1.
How do you write 306,007 in expanded form?
Correct Answer
B. 300,000 + 6,000 + 7
Explanation
The correct answer is the expanded form of the number 306,007, which is 300,000 + 6,000 + 7. This means that the number is composed of 300,000 hundreds, 6,000 tens, and 7 units.
2.
Which number is a common denominator for 1/6 and 1/2?
Correct Answer
D. 6
Explanation
A common denominator is a number that can be divided evenly by the denominators of both fractions. In this case, the denominators are 6 and 2. The number 6 can be divided evenly by both 6 and 2, making it a common denominator for 1/6 and 1/2.
3.
What is the best estimate for 56 + 45?
Correct Answer
C. 110
Explanation
The best estimate for 56 + 45 is 110 because when you round 56 to the nearest ten, it becomes 60, and when you round 45 to the nearest ten, it becomes 50. Adding these rounded numbers together gives you 110.
4.
How do you write 10/30 in lowest terms?
Correct Answer
B. 3-Jan
Explanation
To write 10/30 in lowest terms, we need to find the greatest common divisor (GCD) of 10 and 30, which is 10. We then divide both the numerator and denominator by the GCD to simplify the fraction. Dividing 10 by 10 gives us 1, and dividing 30 by 10 gives us 3. Therefore, 10/30 simplifies to 1/3.
5.
How do you write 3/12 in lowest terms?
Correct Answer
D. 4-Jan
Explanation
To write 3/12 in lowest terms, we need to simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3. When we divide 3 by 3, we get 1, and when we divide 12 by 3, we get 4. Therefore, 3/12 simplifies to 1/4. The given answer, 4-Jan, does not provide the correct simplified fraction.
6.
What is 76 rounded to the nearest 10?
Correct Answer
A. 80
Explanation
76 is rounded to the nearest 10 by looking at the digit in the ones place, which is 6. Since 6 is greater than or equal to 5, we round up. Therefore, 76 is rounded to 80.
7.
What is 664 + 128?
Correct Answer
D. 792
Explanation
The correct answer is 792 because when you add 664 and 128 together, you get a sum of 792.
8.
Which is largest?
Correct Answer
D. 3762
Explanation
Among the given numbers, 3762 is the largest. This can be determined by comparing the digits in each place value. In the thousands place, 3762 has the highest digit (3), while the other numbers have a digit of 2 or 1. In the hundreds place, 3762 has a digit of 7, which is higher than the digits in the other numbers. Similarly, in the tens and ones place, 3762 has higher digits compared to the other numbers. Therefore, 3762 is the largest number among the given options.
9.
What is 10 divided by 3, rounded to 2 decimal places?
Correct Answer
A. 3.33
Explanation
When dividing 10 by 3, the result is 3.33333. However, since we need to round the answer to 2 decimal places, we look at the digit in the third decimal place, which is 3. Since 3 is less than 5, we do not round up. Therefore, the rounded answer is 3.33.
10.
What is the remainder when 47 is divided by 9?
Correct Answer
C. 2
Explanation
When 47 is divided by 9, the quotient is 5 and the remainder is 2. This means that 47 can be expressed as 9 multiplied by 5, plus 2. Therefore, the remainder when 47 is divided by 9 is 2.
11.
What is the place value of the 4 in the number 14,376,981?
Correct Answer
B. Millions
Explanation
The place value of a digit in a number determines the value of that digit based on its position. In the number 14,376,981, the digit 4 is in the millions place. This means that the value of the 4 is 4 million.
12.
Which fraction is equivalent to 2/14?
Correct Answer
B. 7-Jan
Explanation
The fraction 2/14 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 2. When we divide 2 by 2, we get 1, and when we divide 14 by 2, we get 7. Therefore, the simplified fraction is 1/7. The answer 7-Jan represents the fraction 1/7, which is equivalent to 2/14.
13.
What is 2222 + 8888?
Correct Answer
A. 11110
Explanation
The correct answer is 11110. To find the sum of 2222 and 8888, we add the digits in each place value starting from the right. In the ones place, 2+8=10, so we write down 0 and carry over 1. In the tens place, 2+8+1=11, so we write down 1 and carry over 1 again. In the hundreds place, 2+8+1=11, so we write down 1 and carry over 1 once more. Finally, in the thousands place, 2+8+1=11, so we write down 1 and carry over 1 for the last time. Thus, the sum is 11110.
14.
What is the best estimate for 46 + 991?
Correct Answer
D. 1000
Explanation
The best estimate for 46 + 991 is 1000 because when estimating, it is common to round the numbers to the nearest ten or hundred. In this case, 46 can be rounded to 50 and 991 can be rounded to 1000. Adding these estimates, we get 50 + 1000 = 1050, which is closest to 1000.
15.
What is the best estimate for 6003 - 2299?
Correct Answer
C. 4000
Explanation
The best estimate for 6003 - 2299 is 4000 because it is the closest option to the actual result. When subtracting 2299 from 6003, the difference is 3704. Among the given options, 4000 is the closest to this difference.