Page 129 - Start Up Mathematics_6

Fill in the Blanks

1. To subtract an integer from another integer, it is enough to add the ____________ of the
integer that is being subtracted.

2. The sum of an integer and its additive inverse is always ____________.

3. The difference between the successor and predecessor of any integer is ____________.
4. An integer which is neither positive nor negative is ____________.

5. Absolute value of an integer is ____________ to the given integer.
Answer in One Word or a Line

1. What is the predecessor of –11?

2. What is the additive inverse of 5?
3. Name an integer whose multiplicative inverse does not exist.

4. Name an integer whose multiplicative inverse is the integer itself.

5. Is it possible to write the smallest negative integer?
6. Which is greater –7 or –10?

let’s evaluate

1. Represent –11 and 13 on a number line.
2. Add –4 and –6 on a number line.

3. Subtract –5 from –8 on a number line.

4. Find the value of –20 + (–23) + 12.
5. Find the value of ||–13| – |15||.

6. Evaluate 15 – |–17|.
7. Write the smallest as well as the largest of the negative integers which are greater than –12.

8. Write the smallest and the largest of the negative integers less than –19.

9. Arrange the following integers in an increasing order of their moduli (absolute value):
–23, 56, 0, –129 and –89.
10. The sum of two integers, one of whom is –19 is –56. Find the other integer.

Thinking Skills

1. Which is smaller –1,000 or –1,001? How can you explain this using a number line?

2. What is the absolute value of an integer? Which is greater |–5 + 4| or (|–5| + |4|)?
3. Find the sum of all integers from –1,000 to 1,000.

4. Find two positive integers x and y such that their product is 1,00,000 and x and y does not
contain 0 as a digit.
5. Find the product of all integers from –1,000 to 1,000.

121