Skills Covered

How to Use This Pack

Five pages on multiplying and dividing by powers of ten. Page 1 shows that 10³ = 10 × 10 × 10 = 1,000: the exponent tells how many tens are multiplied, and it is also the number of zeros. Students fill a table of powers, multiply whole numbers by 10, 100, and 1,000 to see the pattern of zeros, and find missing exponents. Page 2 multiplies decimals in a place value chart: each digit moves one place left for each 10, so 6 hundredths become 6 tenths. Students draw the arrows, then multiply without the chart. Page 3 does the same for dividing, where the digits move right. Page 4 mixes it all: pattern tables with 10¹, 10², and 10³, missing numbers such as 0.45 × ___ = 45, and comparing with >, <, and =. Page 5 changes meters, centimeters, millimeters, grams, kilograms, milliliters, and liters, counts dimes and pennies, and asks which of two answers is right, and why.

In the Classroom

Draw a large place value chart on the board and write 0.36 in it. Multiply by 10 and move each digit one column left: the 3 tenths become 3 ones. Ask what happened to the decimal point (it stayed put, the digits moved). On page 4, read the pattern tables aloud across each row and ask what each step does to every digit.

At Home

Use money: 10 dimes make a dollar and 100 pennies make a dollar, so $2.40 is 24 dimes or 240 pennies. In the kitchen, read labels in grams and kilograms or milliliters and liters, and change one into the other together.

Tips for Success

• The exponent tells how many tens are multiplied: 10² = 10 × 10 = 100
• Times 10, each digit moves one place left and is worth 10 times as much
• Divided by 10, each digit moves one place right and is worth one tenth as much
• Times or divided by 100, the digits move two places; by 1,000, three places
• Fill empty places with zeros: 7 ÷ 1,000 = 0.007