Unit 4 Study Guide

Front

What is expanded form in mathematics?

Back

Expanded form is a way of writing numbers that shows the value of each digit. For example, the number 31,072 can be written as 30,000 + 1,000 + 70 + 2.

Front

How do you compare two numbers to find the difference?

Back

To find the difference between two numbers, subtract the smaller number from the larger number. For example, if Mike drove 83,942 miles and Ronald drove 71,757 miles, the difference is 83,942 - 71,757 = 12,185.

Front

What does it mean for a digit to represent ten times its value in a different number?

Back

If a digit represents ten times its value, it means that the place value of that digit has shifted one position to the left. For example, in the number 37,518, the digit 5 represents 50, while in the number 85,137, it represents 500.

Front

What is the value of the digit 5 in the number 37,518?

Back

In the number 37,518, the digit 5 is in the thousands place, so its value is 5,000.

Front

How can you determine a range of values for a number based on given conditions?

Back

To determine a range of values, identify the minimum and maximum limits based on the conditions. For example, if a number is more than 4,070 but less than 4,700, it could be any number between 4,071 and 4,699.

Front

What is the sum of 85/100 and 6/10?

Back

To add 85/100 and 6/10, convert 6/10 to 60/100. Then, 85/100 + 60/100 = 145/100, which equals $1.45.

Front

What is a digit?

Back

A digit is a single numerical symbol used to represent numbers. The digits in the decimal system are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

Front

How do you write a number in standard form?

Back

Standard form is the usual way of writing numbers using digits. For example, the number four thousand seventy-two is written as 4,072.

Front

What is the place value of the digit 3 in the number 37,518?

Back

In the number 37,518, the digit 3 is in the ten-thousands place, so its value is 30,000.

Front

How do you find the total of two fractions?

Back

To find the total of two fractions, make sure they have a common denominator, then add the numerators. For example, 85/100 + 6/10 = 85/100 + 60/100 = 145/100.