Warm up Complete Friday’s warm up & challenge, if time allows! Study your science vocabulary. Be confident in your ability to rock your quiz!!

Warm up Complete Friday’s warm up! Have your Mad Minute ready! Be confident in your ability to rock your quiz!!

Multiplying by Powers of base ten NBT.2

Learning Target I can determine the product when a decimal is multiplied by a power of 10. Repeat after me.

Our goal Complete the equations. 9.08x 10= 13x100= 9.28x100=

Powers of Ten Numbers like 10, 100, or 1,000 that can be written as products of tens are called powers of ten. Multiplying or dividing by powers of ten is related to place value.

What do you notice is happening? Think about this….. Patterns can help you understand multiplying powers of ten. Thousands Hundreds Ten Ones 3 The teacher will model how you multiply by ten to reach the next number.

Think about this…. What is happening when we multiply decimals by a power of ten? Ones Tenths Hundredths Thousandths .0 3 .3 The teacher will model how you multiply by ten to reach the next number.

Evaluate these patterns 8x1=8 8x10=80 8x100=800 8x1,000=8,000 0.009x1=0.009 0.009x10=0.09 0.009x100=0.9 0.009x1,000=9 What do you notice is happening with the zeros? What appears to be happening with the placement of the decimal?

Multiplying by powers of Ten https://www.khanacademy.org/math/cc-fifth- grade-math/cc-5th-place-value-decimals-top/cc- 5th-mult-div-decimals-10-100- 1000/a/multiplying-by-10-100-1000

You Watch Me Complete the patterns. 0.9x1= 0.9x10= 0.9x100= 0.9x1,000= How can I be certain that I am following the pattern correctly? Think back to “hopping”… Complete the patterns. 0.9x1= 0.9x10= 0.9x100= 0.9x1,000= 0.9 9 90 900

How is the placement of the decimal point changing when I divide? You Try & I will help Complete the patterns. 15x10= 15x100= 15x1,000= 1.5x1= 1.5x10= 1.5x100= 1.5x1,000= How is the placement of the decimal point changing when I divide?

How is the placement of the decimal point changing? You Try & I will help How is the placement of the decimal point changing? 1.) Complete the patterns. 37x10= 37x100= 37x1,000= 2.) Complete the patterns. 0.005x1= 0.005x10= 0.005x100= 0.005x1,000=

Try a Few then check with your partner Complete the equation. 432x100= 0.285x1,000= 7.87x10= 21.9x1,000= 43,200 285 0.787 0.0219

Try a Few More then check with your partner Complete the equation. 60.8x10= 27x100= 0.33x1,000= 509.4x1,000= 608 0.27 330 0.5094

Evaluate my work I believe that every time you multiply a number by ten you just add a zero to the end of the number. For example, 6x10=60. Is my claim ALWAYS true? Would it ever be false? If you agree with my claim, say, “ready to rock”. If not, drop the mic.

PROVE IT!!! Learning Target Can you determine the product of a decimal when you multiply it by a power of ten? PROVE IT!!!

Exit ticket Complete the equations. 9.08x 10= 13x100= 9.28x100=