Applying Place Value Understanding

Front

What is place value?

Back

Place value is the value of a digit depending on its position in a number. For example, in the number 345, the 3 is in the hundreds place, so it represents 300.

Front

What does rounding mean?

Back

Rounding is the process of adjusting the digits of a number to make it simpler while keeping its value close to what it was. For example, rounding 836.193 to the nearest tenth gives 836.2.

Front

How do you round a decimal to the nearest tenth?

Back

To round a decimal to the nearest tenth, look at the hundredths place. If it is 5 or more, round up. If it is less than 5, round down.

Front

What is the result of multiplying a decimal by 1,000?

Back

Multiplying a decimal by 1,000 shifts the decimal point three places to the right. For example, 0.251 x 1,000 = 251.

Front

What is the value of 10^6?

Back

10^6 equals 1,000,000. It represents the number 1 followed by six zeros.

Front

Is 100,000 equal to 10^6?

Back

False. 100,000 is equal to 10^5.

Front

What does dividing by 1,000 do to a number?

Back

Dividing by 1,000 shifts the decimal point three places to the left. For example, 625 ÷ 1,000 = 0.625.

Front

What is scientific notation?

Back

Scientific notation is a way to express very large or very small numbers using powers of ten. For example, 3.5 x 10^3 means 3.5 multiplied by 1,000.

Front

What is the value of 3.5 x 10^3?

Back

3.5 x 10^3 equals 3,500.

Front

What is the difference between whole numbers and decimals?

Back

Whole numbers are numbers without fractions or decimals (e.g., 1, 2, 3), while decimals represent parts of a whole (e.g., 0.5, 1.2).