Let's solve each problem step by step:
---
Problem 1: What is the square root of 64?
The square root of a number is a value that, when multiplied by itself, gives the original number. For 64:
- We know that \( 8 \times 8 = 64 \).
- Therefore, the square root of 64 is \( 8 \).
Answer: \( \boxed{8} \)
---
Problem 2: Autumn had $1,546 in the bank, until she spent $860 of it on Christmas gifts. How much money does she have now?
To find out how much money Autumn has left, we need to subtract the amount she spent from her initial amount:
- Initial amount: $1,546
- Amount spent: $860
Perform the subtraction:
\[
1,546 - 860 = 686
\]
Answer: \( \boxed{686} \)
---
Problem 3: \( 14 \times 12 \times 6 = \)
We need to multiply these numbers step by step:
1. First, multiply \( 14 \) and \( 12 \):
\[
14 \times 12 = 168
\]
2. Next, multiply the result by \( 6 \):
\[
168 \times 6 = 1,008
\]
Answer: \( \boxed{1008} \)
---
Problem 4: \( 0.54642 \div 0.2 = \)
To divide decimals, it's often helpful to eliminate the decimal points by multiplying both numbers by the same power of 10. Here, we can multiply both numbers by 10 to make the divisor a whole number:
1. Multiply \( 0.54642 \) by 10: \( 5.4642 \)
2. Multiply \( 0.2 \) by 10: \( 2 \)
Now, perform the division:
\[
5.4642 \div 2 = 2.7321
\]
Answer: \( \boxed{2.7321} \)
---
Problem 5: Solve for \( x \).
\[
14x + 12x = 52
\]
1. Combine like terms on the left side:
\[
14x + 12x = 26x
\]
So the equation becomes:
\[
26x = 52
\]
2. Solve for \( x \) by dividing both sides by 26:
\[
x = \frac{52}{26} = 2
\]
Answer: \( \boxed{2} \)
---
Final Answers:
1. \( \boxed{8} \)
2. \( \boxed{686} \)
3. \( \boxed{1008} \)
4. \( \boxed{2.7321} \)
5. \( \boxed{2} \)
Parent Tip: Review the logic above to help your child master the concept of 6th grade educational worksheet.
