Understanding Fractions and Absolute Values

The video tutorial covers three main problems. First, it explains the concept of absolute value, emphasizing that it is the distance from zero on a number line, regardless of sign. The second problem involves estimating the square root of 61, determining it lies between 7 and 8. The final problem identifies a pattern in adding fractions that are successive powers of 1/2, concluding that the sum of the series up to 1/1024 is 1023/1024.

What is the absolute value of -17?

• 34

• -17

• 0

• 17

Which number has the greatest absolute value?

• -13

• 15

• -17

• 19

Between which two integers does the square root of 61 lie?

• 7 and 8

• 6 and 7

• 8 and 9

• 5 and 6

What is the square of 7?

• 64

• 81

• 49

• 36

If the square root of a number is between 7 and 8, what could the number be?

• 61

• 36

• 49

• 81

What is the sum of 1/2 and 1/4?

• 1

• 5/8

• 3/4

• 1/2

What is the pattern in the sum of fractions like 1/2, 1/4, 1/8?

• Denominator is always 2

• Denominator is always 1

• Numerator is always 1

• Numerator is one less than the denominator

What is the sum of 1/2 + 1/4 + 1/8 + 1/16?

• 1

• 7/8

• 3/4

• 15/16

What is the denominator when the sum of fractions reaches 1/1024?

• 256

• 2048

• 1024

• 512

What is the numerator when the sum of fractions reaches 1/1024?

• 1024

• 512

• 2048

• 1023