Problem Analysis:
The task is to solve a set of true/false questions and, if false, provide the correct answer. The questions cover basic mathematical concepts such as even numbers, arithmetic operations, rounding, multiples, and fractions.
Solution:
####
Section A: Complete on the paper
Questions 1. True or false. If false, write the correct answer.
---
a) \( 7842 \) is an even number.
-
Step 1: Determine if the number is even.
- A number is even if it is divisible by 2.
- The last digit of \( 7842 \) is \( 2 \), which is divisible by 2.
-
Conclusion: The statement is
true.
Answer: True
---
b) \( 56 + 35 - 10 = 80 \)
-
Step 1: Perform the addition and subtraction step-by-step.
- First, add \( 56 + 35 \):
\[
56 + 35 = 91
\]
- Next, subtract \( 10 \) from \( 91 \):
\[
91 - 10 = 81
\]
-
Step 2: Compare the result with the given equation.
- The result is \( 81 \), not \( 80 \).
-
Conclusion: The statement is
false.
Correct Answer: \( 56 + 35 - 10 = 81 \)
---
c) \( 954 \) rounded off to the nearest 10 is \( 1000 \).
-
Step 1: Understand rounding rules.
- To round to the nearest 10, look at the digit in the ones place.
- If the ones digit is 5 or greater, round up; otherwise, round down.
-
Step 2: Analyze \( 954 \).
- The ones digit is \( 4 \), which is less than 5.
- Therefore, \( 954 \) rounds down to \( 950 \).
-
Conclusion: The statement is
false.
Correct Answer: \( 954 \) rounded off to the nearest 10 is \( 950 \).
---
d) The multiples of 7 between 14 and 35 are: \( 21 \); \( 28 \).
-
Step 1: Identify the multiples of 7 between 14 and 35.
- Multiples of 7 are obtained by multiplying 7 by integers.
- Start with \( 7 \times 2 = 14 \) and continue until \( 7 \times 5 = 35 \).
- The multiples of 7 between 14 and 35 are: \( 14, 21, 28, 35 \).
-
Step 2: Check the given statement.
- The statement only lists \( 21 \) and \( 28 \), but it misses \( 14 \) and \( 35 \).
-
Conclusion: The statement is
false.
Correct Answer: The multiples of 7 between 14 and 35 are: \( 14, 21, 28, 35 \).
---
e) \( 30 + \frac{1}{3} \text{ of } 15 = 30 \)
-
Step 1: Calculate \( \frac{1}{3} \) of \( 15 \).
- \( \frac{1}{3} \times 15 = 5 \).
-
Step 2: Add the result to 30.
- \( 30 + 5 = 35 \).
-
Step 3: Compare the result with the given equation.
- The result is \( 35 \), not \( 30 \).
-
Conclusion: The statement is
false.
Correct Answer: \( 30 + \frac{1}{3} \text{ of } 15 = 35 \).
---
Final Answers:
\[
\boxed{
\begin{array}{ll}
\text{a) True} & \\
\text{b) False; Correct Answer: } 56 + 35 - 10 = 81 & \\
\text{c) False; Correct Answer: } 954 \text{ rounded off to the nearest 10 is } 950 & \\
\text{d) False; Correct Answer: The multiples of 7 between 14 and 35 are: } 14, 21, 28, 35 & \\
\text{e) False; Correct Answer: } 30 + \frac{1}{3} \text{ of } 15 = 35 &
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of math test 4.
