Whichnumberineachofthefollowingpairsissmaller?

a.4.9×10-3or5.5×10-9

b.1250or3.4×102

c.0.0000004or5.0×102

d.2.50×102or4×105

Short Answer

Expert verified

a. In this pair 4.9X10-3and5.5X10-9smaller number is localid="1652283198439" 5.5×10-9.

b. In this pair localid="1652283204003" 1250and3.4×102smaller number is340.

c. In this pair localid="1652283209836" 0.0000004and5.0×102smaller number is 0.0000004.

d. In this pairlocalid="1652283217902" 2.50×102and4×105smaller number is localid="1652283224139" 2.50×102.

Step by step solution

01

Part (a) step 1: Given Information

We need to find which number4.9×10-3and5.5×10-9is smaller.

02

Part (a) step 2: Calculation

Convert 4.9×10-3to normal notation

=0.0049

Convert 5.5×10-9to normal notation

=0.0000000055

Now,

0.0049>0.0000000055

So, the smaller is5.5×10-9.

03

Part (b) step 1: Given Information

We need to find which number1250and3.4×102is smaller.

04

Part (b) step 2: Calculation

1250is already in normal notation

Convert 3.4×102to normal notation

=340

Now,

1250>340

So, the smaller is3.4×102.

05

Part (c) step 1: Given Information

We need to find which number 0.0000004and5.0×102is smaller.

06

Part (c) step 2: Calculation

0.0000004is already in normal notation

=0.0000004

Convert 5.0×102to normal notation

=500

Now,

500>0.0000004

So, the smaller is0.0000004.

07

Part (d) step 1: Given Information

We need to find which number 2.50×102and4×105is smaller.

08

Part (d) step 2: Calculation

Convert 2.5×102to normal notation

=250

Convert 4×105to normal notation

=400000

Now,

40000>250

So, the smaller is2.5×102.

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