Decimal Numbers and Place Value Quiz

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Questions and Answers

What is the value of the digit 7 in the number 3.74?

0.7 (correct)

0.07

A zero placed to the right of the last digit in a decimal number changes the value of the number.

False

How do you express the decimal number 231.94 in words?

Two hundred thirty-one and ninety-four hundredths

In the decimal number _____, the digit 4 is in the tenths place.

6.47 Signup and view all the answers

Match the following numbers with their expanded forms:

0.56 = 0.5 + 0.06 2.95 = 2 + 0.9 + 0.05 3.56 = 3 + 0.5 + 0.06 4720.94 = 4000 + 700 + 20 + 0.9 + 0.04 Signup and view all the answers

Which of the following numbers represents fifty-two dollars and twenty-three cents?

52.23 Signup and view all the answers

In English, the decimal separator is a comma.

False Signup and view all the answers

What is the value of the underlined digit in the number 188.5 if the digit 8 is underlined?

80 Signup and view all the answers

Which of the following correctly represents the number 3.6 in expanded form?

3 + 6/10 Signup and view all the answers

The decimal notation '0.200' has a value different from '0.2'.

False Signup and view all the answers

What is the value of the digit '7' in the number 56.789?

0.07 Signup and view all the answers

When rounding 3.76 to the nearest whole number, the answer is ______.

4 Signup and view all the answers

Which number is greater: 4.5 or 4.05?

4.5 Signup and view all the answers

In decimal notation, the word 'and' indicates the decimal point.

True Signup and view all the answers

Name the place value of the underlined digit in the number 0.54, where the digit '5' is underlined.

Tenths Signup and view all the answers

Match the place value with the correct example:

Tenths = 0.3 Hundredths = 0.04 Thousandths = 0.005 Ones = 5 Signup and view all the answers

The decimal 0.6 is greater than the decimal 0.65.

False Signup and view all the answers

What does the term 'place value' refer to in decimal numbers?

The value of each digit in a number based on its position. Signup and view all the answers

The decimal notation for 250 cents is ______.

2.50 Signup and view all the answers

What is 3.67 rounded to the nearest whole number?

4 Signup and view all the answers

Write the number 74.25 in expanded form.

70 + 4 + 0.2 + 0.05 Signup and view all the answers

Match the number with its place value representation:

0.9 = 9 tenths 0.04 = 4 hundredths 3.5 = 3 and 5 tenths 1.25 = 1 and 25 hundredths Signup and view all the answers

When comparing decimal numbers, if the digits are the same up to a certain place, you move to the ______ place value to determine which is larger.

next Signup and view all the answers

Study Notes

Alberta - Grade 4 Math - Place Value

Place Value: Students apply place value to decimal numbers.
Grade 4 Numbers: Numbers in base-10 have place values; each place has one-tenth the value of the place to its left. Multiplying or dividing by 10 shifts place value one position to the left or right.
Decimal Separator: The decimal separator is a point in English and a comma in French.
Decimal Numbers: Decimal numbers are numbers between natural numbers; they are fractions with denominators of 10, 100, etc. Decimals can represent whole and parts (e.g., dollars and cents).
Patterns in Place Value: Patterns in place value are used to read and write numbers, including wholes and parts. A zero placed to the right of the last digit in a decimal does not change the value of the number. The word "and" is used to indicate the decimal point when reading a number.
Skills and Procedures:
- Identify the place value of each digit including tenths and hundredths.
- Relate the values of adjacent places.
- Determine the value of each digit in a number, including tenths and hundredths.
- Express numbers, including decimals, using words and numerals.
- Express various compositions of a number, including decimals, using place value.
- Recognize decimal notation in English and French.
- Round numbers to various places, including tenths.
- Compare and order decimal numbers using <, >, =.
- Express a monetary value in cents as a monetary value in dollars using decimal notation
Lesson Breakdown:
- Lesson 1: Introduction to Decimal Numbers and Place Value
- Lesson 2: Reading and Writing Decimal Numbers
- Lesson 3: Comparing and Ordering Decimal Numbers
- Lesson 4: Rounding Decimal Numbers
- Lesson 5: Decimals and Money
- Unit Exam

Number Talk Examples

123 Number Talk (Candy Sharing): Students imagine sharing 12 pieces of candy among 4 friends. This example focuses on basic division. Example problems include an amount of 14 pieces or more to be distributed fairly among 4 friends.
Number Talk (Value of 7 in 3.74): Students are expected to identify the value of the digit 7 in the number 3.74 using numbers, a fraction and a picture.
Number Talk (Converting Monetary Value): Students encounter conversion from cents to dollars.

Minds On Examples

Example Problem (Place Value Chart Exercise): Students are presented with several numbers (e.g., 231, 2310, 45876, 3, 86) to be written in a place value chart.
Problem (Determining the Values on a Place Value Chart): Students will determine the value of each underlined digit in the provided numbers (e.g., 231, 2310, 45876, 3, 86) by multiplying the underlined number by the respective place value.
Problem (Place Value Chart): The problems are further explored by asking students to consider how to place the number 2508.37 in a place value chart.
Problem (Creating a Number Line): Students may have an example provided (number line from 12-14)
Problem (Determining the Length between Two Values): Students examine situations where a quantity is described between two values (e.g., the length of a pencil is somewhere between 20 cm and 21 cm).

Games

Place Value Battle Decimals, Decimal Pickle: Math games for practicing decimal values

Additional Information

Decimals are used to show parts of a whole.
The decimal point separates the whole number part from the smaller parts.
Decimals are helpful when talking about money and measurements.
Different countries use different notations for decimals.
Using a number line and place value charts allow students to visualize the values of decimal numbers.
Students round numbers.
Decimals and money are reviewed.

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Description

Test your knowledge on decimal numbers, their place values, and how to express them in words. This quiz includes various questions about rounding, expanded forms, and the significance of digits in decimal notation. Perfect for reinforcing your understanding of decimals in mathematics.