciprocal. So,

Thus, the correct answer is B: -1.