Alright, let's work through these questions step-by-step.
---
### Question 7: Comparing Numbers with [tex]${data-answer}gt;$[/tex] or [tex]${data-answer}lt;$[/tex]
For each pair of numbers, we need to determine which number is larger or smaller and use the correct sign.
#### (a) 3.4 ? 3.04
- 3.4 is greater than 3.04.
- Correct sign: [tex]${data-answer}gt;$[/tex]
#### (b) 4.5 ? 4.55
- 4.5 is less than 4.55.
- Correct sign: [tex]${data-answer}lt;$[/tex]
#### (c) 3.83 ? 3.38
- 3.83 is greater than 3.38.
- Correct sign: [tex]${data-answer}gt;$[/tex]
#### (d) 1.14 ? 1.2
- 1.14 is less than 1.2.
- Correct sign: [tex]${data-answer}lt;$[/tex]
So the correct signs are:
- (a) 3.4 [tex]${data-answer}gt;$[/tex] 3.04
- (b) 4.5 [tex]${data-answer}lt;$[/tex] 4.55
- (c) 3.83 [tex]${data-answer}gt;$[/tex] 3.38
- (d) 1.14 [tex]${data-answer}lt;$[/tex] 1.2
---
### Question 8: Rounding Numbers to the Nearest Whole Number
We need to round each given number to the nearest whole number.
#### (a) 4.6
- When rounding 4.6, we consider the decimal part (6), which is 5 or more.
- So, 4.6 rounds up to 5.
#### (b) 4.55
- When rounding 4.55, we consider the decimal part (55), which is 5 or more.
- So, 4.55 rounds up to 5.
#### (c) 4.45
- When rounding 4.45, we consider the decimal part (45), which is less than 5.
- So, 4.45 rounds down to 4.
So the rounded numbers are:
- (a) 4.6 [tex]$\rightarrow$[/tex] 5
- (b) 4.55 [tex]$\rightarrow$[/tex] 5
- (c) 4.45 [tex]$\rightarrow$[/tex] 4
---
### Question 9: Completing Statements with 4 and .9
We have cards representing the numbers 4 and .9, and we need to complete the following statements:
#### Statement 1: 4.? [tex]${data-answer}gt;$[/tex] ?.9
To make this statement correct, the number on the left should be greater than the number created by combining the right-side numbers.
- 4.9 [tex]${data-answer}gt;$[/tex] ?.9. There is no number 4.? larger than .9 since the context isn’t exact for incomplete integer and decimal number comparison.
Another interpretation could also have been taken from earlier problems but focusing on intent:
- 4.9 fits strongly to make logical comparative sense.
#### Statement 2: 4.? [tex]${data-answer}lt;$[/tex] ?.9
To make this statement correct, the number on the left should be less than the number created by combining the right-side numbers.
- Similarly to logical fit. 4.0 [tex]${data-answer}lt;$[/tex] ?.9.
So the completed statements should be:
- 4.9 [tex]${data-answer}gt;$[/tex] ?. 9
- 4.0 [tex]${data-answer}lt;$[/tex] 4.9
To capture this directly:
- 4.9 [tex]${data-answer}gt;$[/tex] ?. 9
- 4.0 [tex]${data-answer}lt;$[/tex] 4.9
