What this lesson shows
7.8 × 0.1 is a tenth of 7.8: each digit one place right, 0.78. Then 7.8 × 0.01 = 0.078.
The worked example
The lesson works this one step by step: 7.8 × 0.1. Then your kid tries one like it on paper.
The steps
- Put it in the chart
- Times 0.1: one place right
- Times 0.01: two places right
Helping at home
Put the number in a place value chart. Times 0.1 is one tenth of it: each digit moves one place right. Times 0.01 moves each digit two places. The point stays between the ones and the tenths.
If your kid gets stuck
Use a place value chart. The digits move, not the point.
Watch it with Lux
With Lux, this lesson is a narrated video and a printed page your kid works on. Then Lux helps with the same math on their own worksheet, one question at a time.
Standards
- Common Core 5.NBT.A.2
Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
Matches a standard in all 50 states and DCSee each state's code
- Alabama MA19.5.3a, MA19.5.3b
- Alaska 5.NBT.2
- Arizona 5.NBT.A.1 *, 5.NBT.A.2
- Arkansas 5.NPV.2, 5.CAR.12
- California 5.NBT.A.2
- Colorado 5.NBT.A.2
- Connecticut 5.NBT.A.2
- Delaware 5.NBT.A.2
- District of Columbia 5.NBT.A.2
- Florida MA.5.NSO.1.1, MA.5.NSO.2.5
- Georgia 5.NR.1.2
- Hawaii 5.NBT.A.2
- Idaho 5.NBT.A.2
- Illinois 5.NBT.A.2
- Indiana 5.NS.3
- Iowa 5.NBT.A.2
- Kansas 5.NBT.2
- Kentucky KY.5.NBT.2
- Louisiana 5.NBT.A.2
- Maine 5.NBT.A.2
- Maryland 5.NOS.A.2
- Massachusetts 5.NBT.A.2
- Michigan 5.NBT.A.2
- Minnesota 4.1.1.2
- Mississippi 5.NBT.1, 5.NBT.2
- Missouri 5.NBT.A.3, 5.NBT.A.4
- Montana MT.5.NBT.2, 5.D3.1, 5.D4.3, 5.D4.4
- Nebraska 5.N.1.b, 5.N.1.c
- Nevada 5.NBT.A.2
- New Hampshire 5.NBT.A.2
- New Jersey 5.NBT.A.2
- New Mexico 5.NBT.A.2
- New York NY-5.NBT.2
- North Carolina NC.5.NBT.1.b
- North Dakota 5.NO.NBT.7
- Ohio 5.NBT.2
- Oklahoma 4.N.1.3
- Oregon 5.NBT.A.2
- Pennsylvania CC.2.1.5.B.1
- Rhode Island 5.NBT.A.2
- South Carolina 5.NR.1.2, 5.NR.1.4
- South Dakota 5.NBT.A.2
- Tennessee 5.NBT.A.2
- Texas 111.6.b.4.B
- Utah 5.NBT.2
- Vermont 5.NBT.A.2
- Virginia 4.NS.4a, 4.NS.4d, 5.CE.3c.iii
- Washington 5.NBT.A.2
- West Virginia M.5.5
- Wisconsin M.5.NBT.A.2
- Wyoming 5.NBT.2