1. How many decimal places will there be in the product of 8.09 and 2.6?
To determine the number of decimal places in the product, we count the decimal places in each factor:
- 8.09 has 2 decimal places.
- 2.6 has 1 decimal place.
When multiplying, we add the decimal places: 2 + 1 = 3 decimal places.
Answer: 3 decimal places
2. Estimate the product of 252.8 x 63.4 by rounding each number to the nearest 10.
- Round 252.8 to the nearest 10: 250
- Round 63.4 to the nearest 10: 60
Now, calculate the estimated product: 250 × 60 = 15,000.
Answer: 15,000
3. Which expression is equivalent to 0.09 x 27.3?
To simplify 0.09 x 27.3, we can express 0.09 as a fraction:
0.09 = 9/100, thus:
0.09 x 27.3 = (9/100) x 27.3 = 9 x 27.3 / 100.
Depending on the options provided, the equivalent expression may vary, but the simplified multiplication or fraction form would be: Answer: 9 x 27.3 / 100 (or simply 0.09 x 27.3)
4. Noah earns $9.65 per hour. How much will he earn next week if he works 18 hours?
To find Noah's weekly earnings, multiply his hourly wage by the number of hours he works:
9.65 x 18 = $173.70.
Answer: $173.70
5. Is the decimal point placed correctly in the product? If not, rewrite the product correctly. 0.06 x 54.3= 32.58.
Let's calculate the product correctly:
0.06 x 54.3 = 3.258.
The original statement claims that 0.06 x 54.3 equals 32.58, which is incorrect. The correct placement of the decimal point in the product is:
Answer: No, the correct product is 3.258.