Annette

# In 14,673 ; the place value of 6 is ______.

6 holds the hundreds place value in this long number. If you got this right, then you're off to a good start!

# What is the smallest two-digit number?

10 is technically the smallest two-digit number. 00 is not a number at all!

# In 14,673 ; the face value of 4 is _______.

Did you remember the difference between place value and face value? In this number, 4 holds the face value of 4.

# What is the largest number of 6 digits?

999,999 is the largest number with six digits. Did you know that there are 900,000 numbers with six digits?

# The difference between the smallest number with five digits and the largest number with four digits is _______.

The smallest number with 5 digits is 10,000, and the largest number with 4 digits is 9,999. There's only a difference of 1 between them.

# If a number is an even number or has zero at its units place, it is always divisible by what?

An even number is always divisible by 2. An odd number is not divisible by 2.

# A number is divisible by five if its units digit is ______.

A number is divisible by 5 if its units digit is 0 or 5. For instance, 5, 10, 15, 20, 25, etc.

# What is the square root of 0.0081?

The square root of 0.0081 is 0.09. When you multiply 0.09 by itself you get 0.0081.

# What is the cube root of 1331?

The cube root of 1331 is 11. That means 1331 = 11 x 11 x 11.

# 0 and all natural numbers are called _____ numbers.

0 and all natural numbers are called whole numbers. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

# The wage of ten workers for a six-day week is \$18,000. What is the wage for four workers for one day?

When you divide \$18,000 by 10 and then by 6, you see that each employee makes \$300 a day. Then multiply this number by 4 for the answer.

# 142 × 16 =

142 × 16 = 2,272. Did you cheat and use your calculator on that one?

# What is 1 to the power of 0?

1 to the power of 0 is equal to 1. This is per the Zero Power Rule.

# 5505 / 5 = ______.

5505 / 5 = 1,101. It's time to brush up on your long division!

# 10,003 – 999 = ______.

You were sure to use your pencil and paper for this one. 10,003 – 999 = 9,004.

# The monthly income of A is 10% more than B, and the income of B is 20% more than C. If the monthly income of C is \$3,000 then what is the sum of the monthly incomes of A, B and C?

The monthly income of A would be \$3,960, B would be \$3,600, and C is \$3,000. That makes a sum total of \$10,560.

# \$3,000 is spent on the floor repair of a 30×16-foot hall. What is the repair cost per square foot?

Multiply 30 x 16 to get the square footage of 480. Now divide \$3,000 by 480 to get your answer.

# 45% of 640 + 64% of 450 = what percentage of 1,440?

The first two numbers are both 288. When you add these together you get 576. This number is 40% of 1,440.

# 6,000 ÷ 12 ÷ 8 = ______.

6,000 ÷ 12 ÷ 8 = 62.5. Doing division by hand is not for the faint of heart.

# 879.90 + 567.3 - 123.4 = ______.

879.90 + 567.3 - 123.4 = 1,323.8. If you got this right, you;'re seriously killing it right now.

# Which is the wrong number in this series: 3, 4, 9, 33, 136, 685?

Warning - your head is about to explode. %0D(3 x 1) +1 = 3 + 1 = 4 %0D(4 x 2) + 2 = 8 + 2 = 10 %0D(10 x 3) + 3 = 30 + 3 = 33 %0D(33 x 4) + 4 = 132 + 4 = 136 %0D(136 x 5) + 5 = 680 + 5 = 685

# What is the median in 13, 16, 12, 14, 19, 12, 14, 13, 14?

The median in this set of numbers is 14. The median is the middle-most value.

# What is the mode in 13, 16, 12, 14, 19, 12, 14, 13, 14?

14 is also the mode in this set of numbers. It's the number that occurs the most times.

# Simplify {45 ÷ (-9)} ÷ {(-30) ÷ 6}.

When you work out each problem separately, you see they're both worth -5. When you divide -5 by -5, you come to 1.

# What should be added to 5 and 3/7 to get 13?

When you add 53/7 to 3/7, you get 8. Add 8 to 5 and you get 13.

# What is the area of a square that is 6 2/3 meters long?

44 4/9 square meters is the answer. A good way to eyeball this is to multiply 6.66 x 6.66 to get 44.3556.

# What is 0 x 10 to the power of 2?

Any number that is multiplied by 0 is 0. It's like magic.

# What is -6a - -4a?

-6a - -4a = 2a. Subtracting a negative is the same as adding a positive.

# x - 3 = 6. What is x?

That was easy enough. It's because 9 - 3 = 6.

# The ratio between two numbers is 4:5. These numbers add up to 135. What are they?

The easiest way to do this is to make sure that the ratio is right. 60 / 4 = 15. Also, 75 / 5 = 15.

# A car can drive 522 miles on 36 gallons of gas. How far can it drive on 14 gallons?

When you divide 522 by 36, you see that the car gets 14.5 miles to the gallon. 14.5 x 14 = 203.

# Which of these are integer solutions of the inequality |x| < 3?

With all three of these solutions, you have numbers that are less than 3. 3 cannot be less than 3.

# What is the opposite of -3?

3 is the opposite of -3. The opposite of a negative number is its positive.

# Which number has the greatest absolute value?

Of these numbers, -100 has the greatest absolute value. 0 has the least absolute value.

# –10 – (–6) = ______.

–10 – (–6) = -4. Remember that when you're subtracting a negative number, you're actually adding a positive number!

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