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Week 01 · Ten times and one tenth

Monday

Ten times as much
// Place value and powers of 10
⏱ about 15 min

Monday: Ten times as much

Bennie the Bear sets four baskets in a row on the warm grass.

Each basket holds one smooth stone with a 3 painted on it.

"Welcome to Grade 5 math," says Bennie. "This summer we start with place value."

Rosie the Rabbit hops over and peeks into every basket.

"Every stone says 3," she says. "So every stone is worth the same, right?"

Bennie lines the baskets up to make the number 3,333.

"They look the same," he says, "but each 3 is worth ten times the 3 to its right."

Rosie's ears stand up tall. "Show me how!"

Learn it: each place is ten times the place to its right

Here is 3,333 in a place value chart.

A place value chart showing 3,333

The 3 in the ones place is worth 3.

The 3 in the tens place is worth 30.

The 3 in the hundreds place is worth 300.

The 3 in the thousands place is worth 3,000.

Each move one place to the left makes the value 10 times as much.

Ten groups of three dots, which makes 30

Why ten? Ten groups of 3 make 30, so 10 × 3 = 30.

In the same way, 10 × 30 = 300 and 10 × 300 = 3,000.

WHAT IS THE DIGIT WORTH?
  • Read the question.
  • Tap your answer.
In 4,382, what is the value of the 3?
In 25,914, what is the value of the 5?
In 607,281, what is the value of the 7?
In 9,046, what is the value of the 4?
HOW MANY TIMES AS MUCH?
  • Read the question.
  • Tap your answer.
700 = ? × 70
5,000 = ? × 500
60 = ? × 6
In 8,888, the hundreds 8 is worth how many times the tens 8?
TEN TIMES THE VALUE
  • Read the question.
  • Tap your answer.
10 × 40 = ?
10 × 600 = ?
10 × 2,000 = ?
Which number is ten times 90?
SentenceTrue or false?
3,000 = 10 × 300?
500 = 10 × 5?
80 = 10 × 8?
In 5,555, every 5 is worth the same.?
WHY THIS EXERCISE10 × 5 is 50, so 500 is ten times 50. In 5,555, each 5 has a different value.
LEAST TO GREATEST VALUE
  • Find what each 6 is worth.
  • Put them from least to greatest.
11st
22nd
33rd
44th
Try it
On paper, make a chart with four columns: thousands, hundreds, tens and ones.
Write a 4 on a small scrap of paper and set it in the ones place.
Say its value. Then slide it one place to the left.
Say the new value. What happens each time you slide it?
Draw a place value chart and show a 5 that is worth 500.

Great thinking! Tomorrow we slide the other way and meet one tenth.