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B. Number · Number Sense: Numbers to 100 000, Fractions, Decimals and Percents

Number Sense: Numbers to 100 000, Fractions, Decimals and Percents: Unit Review

A1 B1.1 B1.2 B1.3 B1.4 B1.5 B1.6 B1.7About 40 minutes
Learning goals
  • I can read, write, build, break apart, compare and order whole numbers to 100 000.
  • I can find equivalent fractions, and change between improper fractions and mixed numbers.
  • I can compare and order fractions and mixed numbers from halves to twelfths.
  • I can read, compare, order and round decimals to hundredths.
  • I can show how fractions, decimals and percents are related.

Words to know

ten thousands place
The fifth place from the right in a whole number. In 45 320 the 4 is worth 40 000.
expanded form
A number written as the sum of its place values, like 60 000 + 3000 + 400 + 80 + 2.
equivalent fractions
Fractions that name the same amount, like 2/3 and 8/12.
improper fraction
A fraction equal to or greater than 1, like 7/4.
mixed number
A whole number and a fraction, like 1 3/4.
hundredth
One of 100 equal parts: 1/100 = 0.01.
percent (%)
Out of 100. 45% = 45/100 = 0.45.

Let's review!

In this unit you worked with whole numbers all the way to 100 000. You found equivalent fractions from halves to twelfths, changed between improper fractions and mixed numbers, and compared and ordered them. You learned decimal hundredths, compared them, rounded them to the nearest tenth, and connected fractions, decimals and percents.

This review has a few questions from every lesson. Try each one, then press Show answer to check. If a part feels tricky, go back to that lesson for more practice.

tenthousands10 000thousands1000hundreds100tens10ones1tenths0.1hundredths0.01× 10× 10× 10× 10× 10× 10
Every place is worth 10 times the place to its right, from hundredths all the way up to ten thousands. The dot is the decimal point.

Reading, Writing and Using Numbers to 100 000

1

Write 70 405 in words.

2

Write twenty-three thousand eighty as a numeral.

3

Count by 10 000s: 60 000, 70 000, ___, ___

Place Value: Building and Breaking Apart Numbers to 100 000

1

Write 56 207 in expanded form.

2

What is the value of the 8 in 38 461?

3

What number is 5 ten thousands + 13 thousands + 6 tens?

4

How many hundreds are in 41 700?

Comparing and Ordering Numbers to 100 000

1

Use >, < or =: 39 999 ___ 40 001

2

Order from least to greatest: 72 150, 27 510, 72 015

3

Which place decides: 58 306 or 58 360?

Equivalent Fractions from Halves to Twelfths

1

3/4 = ?/12

2

8/10 = ?/5

3

Write two fractions equal to 2/3.

Improper Fractions and Mixed Numbers

1

Write 13/4 as a mixed number.

2

Write 2 5/6 as an improper fraction.

3

10/5 = ?

Comparing and Ordering Fractions

1

Use >, < or =: 3/7 ___ 3/10

2

Use >, < or =: 5/6 ___ 3/4

3

Order from least to greatest: 2/3, 1/6, 1/2

Comparing and Ordering Mixed Numbers and Improper Fractions

1

Use >, < or =: 11/4 ___ 2 1/2

2

Order from least to greatest: 1 2/3, 7/4, 2, 3/2

3

Which whole numbers is 19/4 between?

Decimal Hundredths: Reading, Writing and Showing

1

Write five and eight hundredths as a decimal.

2

What is the value of the 3 in 1.53?

3

Write 3 m 9 cm in metres.

Comparing and Ordering Decimals to Hundredths

1

Use >, < or =: 0.9 ___ 0.89

2

Order from least to greatest: 2.5, 2.05, 2.55, 2.15

3

Race times: 15.62 s and 15.26 s. Which is faster?

Rounding Decimals to the Nearest Tenth

1

Round 6.74 to the nearest tenth.

2

Round 0.35 to the nearest tenth.

3

Round 2.97 to the nearest tenth.

2/5 = 4/10 = 40/100 = 0.4 = 40%One amount, five names4 columns = 40 squares out of 100
The shaded part of the hundred grid can be named as a fraction, a decimal or a percent: 2/5 = 4/10 = 40/100 = 0.4 = 40%.

Fractions and Decimals to Hundredths

1

Write 3/4 as a decimal.

2

Write 0.6 as a fraction in fifths.

3

Write 4 1/2 as a decimal.

Percents: Fractions, Decimals and Percents

1

Write 82% as a fraction and a decimal.

2

Write 1/5 as a percent.

3

6 out of 10 students skate. What percent is that?

4

Which is greatest: 0.3, 25%, 1/2?

Just for fun

Why did 1/2, 0.5 and 50% go to the party together?

They're the same amount of fun in three different outfits!

How to use this review

  • Do the review over two or three short sittings. Each section matches one lesson.
  • Use tools when you need them: paper strips, an egg carton, coins, a measuring tape, or a hundred grid you draw yourself.
  • For comparing, always line up places (whole numbers) or decimal points (decimals), and change fractions to the same form first.
  • Say your thinking out loud to your grown-up. Explaining is part of Grade 5 math.
  • Put a star next to any question you got wrong, and go back to that lesson's practice.
Check your understanding

Quiz

1.

Which numeral is sixty thousand three hundred two?

2.

What is the value of the 4 in 24 905?

3.

Which is true?

4.

2/3 = ?/12

5.

17/5 = ?

6.

Which is greater: 5/8 or 3/4?

7.

How do you read 4.07?

8.

Which list is in order from least to greatest?

9.

Round 8.35 to the nearest tenth.

10.

Which is not equal to the others?

For parents and teachers

Use mistakes to choose what to revisit. Each review section matches one lesson.

  • Leaves out zeros (writes 23 080 as 2380), or says "and" in whole numbers: revisit Reading, Writing and Using Numbers to 100 000.
  • Confuses a digit with its value, or can't regroup 13 thousands: revisit Place Value: Building and Breaking Apart Numbers to 100 000 with paper money.
  • Compares first digits of numbers with different lengths, or looks at the wrong place: revisit Comparing and Ordering Numbers to 100 000.
  • Adds the same number to top and bottom (1/2 = 2/3), or changes only one number: revisit Equivalent Fractions from Halves to Twelfths with an egg carton.
  • Pushes digits together (2 3/4 = 23/4) or forgets leftovers: revisit Improper Fractions and Mixed Numbers with measuring cups.
  • Thinks a bigger denominator means a bigger fraction: revisit Comparing and Ordering Fractions and fold paper strips.
  • Is fooled by big fraction parts or big numerators (thinks 2 7/8 > 3 1/8): revisit Comparing and Ordering Mixed Numbers and Improper Fractions.
  • Writes 3.5 for three and five hundredths, or reads 0.37 as "thirty-seven": revisit Decimal Hundredths: Reading, Writing and Showing with coins and a measuring tape.
  • Thinks longer decimals are bigger (0.45 > 0.6): revisit Comparing and Ordering Decimals to Hundredths.
  • Looks at the wrong digit when rounding, or writes 6.10 for 6.95 rounded: revisit Rounding Decimals to the Nearest Tenth.
  • Writes 1/4 = 0.14 or 7/100 = 0.7: revisit Fractions and Decimals to Hundredths with coins.
  • Writes 0.8 = 8%, or thinks a percent is a count: revisit Percents: Fractions, Decimals and Percents with a hundred grid.

A few mistakes are normal. Praise the strategy your child explains, not only the right answer.