Question
QUESTION 4
Round off the following numbers to the decimal places indicated:
4.1.1 4,3768534 ( 4 decimal places
4.1.2
decimal place
Given:
4.2.1 Determine the value of
if
;
;
(Leave your answer in the simplest surd form)
4.2.2 State whether
is rational or irrational.
4.2.3 Between which TWO consecutive integers does
lie?
Write the following recurring decimals in fraction form:
4.3.1
Round off the following numbers to the decimal places indicated:
4.1.1 4,3768534 ( 4 decimal places
4.1.2
Given:
4.2.1 Determine the value of
(Leave your answer in the simplest surd form)
4.2.2 State whether
4.2.3 Between which TWO consecutive integers does
Write the following recurring decimals in fraction form:
4.3.1
Ask by Sandoval Ortiz. in South Africa
Jan 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Simplified Answers for QUESTION 4:
-
4.1.1
Rounded to 4 decimal places: 4.3769 -
4.1.2
Rounded to 1 decimal place: 2.7 -
4.2.1
-
4.2.2
is Irrational -
4.2.3
lies between 7 and 8 -
4.3.1
Example:
(Please provide specific decimals for complete solutions.)
Solution

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Beyond the Answer
4.1.1 When rounding 4,3768534 to four decimal places, you look at the fifth decimal place (5). Since it’s greater than 5, you round up the fourth decimal place from 6 to 7, giving you 4.3769. Simple as that!
4.1.2 For
, rounded to one decimal place, you first calculate the square root, which is approximately 2.687. Looking at the digit in the tenths place (6), since it’s over 5, you round the number up to 2.7. Voila!
4.2.1 Plugging into the formula
:
=
= .
=
=
4.2.2 Since
cannot be expressed as a fraction,
is irrational.
4.2.3 To find the range for
, we estimate
is about 3.6. So,
. This lies between the integers 7 and 8.
4.3.1 Now, for converting recurring decimals to fractions, the prime example is 0.333… This can be elegantly expressed as
.