place value/powers of tens
Q: When you multiply a whole number by (or simply 10), how many places does the decimal point move, and in which direction?
what is It moves one place to the right.
Q: A "right angle" looks like the corner of a square. How many degrees is a right angle, and what fraction of a full circle (360°) does it represent?
what is It is 90°, which is 1/4 of a full circle.
Q: Which number is greater: 0.5 or 0.05? Explain why using place value.
A: 0.5 is greater. The 5 is in the tenths place (5/10), whereas in 0.05, the 5 is in the hundredths place (5/100).
Q: How many millimeters (mm) are in 1 centimeter (cm)?
A: 10 mm.
2.5+1.4
3.9
Q: What is the value of written as a standard number?
what is 1,000 (a 1 followed by three zeros).
Q: If you have an angle that measures 1/2 of a right angle, how many degrees is it?
A: 45° (90 divided by 2).
Q: Round the number 14.762 to the nearest tenth.
A: 14.8. (The 6 in the hundredths place tells you to round the 7 up
Q: You have a 2-liter bottle of soda. If you want to know how many milliliters (mL) that is, do you multiply or divide by 1,000? What is the total?
A: You multiply by 1,000. The total is 2,000 mL.
5.8-2.15
3.65
Q: If you take the number 450 and divide it by (100), what is the new value?
A: 4.5 (The decimal moves two places to the left).
Q: A straight line is an angle that measures 180°. If you divide a straight line into 3 equal smaller angles, what is the degree measurement of each angle?
A: 60° (180 divided by 3).
Q: When adding 3.4 + 12.85, what is the most important rule you must follow to get the correct answer? What is the sum?
what is You must line up the decimal points. The sum is 16.25.
Q: There are 16 ounces (oz) in 1 pound (lb). If a small dog weighs 10 pounds, how many ounces does it weigh?
A: 160 ounces
0.4x0.6
0.24
Q: In the number 5,550, how many times "greater" is the 5 in the thousands place than the 5 in the hundreds place?
A: 10 times greater. (Each step to the left in place value is a power of 10
Q: Think of a clock face. If the minute hand moves from the 12 to the 4, it has covered 4/12 (or 1/3) of the circle. How many degrees has the minute hand rotated?
what is 120° (Because 1/3 of 360=120
Q: Solve 0.3 x 0.04. (Hint: Count your decimal places!)
what is 0.012. (There is 1 decimal place in 0.3 and 2 in 0.04, so your answer must have 3 decimal places).
Q: A runner completes a 5-kilometer (km) race. Since 1 kilometer equals 1,000 meters, how many meters did they run?
A: 5,000 meters.
12.5 divided by 5
2.5
Q: You have the number 0.07.
Q: You have a large angle that measures 150°. It is split into two smaller angles.
what is 60° (One fifth of 150 is 30, so two fifths is 60).90° (150-60=90).
Q: You have $20.00. You buy a notebook for $4.50 and two pens that cost $1.25 each.
Q: You are filling a large bucket. You know that 4 quarts = 1 gallon and 2 pints = 1 quart.
How many pints are in 1 gallon?
If your bucket holds 3 gallons, how many pints is that?
A:
8 pints (4 quarts
2 pints per quart).
24 pints (8 pints
3 gallons)
4.25x1.2
5.1